TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Stojanović Krasić, Marija
AU  - Johansson, M.
AU  - Salinas, I.A.
AU  - Vicencio, R.A.
AU  - Stepić, Milutin
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11850
AB  - Flat-band (FB) photonic lattices are attracting substantial attention of researchers
since they provide an excellent platform for studying various fundamental physical
phenomena difficult to achieve in the condensed matter systems. In that regard,
some of those phenomena demonstrated in the last two decade are discrete solitons,
dynamical localization and Anderson localization in disordered lattices [1]. One of
the advantages of photonic lattices is that they are easy to manipulate with. Maybe
the most important property of FBs is that they can host a complete set of compact
localized states (CLS), highly robust to environmental noise.
Here, we investigate the CLS in two-dimensional (2D) dice lattice dressed by artificial flux in the presence of nonlinearity. Due to the Aharonov-Bohm (AB) caging
effect, this lattice can host a fully FB spectrum [2]. The FB eigenmodes are compact
snowflake-like structures shared by a few unit cells [3]. The goal is to find suitable
conditions for selecting the localized states with user-friendly characteristics. We
do this by testing the dynamics of those snowflake-like CLS in the linear and nonlinear regime. We have found two types of dynamics of compact structures, one,
the snowflake-like, robust in both linear and nonlinear regime, and the other one,
breathing complexes, robust only in the presence of weak nonlinearity
C3  - BPU11 : 11th International Conference of the Balkan Physical Union
T1  - Compact localized modes in Dice lattice dressed by artificial flux
VL  - 427
SP  - 146
EP  - 146
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11850
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Stojanović Krasić, Marija and Johansson, M. and Salinas, I.A. and Vicencio, R.A. and Stepić, Milutin",
year = "2022",
abstract = "Flat-band (FB) photonic lattices are attracting substantial attention of researchers
since they provide an excellent platform for studying various fundamental physical
phenomena difficult to achieve in the condensed matter systems. In that regard,
some of those phenomena demonstrated in the last two decade are discrete solitons,
dynamical localization and Anderson localization in disordered lattices [1]. One of
the advantages of photonic lattices is that they are easy to manipulate with. Maybe
the most important property of FBs is that they can host a complete set of compact
localized states (CLS), highly robust to environmental noise.
Here, we investigate the CLS in two-dimensional (2D) dice lattice dressed by artificial flux in the presence of nonlinearity. Due to the Aharonov-Bohm (AB) caging
effect, this lattice can host a fully FB spectrum [2]. The FB eigenmodes are compact
snowflake-like structures shared by a few unit cells [3]. The goal is to find suitable
conditions for selecting the localized states with user-friendly characteristics. We
do this by testing the dynamics of those snowflake-like CLS in the linear and nonlinear regime. We have found two types of dynamics of compact structures, one,
the snowflake-like, robust in both linear and nonlinear regime, and the other one,
breathing complexes, robust only in the presence of weak nonlinearity",
journal = "BPU11 : 11th International Conference of the Balkan Physical Union",
title = "Compact localized modes in Dice lattice dressed by artificial flux",
volume = "427",
pages = "146-146",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11850"
}

Stojanović, M. G., Stojanović Krasić, M., Johansson, M., Salinas, I.A., Vicencio, R.A.,& Stepić, M.. (2022). Compact localized modes in Dice lattice dressed by artificial flux. in BPU11 : 11th International Conference of the Balkan Physical Union, 427, 146-146.
https://hdl.handle.net/21.15107/rcub_vinar_11850

Stojanović MG, Stojanović Krasić M, Johansson M, Salinas I, Vicencio R, Stepić M. Compact localized modes in Dice lattice dressed by artificial flux. in BPU11 : 11th International Conference of the Balkan Physical Union. 2022;427:146-146.
https://hdl.handle.net/21.15107/rcub_vinar_11850 .

Stojanović, Mirjana G., Stojanović Krasić, Marija, Johansson, M., Salinas, I.A., Vicencio, R.A., Stepić, Milutin, "Compact localized modes in Dice lattice dressed by artificial flux" in BPU11 : 11th International Conference of the Balkan Physical Union, 427 (2022):146-146,
https://hdl.handle.net/21.15107/rcub_vinar_11850 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Stojanović Krasić, Marija
AU  - Johansson, M.
AU  - Salinas, I.A.
AU  - Vicencio, R.A.
AU  - Stepić, Milutin
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11849
AB  - Two-dimensional octagonal-diamond (OD) atomic lattices have been explored in recent times to study phenomena related to topological phase transitions induced by spin-orbit interaction and gauge fields [1], and magnetic phases and metal-insulator transitions with Hubbard interaction [2, 3]. It can lead to the appearance of nontrivial nearly flat band states with particular topological properties [4]. Here we study the octagonal-diamond photonic lattice formed of linearly coupled waveguides, proposed by [4] as a possible experimental realization of an artificial flat-band system. We investigated analytically and numerically the existence and stability of linear and nonlinear localized modes in a two-dimensional OD lattice. The primitive cell consists of four sites, linearly coupled with each other with the same coupling constant, including two diagonal couplings. The eigenvalue spectrum of the linear lattice consists of two flat bands and two dispersive bands [4]. The upper dispersive band intersects the upper flat band in the middle of the Brillouin zone, as well as the second flat band at the end of the Brillouin zone. In the linear case, there are two types of localized linear solutions, which are composed of eight sites each, having either monomer (+ - + - + - + -) or dimer (+ + - - + + - -) staggered phase structure [4]. In the presence of Kerr nonlinearity, both focusing and defocusing, compacton-like solutions [5] may exhibit instabilities due to intersections of the upper dispersive band and the flat bands. We also discuss the possibility of finding soliton solutions in the frequency gaps occurring between the flat bands and the isolated dispersive bands.
PB  - Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade
C3  - PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts
T1  - Localized modes in two-dimensional octagonal-diamond lattices
SP  - 93
EP  - 93
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11849
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Stojanović Krasić, Marija and Johansson, M. and Salinas, I.A. and Vicencio, R.A. and Stepić, Milutin",
year = "2019",
abstract = "Two-dimensional octagonal-diamond (OD) atomic lattices have been explored in recent times to study phenomena related to topological phase transitions induced by spin-orbit interaction and gauge fields [1], and magnetic phases and metal-insulator transitions with Hubbard interaction [2, 3]. It can lead to the appearance of nontrivial nearly flat band states with particular topological properties [4]. Here we study the octagonal-diamond photonic lattice formed of linearly coupled waveguides, proposed by [4] as a possible experimental realization of an artificial flat-band system. We investigated analytically and numerically the existence and stability of linear and nonlinear localized modes in a two-dimensional OD lattice. The primitive cell consists of four sites, linearly coupled with each other with the same coupling constant, including two diagonal couplings. The eigenvalue spectrum of the linear lattice consists of two flat bands and two dispersive bands [4]. The upper dispersive band intersects the upper flat band in the middle of the Brillouin zone, as well as the second flat band at the end of the Brillouin zone. In the linear case, there are two types of localized linear solutions, which are composed of eight sites each, having either monomer (+ - + - + - + -) or dimer (+ + - - + + - -) staggered phase structure [4]. In the presence of Kerr nonlinearity, both focusing and defocusing, compacton-like solutions [5] may exhibit instabilities due to intersections of the upper dispersive band and the flat bands. We also discuss the possibility of finding soliton solutions in the frequency gaps occurring between the flat bands and the isolated dispersive bands.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade",
journal = "PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts",
title = "Localized modes in two-dimensional octagonal-diamond lattices",
pages = "93-93",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11849"
}

Stojanović, M. G., Stojanović Krasić, M., Johansson, M., Salinas, I.A., Vicencio, R.A.,& Stepić, M.. (2019). Localized modes in two-dimensional octagonal-diamond lattices. in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts
Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade., 93-93.
https://hdl.handle.net/21.15107/rcub_vinar_11849

Stojanović MG, Stojanović Krasić M, Johansson M, Salinas I, Vicencio R, Stepić M. Localized modes in two-dimensional octagonal-diamond lattices. in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts. 2019;:93-93.
https://hdl.handle.net/21.15107/rcub_vinar_11849 .

Stojanović, Mirjana G., Stojanović Krasić, Marija, Johansson, M., Salinas, I.A., Vicencio, R.A., Stepić, Milutin, "Localized modes in two-dimensional octagonal-diamond lattices" in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts (2019):93-93,
https://hdl.handle.net/21.15107/rcub_vinar_11849 .