Quantum phase for an arbitrary system with finite-dimensional Hilbert space
Abstract
A representation of the phase observable in terms of a positive-operator-valued measure for an arbitrary quantum system with a finite Hilbert space is consistently defined. The phase for systems with rational relations between the energy eigenvalue differences is treated explicitly and the phase in the case of the irrational relations is obtained as a well-defined limit of the rational approximations.
Source:
Physical Review A, 2012, 85, 4Funding / projects:
- Modeling and Numerical Simulations of Complex Many-Body Systems (RS-MESTD-Basic Research (BR or ON)-171017)
- A new approach to foundational problems of quantum mechanics related to applications in quantum technologies and interpretations of signals of various origins (RS-MESTD-Basic Research (BR or ON)-171028)
- The nonlinear dynamics of localized selforganized structures in plasmas, nano-composite meterials, liquid and fotonic crystals, and ultracold condensates (RS-MESTD-Basic Research (BR or ON)-171006)
DOI: 10.1103/PhysRevA.85.044103
ISSN: 1050-2947
WoS: 000303234700008
Scopus: 2-s2.0-84860320825
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Institution/Community
VinčaTY - JOUR AU - Arsenović, Dušan AU - Buric, Nikola AU - Davidović, Dragomir AU - Prvanovic, Slobodan PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4815 AB - A representation of the phase observable in terms of a positive-operator-valued measure for an arbitrary quantum system with a finite Hilbert space is consistently defined. The phase for systems with rational relations between the energy eigenvalue differences is treated explicitly and the phase in the case of the irrational relations is obtained as a well-defined limit of the rational approximations. T2 - Physical Review A T1 - Quantum phase for an arbitrary system with finite-dimensional Hilbert space VL - 85 IS - 4 DO - 10.1103/PhysRevA.85.044103 ER -
@article{ author = "Arsenović, Dušan and Buric, Nikola and Davidović, Dragomir and Prvanovic, Slobodan", year = "2012", abstract = "A representation of the phase observable in terms of a positive-operator-valued measure for an arbitrary quantum system with a finite Hilbert space is consistently defined. The phase for systems with rational relations between the energy eigenvalue differences is treated explicitly and the phase in the case of the irrational relations is obtained as a well-defined limit of the rational approximations.", journal = "Physical Review A", title = "Quantum phase for an arbitrary system with finite-dimensional Hilbert space", volume = "85", number = "4", doi = "10.1103/PhysRevA.85.044103" }
Arsenović, D., Buric, N., Davidović, D.,& Prvanovic, S.. (2012). Quantum phase for an arbitrary system with finite-dimensional Hilbert space. in Physical Review A, 85(4). https://doi.org/10.1103/PhysRevA.85.044103
Arsenović D, Buric N, Davidović D, Prvanovic S. Quantum phase for an arbitrary system with finite-dimensional Hilbert space. in Physical Review A. 2012;85(4). doi:10.1103/PhysRevA.85.044103 .
Arsenović, Dušan, Buric, Nikola, Davidović, Dragomir, Prvanovic, Slobodan, "Quantum phase for an arbitrary system with finite-dimensional Hilbert space" in Physical Review A, 85, no. 4 (2012), https://doi.org/10.1103/PhysRevA.85.044103 . .