TY  - JOUR
AU  - Rajagopal, Karthikeyan
AU  - Parastesh, Fatemeh
AU  - Azarnoush, Hamed
AU  - Hatef, Boshra
AU  - Jafari, Sajad
AU  - Berec, Vesna I.
PY  - 2019
UR  - http://aip.scitation.org/doi/10.1063/1.5088654
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8147
AB  - Spiral waves are particular spatiotemporal patterns connected to specific phase singularities representing topological wave dislocations or nodes of zero amplitude, witnessed in a wide range of complex systems such as neuronal networks. The appearance of these waves is linked to the network structure as well as the diffusion dynamics of its blocks. We report a novel form of the Hindmarsh-Rose neuron model utilized as a square neuronal network, showing the remarkable multistructure of dynamical patterns ranging from characteristic spiral wave domains of spatiotemporal phase coherence to regions of hyperchaos. The proposed model comprises a hyperbolic memductance function as the monotone differentiable magnetic flux. Hindmarsh-Rose neurons with an external electromagnetic excitation are considered in three different cases: no excitation, periodic excitation, and quasiperiodic excitation. We performed an extensive study of the neuronal dynamics including calculation of equilibrium points, bifurcation analysis, and Lyapunov spectrum. We have found the property of antimonotonicity in bifurcation scenarios with no excitation or periodic excitation and identified wide regions of hyperchaos in the case of quasiperiodic excitation. Furthermore, the formation and elimination of the spiral waves in each case of external excitation with respect to stimuli parameters are investigated. We have identified novel forms of Hindmarsh-Rose bursting dynamics. Our findings reveal multipartite spiral wave formations and symmetry breaking spatiotemporal dynamics of the neuronal model that may find broad practical applications. © 2019 Author(s).
T2  - Chaos
T1  - Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux
VL  - 29
IS  - 4
SP  - 043109
DO  - 10.1063/1.5088654
ER  - 

@article{
author = "Rajagopal, Karthikeyan and Parastesh, Fatemeh and Azarnoush, Hamed and Hatef, Boshra and Jafari, Sajad and Berec, Vesna I.",
year = "2019",
abstract = "Spiral waves are particular spatiotemporal patterns connected to specific phase singularities representing topological wave dislocations or nodes of zero amplitude, witnessed in a wide range of complex systems such as neuronal networks. The appearance of these waves is linked to the network structure as well as the diffusion dynamics of its blocks. We report a novel form of the Hindmarsh-Rose neuron model utilized as a square neuronal network, showing the remarkable multistructure of dynamical patterns ranging from characteristic spiral wave domains of spatiotemporal phase coherence to regions of hyperchaos. The proposed model comprises a hyperbolic memductance function as the monotone differentiable magnetic flux. Hindmarsh-Rose neurons with an external electromagnetic excitation are considered in three different cases: no excitation, periodic excitation, and quasiperiodic excitation. We performed an extensive study of the neuronal dynamics including calculation of equilibrium points, bifurcation analysis, and Lyapunov spectrum. We have found the property of antimonotonicity in bifurcation scenarios with no excitation or periodic excitation and identified wide regions of hyperchaos in the case of quasiperiodic excitation. Furthermore, the formation and elimination of the spiral waves in each case of external excitation with respect to stimuli parameters are investigated. We have identified novel forms of Hindmarsh-Rose bursting dynamics. Our findings reveal multipartite spiral wave formations and symmetry breaking spatiotemporal dynamics of the neuronal model that may find broad practical applications. © 2019 Author(s).",
journal = "Chaos",
title = "Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux",
volume = "29",
number = "4",
pages = "043109",
doi = "10.1063/1.5088654"
}

Rajagopal, K., Parastesh, F., Azarnoush, H., Hatef, B., Jafari, S.,& Berec, V. I.. (2019). Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux. in Chaos, 29(4), 043109.
https://doi.org/10.1063/1.5088654

Rajagopal K, Parastesh F, Azarnoush H, Hatef B, Jafari S, Berec VI. Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux. in Chaos. 2019;29(4):043109.
doi:10.1063/1.5088654 .

Rajagopal, Karthikeyan, Parastesh, Fatemeh, Azarnoush, Hamed, Hatef, Boshra, Jafari, Sajad, Berec, Vesna I., "Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux" in Chaos, 29, no. 4 (2019):043109,
https://doi.org/10.1063/1.5088654 . .

TY  - CONF
AU  - Berec, Vesna I.
PY  - 2018
UR  - https://www.epj-conferences.org/10.1051/epjconf/201818202014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7873
AB  - To utilize a scalable quantum network and perform a quantum state transfer within distant arbitrary nodes, coherence and control of the dynamics of couplings between the information units must be achieved as a prerequisite ingredient for quantum information processing within a hierarchical structure. Graph theoretic approach provides a powerful tool for the characterization of quantum networks with non-trivial clustering properties. By encoding the topological features of the underlying quantum graphs, relations between the quantum complexity measures are presented revealing the intricate links between a quantum and a classical networks dynamics. © The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0.
PB  - EPJ Web of Conferences
C3  - 6th International Conference on New Frontiers in Physics - ICNFP 2017; OACCrete, Greece, August 17th-29th 2017
T1  - Quantum networks: topology and spectral characterization
VL  - 182
SP  - 02014
DO  - 10.1051/epjconf/201818202014
ER  - 

@conference{
author = "Berec, Vesna I.",
year = "2018",
abstract = "To utilize a scalable quantum network and perform a quantum state transfer within distant arbitrary nodes, coherence and control of the dynamics of couplings between the information units must be achieved as a prerequisite ingredient for quantum information processing within a hierarchical structure. Graph theoretic approach provides a powerful tool for the characterization of quantum networks with non-trivial clustering properties. By encoding the topological features of the underlying quantum graphs, relations between the quantum complexity measures are presented revealing the intricate links between a quantum and a classical networks dynamics. © The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0.",
publisher = "EPJ Web of Conferences",
journal = "6th International Conference on New Frontiers in Physics - ICNFP 2017; OACCrete, Greece, August 17th-29th 2017",
title = "Quantum networks: topology and spectral characterization",
volume = "182",
pages = "02014",
doi = "10.1051/epjconf/201818202014"
}

Berec, V. I.. (2018). Quantum networks: topology and spectral characterization. in 6th International Conference on New Frontiers in Physics - ICNFP 2017; OACCrete, Greece, August 17th-29th 2017
EPJ Web of Conferences., 182, 02014.
https://doi.org/10.1051/epjconf/201818202014

Berec VI. Quantum networks: topology and spectral characterization. in 6th International Conference on New Frontiers in Physics - ICNFP 2017; OACCrete, Greece, August 17th-29th 2017. 2018;182:02014.
doi:10.1051/epjconf/201818202014 .

Berec, Vesna I., "Quantum networks: topology and spectral characterization" in 6th International Conference on New Frontiers in Physics - ICNFP 2017; OACCrete, Greece, August 17th-29th 2017, 182 (2018):02014,
https://doi.org/10.1051/epjconf/201818202014 . .

TY  - JOUR
AU  - Berec, Vesna I.
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1627
AB  - Complexity is highly susceptible to variations in the network dynamics, reflected on its underlying architecture where topological organization of cohesive subsets into clusters, systems modular structure and resulting hierarchical patterns, are cross-linked with functional dynamics of the system. Here we study connection between hierarchical topological scales of the simplicial complexes and the organization of functional clusters - communities in complex networks. The analysis reveals the full dynamics of different combinatorial structures of q-th-dimensional simplicial complexes and their Laplacian spectra, presenting spectral properties of resulting symmetric and positive semidefinite matrices. The emergence of systems collective behavior from inhomogeneous statistical distribution is induced by hierarchically ordered topological structure, which is mapped to simplicial complex where local interactions between the nodes clustered into subcomplexes generate flow of information that characterizes complexity and dynamics of the full system.
T2  - European Physical Journal : Special Topics
T1  - Complexity and dynamics of topological and community structure in complex networks
VL  - 226
IS  - 10
SP  - 2205
EP  - 2218
DO  - 10.1140/epjst/e2016-60398-3
ER  - 

@article{
author = "Berec, Vesna I.",
year = "2017",
abstract = "Complexity is highly susceptible to variations in the network dynamics, reflected on its underlying architecture where topological organization of cohesive subsets into clusters, systems modular structure and resulting hierarchical patterns, are cross-linked with functional dynamics of the system. Here we study connection between hierarchical topological scales of the simplicial complexes and the organization of functional clusters - communities in complex networks. The analysis reveals the full dynamics of different combinatorial structures of q-th-dimensional simplicial complexes and their Laplacian spectra, presenting spectral properties of resulting symmetric and positive semidefinite matrices. The emergence of systems collective behavior from inhomogeneous statistical distribution is induced by hierarchically ordered topological structure, which is mapped to simplicial complex where local interactions between the nodes clustered into subcomplexes generate flow of information that characterizes complexity and dynamics of the full system.",
journal = "European Physical Journal : Special Topics",
title = "Complexity and dynamics of topological and community structure in complex networks",
volume = "226",
number = "10",
pages = "2205-2218",
doi = "10.1140/epjst/e2016-60398-3"
}

Berec, V. I.. (2017). Complexity and dynamics of topological and community structure in complex networks. in European Physical Journal : Special Topics, 226(10), 2205-2218.
https://doi.org/10.1140/epjst/e2016-60398-3

Berec VI. Complexity and dynamics of topological and community structure in complex networks. in European Physical Journal : Special Topics. 2017;226(10):2205-2218.
doi:10.1140/epjst/e2016-60398-3 .

Berec, Vesna I., "Complexity and dynamics of topological and community structure in complex networks" in European Physical Journal : Special Topics, 226, no. 10 (2017):2205-2218,
https://doi.org/10.1140/epjst/e2016-60398-3 . .

TY  - JOUR
AU  - Berec, Vesna I.
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/958
AB  - The collective dynamics of Kuramoto oscillators with a positive correlation between the incoherent and fully coherent domains in clustered scale-free networks is studied. Emergence of chimera states for the onsets of explosive synchronization transition is observed during an intermediate coupling regime when degree-frequency correlation is established for the hubs with the highest degrees. Diagnostic of the abrupt synchronization is revealed by the intrinsic spectral properties of the network graph Laplacian encoded in the heterogeneous phase space manifold, through extensive analytical investigation, presenting realistic MC simulations of nonlocal interactions in discrete time dynamics evolving on the network.
PB  - Springer
T2  - European Physical Journal : Special Topics
T1  - Explosive synchronization in clustered scale-free networks: Revealing the existence of chimera state
VL  - 225
IS  - 1
SP  - 7
EP  - 15
DO  - 10.1140/epjst/e2016-02611-2
ER  - 

@article{
author = "Berec, Vesna I.",
year = "2016",
abstract = "The collective dynamics of Kuramoto oscillators with a positive correlation between the incoherent and fully coherent domains in clustered scale-free networks is studied. Emergence of chimera states for the onsets of explosive synchronization transition is observed during an intermediate coupling regime when degree-frequency correlation is established for the hubs with the highest degrees. Diagnostic of the abrupt synchronization is revealed by the intrinsic spectral properties of the network graph Laplacian encoded in the heterogeneous phase space manifold, through extensive analytical investigation, presenting realistic MC simulations of nonlocal interactions in discrete time dynamics evolving on the network.",
publisher = "Springer",
journal = "European Physical Journal : Special Topics",
title = "Explosive synchronization in clustered scale-free networks: Revealing the existence of chimera state",
volume = "225",
number = "1",
pages = "7-15",
doi = "10.1140/epjst/e2016-02611-2"
}

Berec, V. I.. (2016). Explosive synchronization in clustered scale-free networks: Revealing the existence of chimera state. in European Physical Journal : Special Topics
Springer., 225(1), 7-15.
https://doi.org/10.1140/epjst/e2016-02611-2

Berec VI. Explosive synchronization in clustered scale-free networks: Revealing the existence of chimera state. in European Physical Journal : Special Topics. 2016;225(1):7-15.
doi:10.1140/epjst/e2016-02611-2 .

Berec, Vesna I., "Explosive synchronization in clustered scale-free networks: Revealing the existence of chimera state" in European Physical Journal : Special Topics, 225, no. 1 (2016):7-15,
https://doi.org/10.1140/epjst/e2016-02611-2 . .

TY  - JOUR
AU  - Berec, Vesna I.
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/959
AB  - We study the coupling and control adaptation of a hybrid electron-nuclear spin system using the laser mediated proton beam in MeV energy regime. The asymmetric control mechanism is based on exact optimization of both: the measure of exchange interaction and anisotropy of the hyperfine interaction induced in the resonance with optimal channeled protons (CP) superfocused field, allowing manipulation over arbitrary localized spatial centers while addressing only the electron spin. Using highly precise and coherent proton channeling regime we have obtained efficient pulse shaping separator technique aimed for spatio-temporal engineering of quantum states, introducing a method for control of nuclear spins, which are coupled via anisotropic hyperfine interactions in isolated electron spin manifold, without radio wave (RW) pulses. The presented method can be efficiently implemented in synchronized spin networks with the purpose to facilitate preservation and efficient transfer of experimentally observed quantum particle states, contributing to the overall background noise reduction.
PB  - Springer
T2  - European Physical Journal : Special Topics
T1  - Coupling and control in coherently driven and asymmetrically synchronized hybrid electron-nuclear spin system
VL  - 225
IS  - 1
SP  - 197
EP  - 209
DO  - 10.1140/epjst/e2016-02621-0
ER  - 

@article{
author = "Berec, Vesna I.",
year = "2016",
abstract = "We study the coupling and control adaptation of a hybrid electron-nuclear spin system using the laser mediated proton beam in MeV energy regime. The asymmetric control mechanism is based on exact optimization of both: the measure of exchange interaction and anisotropy of the hyperfine interaction induced in the resonance with optimal channeled protons (CP) superfocused field, allowing manipulation over arbitrary localized spatial centers while addressing only the electron spin. Using highly precise and coherent proton channeling regime we have obtained efficient pulse shaping separator technique aimed for spatio-temporal engineering of quantum states, introducing a method for control of nuclear spins, which are coupled via anisotropic hyperfine interactions in isolated electron spin manifold, without radio wave (RW) pulses. The presented method can be efficiently implemented in synchronized spin networks with the purpose to facilitate preservation and efficient transfer of experimentally observed quantum particle states, contributing to the overall background noise reduction.",
publisher = "Springer",
journal = "European Physical Journal : Special Topics",
title = "Coupling and control in coherently driven and asymmetrically synchronized hybrid electron-nuclear spin system",
volume = "225",
number = "1",
pages = "197-209",
doi = "10.1140/epjst/e2016-02621-0"
}

Berec, V. I.. (2016). Coupling and control in coherently driven and asymmetrically synchronized hybrid electron-nuclear spin system. in European Physical Journal : Special Topics
Springer., 225(1), 197-209.
https://doi.org/10.1140/epjst/e2016-02621-0

Berec VI. Coupling and control in coherently driven and asymmetrically synchronized hybrid electron-nuclear spin system. in European Physical Journal : Special Topics. 2016;225(1):197-209.
doi:10.1140/epjst/e2016-02621-0 .

Berec, Vesna I., "Coupling and control in coherently driven and asymmetrically synchronized hybrid electron-nuclear spin system" in European Physical Journal : Special Topics, 225, no. 1 (2016):197-209,
https://doi.org/10.1140/epjst/e2016-02621-0 . .

TY  - JOUR
AU  - Berec, Vesna I.
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1046
AB  - Transition to explosive synchronization is exhibited in networks of Kuramoto oscillators with a positive correlation between the oscillator dynamics and their inner topological structure encoded in the vertex degrees relations, shedding a light over the explosive critical phenomena. Here we study emergence of chimera states for the large amplitude oscillations when degree-frequency correlation is established only for the vertices with the highest degrees. For the strong coupling regime no simultaneous coexistence of coherence and incoherence signatures is observed. The connection between the network dynamics and the range and strength of coupling is elucidated through extensive analytical investigation, presenting realistic simulations of a scale-free neural network of Caenorhabditis elegans. (C) 2016 Elsevier Ltd. All rights reserved.
T2  - Chaos, Solitons and Fractals
T1  - Chimera state and route to explosive synchronization
VL  - 86
SP  - 75
EP  - 81
DO  - 10.1016/j.chaos.2016.02.028
ER  - 

@article{
author = "Berec, Vesna I.",
year = "2016",
abstract = "Transition to explosive synchronization is exhibited in networks of Kuramoto oscillators with a positive correlation between the oscillator dynamics and their inner topological structure encoded in the vertex degrees relations, shedding a light over the explosive critical phenomena. Here we study emergence of chimera states for the large amplitude oscillations when degree-frequency correlation is established only for the vertices with the highest degrees. For the strong coupling regime no simultaneous coexistence of coherence and incoherence signatures is observed. The connection between the network dynamics and the range and strength of coupling is elucidated through extensive analytical investigation, presenting realistic simulations of a scale-free neural network of Caenorhabditis elegans. (C) 2016 Elsevier Ltd. All rights reserved.",
journal = "Chaos, Solitons and Fractals",
title = "Chimera state and route to explosive synchronization",
volume = "86",
pages = "75-81",
doi = "10.1016/j.chaos.2016.02.028"
}

Berec, V. I.. (2016). Chimera state and route to explosive synchronization. in Chaos, Solitons and Fractals, 86, 75-81.
https://doi.org/10.1016/j.chaos.2016.02.028

Berec VI. Chimera state and route to explosive synchronization. in Chaos, Solitons and Fractals. 2016;86:75-81.
doi:10.1016/j.chaos.2016.02.028 .

Berec, Vesna I., "Chimera state and route to explosive synchronization" in Chaos, Solitons and Fractals, 86 (2016):75-81,
https://doi.org/10.1016/j.chaos.2016.02.028 . .

TY  - CONF
AU  - Berec, Vesna I.
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7072
AB  - As todays nanotechnology focus becomes primarily oriented toward production and manipulation of materials at the subatomic level, allowing the performance and complexity of interconnects where the device density accepts more than hundreds devices on a single chip, the manipulation of semiconductor nanostructures at the subatomic level sets its prime tasks on preserving and adequate transmission of information encoded in specified (quantum) states. The presented study employs the quantum communication protocol based on the hypergraph network model where the numerical solutions of equations of motion of quantum particles are associated to vertices (assembled with device chip), which follow specific controllable paths in the phase space. We address these findings towards ultimate quest for prediction and selective control of quantum particle trajectories. In addition, presented protocols could represent valuable tool for reducing background noise and uncertainty in low-dimensional and operationally meaningful, scalable complex systems.
C3  - EPJ Web of Conferences
T1  - Phase space dynamics and control of the quantum particles associated to hypergraph states
VL  - 95
DO  - 10.1051/epjconf/20159504007
ER  - 

@conference{
author = "Berec, Vesna I.",
year = "2015",
abstract = "As todays nanotechnology focus becomes primarily oriented toward production and manipulation of materials at the subatomic level, allowing the performance and complexity of interconnects where the device density accepts more than hundreds devices on a single chip, the manipulation of semiconductor nanostructures at the subatomic level sets its prime tasks on preserving and adequate transmission of information encoded in specified (quantum) states. The presented study employs the quantum communication protocol based on the hypergraph network model where the numerical solutions of equations of motion of quantum particles are associated to vertices (assembled with device chip), which follow specific controllable paths in the phase space. We address these findings towards ultimate quest for prediction and selective control of quantum particle trajectories. In addition, presented protocols could represent valuable tool for reducing background noise and uncertainty in low-dimensional and operationally meaningful, scalable complex systems.",
journal = "EPJ Web of Conferences",
title = "Phase space dynamics and control of the quantum particles associated to hypergraph states",
volume = "95",
doi = "10.1051/epjconf/20159504007"
}

Berec, V. I.. (2015). Phase space dynamics and control of the quantum particles associated to hypergraph states. in EPJ Web of Conferences, 95.
https://doi.org/10.1051/epjconf/20159504007

Berec VI. Phase space dynamics and control of the quantum particles associated to hypergraph states. in EPJ Web of Conferences. 2015;95.
doi:10.1051/epjconf/20159504007 .

Berec, Vesna I., "Phase space dynamics and control of the quantum particles associated to hypergraph states" in EPJ Web of Conferences, 95 (2015),
https://doi.org/10.1051/epjconf/20159504007 . .

TY  - JOUR
AU  - Berec, Vesna I.
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/629
AB  - We present a theoretical study of new families of stochastic complex information modules encoded in the hypergraph states which are defined by the fractional entropic descriptor. The essential connection between the Lyapunov exponents and d-regular hypergraph fractal set is elucidated. To further resolve the divergence in the complexity of classical and quantum representation of a hypergraph, we have investigated the notion of non-amenability and its relation to combinatorics of dynamical self-organization for the case of fractal system of free group on finite generators. The exact relation between notion of hypergraph non-locality and quantum encoding through system sets of specified non-Abelian fractal geometric structures is presented. Obtained results give important impetus towards designing of approximation algorithms for chip imprinted circuits in scalable quantum information systems.
T2  - Entropy
T1  - Non-Abelian Topological Approach to Non-Locality of a Hypergraph State
VL  - 17
IS  - 5
SP  - 3376
EP  - 3399
DO  - 10.3390/e17053376
ER  - 

@article{
author = "Berec, Vesna I.",
year = "2015",
abstract = "We present a theoretical study of new families of stochastic complex information modules encoded in the hypergraph states which are defined by the fractional entropic descriptor. The essential connection between the Lyapunov exponents and d-regular hypergraph fractal set is elucidated. To further resolve the divergence in the complexity of classical and quantum representation of a hypergraph, we have investigated the notion of non-amenability and its relation to combinatorics of dynamical self-organization for the case of fractal system of free group on finite generators. The exact relation between notion of hypergraph non-locality and quantum encoding through system sets of specified non-Abelian fractal geometric structures is presented. Obtained results give important impetus towards designing of approximation algorithms for chip imprinted circuits in scalable quantum information systems.",
journal = "Entropy",
title = "Non-Abelian Topological Approach to Non-Locality of a Hypergraph State",
volume = "17",
number = "5",
pages = "3376-3399",
doi = "10.3390/e17053376"
}

Berec, V. I.. (2015). Non-Abelian Topological Approach to Non-Locality of a Hypergraph State. in Entropy, 17(5), 3376-3399.
https://doi.org/10.3390/e17053376

Berec VI. Non-Abelian Topological Approach to Non-Locality of a Hypergraph State. in Entropy. 2015;17(5):3376-3399.
doi:10.3390/e17053376 .

Berec, Vesna I., "Non-Abelian Topological Approach to Non-Locality of a Hypergraph State" in Entropy, 17, no. 5 (2015):3376-3399,
https://doi.org/10.3390/e17053376 . .

TY  - JOUR
AU  - Berec, Vesna I.
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/490
AB  - We present low-dimensional functionalization and characterization of electron density of states using highly correlated/precisely guided proton beam trajectories and a silicon nanocrystal as a target, representing at a same time a versatile nanolaser technique capable for coherent control of atomic quantum states and for scanning the interior of an atom with resolution comparable to 10% of the Bohr radius.
T2  - Laser and Particle Beams
T1  - Characterization of electron density of states in laser-superposed channeling regime
VL  - 33
IS  - 1
SP  - 1
EP  - 9
DO  - 10.1017/S0263034614000482
ER  - 

@article{
author = "Berec, Vesna I.",
year = "2015",
abstract = "We present low-dimensional functionalization and characterization of electron density of states using highly correlated/precisely guided proton beam trajectories and a silicon nanocrystal as a target, representing at a same time a versatile nanolaser technique capable for coherent control of atomic quantum states and for scanning the interior of an atom with resolution comparable to 10% of the Bohr radius.",
journal = "Laser and Particle Beams",
title = "Characterization of electron density of states in laser-superposed channeling regime",
volume = "33",
number = "1",
pages = "1-9",
doi = "10.1017/S0263034614000482"
}

Berec, V. I.. (2015). Characterization of electron density of states in laser-superposed channeling regime. in Laser and Particle Beams, 33(1), 1-9.
https://doi.org/10.1017/S0263034614000482

Berec VI. Characterization of electron density of states in laser-superposed channeling regime. in Laser and Particle Beams. 2015;33(1):1-9.
doi:10.1017/S0263034614000482 .

Berec, Vesna I., "Characterization of electron density of states in laser-superposed channeling regime" in Laser and Particle Beams, 33, no. 1 (2015):1-9,
https://doi.org/10.1017/S0263034614000482 . .

TY  - JOUR
AU  - Berec, Vesna I.
AU  - Germogli, G.
AU  - Mazzolari, A.
AU  - Guidi, V.
AU  - De Salvador, D.
AU  - Bacci, L.
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7071
AB  - In this work we report on detailed findings of planar channeling oscillations of 2 MeV He++ particles in (1 1 0) silicon crystal. The exact correlation and coherence mechanism between confined particles oscillating trajectories are analyzed theoretically and experimentally in backscattering/transmission geometry. Regular patterns of channeled He++ ion planar oscillations are shown to be dominated by the crystal harmonic-oscillator potential and multiple scattering effect. For the first time it was shown that under the planar channeling conditions trajectories of positively charged particles exhibit observable correlation dynamics, including the interference effect. Quantitative estimation of channeling efficiency is performed using path integral method. (C) 2015 Elsevier B.V. All rights reserved.
T2  - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms
T1  - Backscattering/transmission of 2 MeV He++ ions quantitative correlation study
VL  - 355
SP  - 324
EP  - 327
DO  - 10.1016/j.nimb.2015.02.003
ER  - 

@article{
author = "Berec, Vesna I. and Germogli, G. and Mazzolari, A. and Guidi, V. and De Salvador, D. and Bacci, L.",
year = "2015",
abstract = "In this work we report on detailed findings of planar channeling oscillations of 2 MeV He++ particles in (1 1 0) silicon crystal. The exact correlation and coherence mechanism between confined particles oscillating trajectories are analyzed theoretically and experimentally in backscattering/transmission geometry. Regular patterns of channeled He++ ion planar oscillations are shown to be dominated by the crystal harmonic-oscillator potential and multiple scattering effect. For the first time it was shown that under the planar channeling conditions trajectories of positively charged particles exhibit observable correlation dynamics, including the interference effect. Quantitative estimation of channeling efficiency is performed using path integral method. (C) 2015 Elsevier B.V. All rights reserved.",
journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms",
title = "Backscattering/transmission of 2 MeV He++ ions quantitative correlation study",
volume = "355",
pages = "324-327",
doi = "10.1016/j.nimb.2015.02.003"
}

Berec, V. I., Germogli, G., Mazzolari, A., Guidi, V., De Salvador, D.,& Bacci, L.. (2015). Backscattering/transmission of 2 MeV He++ ions quantitative correlation study. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 355, 324-327.
https://doi.org/10.1016/j.nimb.2015.02.003

Berec VI, Germogli G, Mazzolari A, Guidi V, De Salvador D, Bacci L. Backscattering/transmission of 2 MeV He++ ions quantitative correlation study. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2015;355:324-327.
doi:10.1016/j.nimb.2015.02.003 .

Berec, Vesna I., Germogli, G., Mazzolari, A., Guidi, V., De Salvador, D., Bacci, L., "Backscattering/transmission of 2 MeV He++ ions quantitative correlation study" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 355 (2015):324-327,
https://doi.org/10.1016/j.nimb.2015.02.003 . .

TY  - CONF
AU  - Berec, Vesna I.
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7073
AB  - A key challenge in quantum state engineering is to identify coherent quantum mechanical systems that can be precisely manipulated and scaled, but at the same time to allow decoupling from unwanted interactions. Such systems, once realized, would represent an efficient tool for characterization of quantum behavior reflected in the properties of matter with prerequisites for meeting dissipation constraints imposed in the nuclear physics as well in the quantum information theory. Using the pure(29)Si nanocrystal system we present a novel high resolution method for initialization of single electron polarized spin interaction and control of nuclear spin qubits. The presented study fuses field of particle channeling in MeV energy regime with quantum state engineering utilized via entanglement as an essential quantum property. Its aim is to bring focus on new theoretical proposals testing the quantum mechanical models for systems producible at particle accelerator facilities.
C3  - EPJ Web of Conferences
T1  - Nuclear quantum state engineering in ion channeling regime
VL  - 95
DO  - 10.1051/epjconf/20159505002
ER  - 

@conference{
author = "Berec, Vesna I.",
year = "2015",
abstract = "A key challenge in quantum state engineering is to identify coherent quantum mechanical systems that can be precisely manipulated and scaled, but at the same time to allow decoupling from unwanted interactions. Such systems, once realized, would represent an efficient tool for characterization of quantum behavior reflected in the properties of matter with prerequisites for meeting dissipation constraints imposed in the nuclear physics as well in the quantum information theory. Using the pure(29)Si nanocrystal system we present a novel high resolution method for initialization of single electron polarized spin interaction and control of nuclear spin qubits. The presented study fuses field of particle channeling in MeV energy regime with quantum state engineering utilized via entanglement as an essential quantum property. Its aim is to bring focus on new theoretical proposals testing the quantum mechanical models for systems producible at particle accelerator facilities.",
journal = "EPJ Web of Conferences",
title = "Nuclear quantum state engineering in ion channeling regime",
volume = "95",
doi = "10.1051/epjconf/20159505002"
}

Berec, V. I.. (2015). Nuclear quantum state engineering in ion channeling regime. in EPJ Web of Conferences, 95.
https://doi.org/10.1051/epjconf/20159505002

Berec VI. Nuclear quantum state engineering in ion channeling regime. in EPJ Web of Conferences. 2015;95.
doi:10.1051/epjconf/20159505002 .

Berec, Vesna I., "Nuclear quantum state engineering in ion channeling regime" in EPJ Web of Conferences, 95 (2015),
https://doi.org/10.1051/epjconf/20159505002 . .

TY  - CONF
AU  - Berec, Vesna I.
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7077
AB  - Permanent system size decreasing trend of communication systems defined by Moores Law, by 2015 will imply the implementation of elements as memory units comparable to individual atoms and charge. Accordingly, the quantum effects at the subatomic level will have a decisive influence on the development of information technology. We investigate induction-generation of mutual quantum correlations entanglement, which implies accurate control, manipulation and transfer of quantum information qubits addressable for modeling and implementation in quantum channels and network systems. The proposed investigation employs the quantum communication protocol based on the transmission model of hyperchanneled protons and the Monte Carlo simulations of spin systems in silicon nanocrystals. The quantum electrodynamical nature of entanglement as an essential quantum property that establishes mutual predictable correlation of particles of energy/matter is investigated using the precisely guided proton beam through a Si-29 nanocrystal axial channel on a basis of screened Molieres interaction potential. Numerical solutions of equations of motion of protons correspond to hyperchanneled proton spatial and angular distributions in the phase space.
T1  - Proton Beam Induction of Quantum Correlations in Silicon Nanocrystal
SP  - 794
EP  - 796
UR  - https://hdl.handle.net/21.15107/rcub_vinar_7077
ER  - 

@conference{
author = "Berec, Vesna I.",
year = "2013",
abstract = "Permanent system size decreasing trend of communication systems defined by Moores Law, by 2015 will imply the implementation of elements as memory units comparable to individual atoms and charge. Accordingly, the quantum effects at the subatomic level will have a decisive influence on the development of information technology. We investigate induction-generation of mutual quantum correlations entanglement, which implies accurate control, manipulation and transfer of quantum information qubits addressable for modeling and implementation in quantum channels and network systems. The proposed investigation employs the quantum communication protocol based on the transmission model of hyperchanneled protons and the Monte Carlo simulations of spin systems in silicon nanocrystals. The quantum electrodynamical nature of entanglement as an essential quantum property that establishes mutual predictable correlation of particles of energy/matter is investigated using the precisely guided proton beam through a Si-29 nanocrystal axial channel on a basis of screened Molieres interaction potential. Numerical solutions of equations of motion of protons correspond to hyperchanneled proton spatial and angular distributions in the phase space.",
title = "Proton Beam Induction of Quantum Correlations in Silicon Nanocrystal",
pages = "794-796",
url = "https://hdl.handle.net/21.15107/rcub_vinar_7077"
}

Berec, V. I.. (2013). Proton Beam Induction of Quantum Correlations in Silicon Nanocrystal. , 794-796.
https://hdl.handle.net/21.15107/rcub_vinar_7077

Berec VI. Proton Beam Induction of Quantum Correlations in Silicon Nanocrystal. 2013;:794-796.
https://hdl.handle.net/21.15107/rcub_vinar_7077 .

Berec, Vesna I., "Proton Beam Induction of Quantum Correlations in Silicon Nanocrystal" (2013):794-796,
https://hdl.handle.net/21.15107/rcub_vinar_7077 .

TY  - JOUR
AU  - Petrović, Srđan M.
AU  - Nešković, Nebojša B.
AU  - Berec, Vesna I.
AU  - Ćosić, Marko
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4730
AB  - In this work we analyze the superfocusing of protons channeled in a LT 100 GT Si thin crystal using the theory of crystal rainbows. The initial proton energy is 68 MeV and the proton beam incident angle is increased gradually from zero up to 30% of the critical angle for proton channeling. The reduced crystal thickness is varied around 0.250, the corresponding crystal thickness being 481.8 nm. The spatial distributions of channeled protons, obtained by the numerical solution of the proton equations of motion in the transverse position plane and a Monte Carlo computer simulation code, are explored as functions of the beam incident angle and reduced crystal thickness. They are analyzed via the corresponding mappings of the impact parameter plane to the transverse position plane, which are characterized by the rainbow effect. The performed analysis shows that it is possible to focus the beam within the region of the radius considerably below the Bohr radius. The obtained results provide the theoretical basis for the possible development of a measurement technique with the picometer resolution-the rainbow subatomic microscopy.
T2  - Physical Review A
T1  - Superfocusing of channeled protons and subatomic measurement resolution
VL  - 85
IS  - 3
DO  - 10.1103/PhysRevA.85.032901
ER  - 

@article{
author = "Petrović, Srđan M. and Nešković, Nebojša B. and Berec, Vesna I. and Ćosić, Marko",
year = "2012",
abstract = "In this work we analyze the superfocusing of protons channeled in a LT 100 GT Si thin crystal using the theory of crystal rainbows. The initial proton energy is 68 MeV and the proton beam incident angle is increased gradually from zero up to 30% of the critical angle for proton channeling. The reduced crystal thickness is varied around 0.250, the corresponding crystal thickness being 481.8 nm. The spatial distributions of channeled protons, obtained by the numerical solution of the proton equations of motion in the transverse position plane and a Monte Carlo computer simulation code, are explored as functions of the beam incident angle and reduced crystal thickness. They are analyzed via the corresponding mappings of the impact parameter plane to the transverse position plane, which are characterized by the rainbow effect. The performed analysis shows that it is possible to focus the beam within the region of the radius considerably below the Bohr radius. The obtained results provide the theoretical basis for the possible development of a measurement technique with the picometer resolution-the rainbow subatomic microscopy.",
journal = "Physical Review A",
title = "Superfocusing of channeled protons and subatomic measurement resolution",
volume = "85",
number = "3",
doi = "10.1103/PhysRevA.85.032901"
}

Petrović, S. M., Nešković, N. B., Berec, V. I.,& Ćosić, M.. (2012). Superfocusing of channeled protons and subatomic measurement resolution. in Physical Review A, 85(3).
https://doi.org/10.1103/PhysRevA.85.032901

Petrović SM, Nešković NB, Berec VI, Ćosić M. Superfocusing of channeled protons and subatomic measurement resolution. in Physical Review A. 2012;85(3).
doi:10.1103/PhysRevA.85.032901 .

Petrović, Srđan M., Nešković, Nebojša B., Berec, Vesna I., Ćosić, Marko, "Superfocusing of channeled protons and subatomic measurement resolution" in Physical Review A, 85, no. 3 (2012),
https://doi.org/10.1103/PhysRevA.85.032901 . .

TY  - JOUR
AU  - Berec, Vesna I.
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5072
AB  - Selective coherence control and electrically mediated exchange coupling of single electron spin between triplet and singlet states using numerically derived optimal control of proton pulses is demonstrated. We obtained spatial confinement below size of the Bohr radius for proton spin chain FWHM. Precise manipulation of individual spins and polarization of electron spin states are analyzed via proton induced emission and controlled population of energy shells in pure Si-29 nanocrystal. Entangled quantum states of channeled proton trajectories are mapped in transverse and angular phase space of Si-29 LT 100 GT axial channel alignment in order to avoid transversal excitations. Proton density and proton energy as impact parameter functions are characterized in single particle density matrix via discretization of diagonal and nearest off-diagonal elements. We combined high field and low densities (1 MeV/92 nm) to create inseparable quantum state by superimposing the hyperpolarizationed proton spin chain with electron spin of Si-29. Quantum discretization of density of states (DOS) was performed by the Monte Carlo simulation method using numerical solutions of proton equations of motion. Distribution of gaussian coherent states is obtained by continuous modulation of individual spin phase and amplitude. Obtained results allow precise engineering and faithful mapping of spin states. This would provide the effective quantum key distribution (QKD) and transmission of quantum information over remote distances between quantum memory centers for scalable quantum communication network. Furthermore, obtained results give insights in application of channeled protons subatomic microscopy as a complete versatile scanning-probe system capable of both quantum engineering of charged particle states and characterization of quantum states below diffraction limit linear and in-depth resolution. PACS numbers: 03.65. Ud, 03.67. Bg, 61.85.+p, 67.30.hj
T2  - PLOS One
T1  - Quantum Entanglement and Spin Control in Silicon Nanocrystal
VL  - 7
IS  - 9
DO  - 10.1371/journal.pone.0045254
ER  - 

@article{
author = "Berec, Vesna I.",
year = "2012",
abstract = "Selective coherence control and electrically mediated exchange coupling of single electron spin between triplet and singlet states using numerically derived optimal control of proton pulses is demonstrated. We obtained spatial confinement below size of the Bohr radius for proton spin chain FWHM. Precise manipulation of individual spins and polarization of electron spin states are analyzed via proton induced emission and controlled population of energy shells in pure Si-29 nanocrystal. Entangled quantum states of channeled proton trajectories are mapped in transverse and angular phase space of Si-29 LT 100 GT axial channel alignment in order to avoid transversal excitations. Proton density and proton energy as impact parameter functions are characterized in single particle density matrix via discretization of diagonal and nearest off-diagonal elements. We combined high field and low densities (1 MeV/92 nm) to create inseparable quantum state by superimposing the hyperpolarizationed proton spin chain with electron spin of Si-29. Quantum discretization of density of states (DOS) was performed by the Monte Carlo simulation method using numerical solutions of proton equations of motion. Distribution of gaussian coherent states is obtained by continuous modulation of individual spin phase and amplitude. Obtained results allow precise engineering and faithful mapping of spin states. This would provide the effective quantum key distribution (QKD) and transmission of quantum information over remote distances between quantum memory centers for scalable quantum communication network. Furthermore, obtained results give insights in application of channeled protons subatomic microscopy as a complete versatile scanning-probe system capable of both quantum engineering of charged particle states and characterization of quantum states below diffraction limit linear and in-depth resolution. PACS numbers: 03.65. Ud, 03.67. Bg, 61.85.+p, 67.30.hj",
journal = "PLOS One",
title = "Quantum Entanglement and Spin Control in Silicon Nanocrystal",
volume = "7",
number = "9",
doi = "10.1371/journal.pone.0045254"
}

Berec, V. I.. (2012). Quantum Entanglement and Spin Control in Silicon Nanocrystal. in PLOS One, 7(9).
https://doi.org/10.1371/journal.pone.0045254

Berec VI. Quantum Entanglement and Spin Control in Silicon Nanocrystal. in PLOS One. 2012;7(9).
doi:10.1371/journal.pone.0045254 .

Berec, Vesna I., "Quantum Entanglement and Spin Control in Silicon Nanocrystal" in PLOS One, 7, no. 9 (2012),
https://doi.org/10.1371/journal.pone.0045254 . .