2023/01/19 by N. Fabre, Fabre, N., A. B. Klimov +5
Physics and Astronomy · #FOS: Physical sciences #Laser-Matter Interactions and Applications #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2301.08127
openalex publication_date 2023/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
Despite the indisputable merits of the Wigner phase-space formulation, it has not been widely explored for systems with SU(1,1) symmetry, as a simple operational definition of the Wigner function has proved elusive in this case. We capitalize on the unique properties of the parity operator, to derive in a consistent way a bona fide SU(1,1) Wigner function that faithfully parallels the structure of its continuous-variable counterpart. We propose an optical scheme, involving a squeezer and photon-number-resolving detectors, that allows for direct point-by-point sampling of that Wigner function. This provides an adequate framework to represent SU(1,1) states satisfactorily.