Quantum phase for a system with an arbitrary discrete energy spectrum
Abstract
Positive operator valued measures representing phase observables for systems with arbitrary discrete, possibly degenerate, spectra are constructed. The general construction is presented and discussed using illustrative examples. The phase POVM shows intricate discontinuous dependence on the eigenfrequencies. Special discussion is devoted to the systems with degenerate energy spectrum, in which case the phase observable is nonunique. We present arguments that can be used to reduces this nonuniqueness.
Source:
Physical Review A, 2013, 88, 2Funding / 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.88.022117
ISSN: 1050-2947
WoS: 000323327300004
Scopus: 2-s2.0-84884889592
Collections
Institution/Community
VinčaTY - JOUR AU - Arsenović, Dušan AU - Buric, Nikola AU - Davidović, Dragomir AU - Prvanovic, Slobodan PY - 2013 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5633 AB - Positive operator valued measures representing phase observables for systems with arbitrary discrete, possibly degenerate, spectra are constructed. The general construction is presented and discussed using illustrative examples. The phase POVM shows intricate discontinuous dependence on the eigenfrequencies. Special discussion is devoted to the systems with degenerate energy spectrum, in which case the phase observable is nonunique. We present arguments that can be used to reduces this nonuniqueness. T2 - Physical Review A T1 - Quantum phase for a system with an arbitrary discrete energy spectrum VL - 88 IS - 2 DO - 10.1103/PhysRevA.88.022117 ER -
@article{ author = "Arsenović, Dušan and Buric, Nikola and Davidović, Dragomir and Prvanovic, Slobodan", year = "2013", abstract = "Positive operator valued measures representing phase observables for systems with arbitrary discrete, possibly degenerate, spectra are constructed. The general construction is presented and discussed using illustrative examples. The phase POVM shows intricate discontinuous dependence on the eigenfrequencies. Special discussion is devoted to the systems with degenerate energy spectrum, in which case the phase observable is nonunique. We present arguments that can be used to reduces this nonuniqueness.", journal = "Physical Review A", title = "Quantum phase for a system with an arbitrary discrete energy spectrum", volume = "88", number = "2", doi = "10.1103/PhysRevA.88.022117" }
Arsenović, D., Buric, N., Davidović, D.,& Prvanovic, S.. (2013). Quantum phase for a system with an arbitrary discrete energy spectrum. in Physical Review A, 88(2). https://doi.org/10.1103/PhysRevA.88.022117
Arsenović D, Buric N, Davidović D, Prvanovic S. Quantum phase for a system with an arbitrary discrete energy spectrum. in Physical Review A. 2013;88(2). doi:10.1103/PhysRevA.88.022117 .
Arsenović, Dušan, Buric, Nikola, Davidović, Dragomir, Prvanovic, Slobodan, "Quantum phase for a system with an arbitrary discrete energy spectrum" in Physical Review A, 88, no. 2 (2013), https://doi.org/10.1103/PhysRevA.88.022117 . .