Wigner distribution function of a simple optical system: An extended-phase-space approach

1992 ◽  
Vol 45 (1) ◽  
pp. 520-523 ◽  
Author(s):  
Sumiyoshi Abe ◽  
Norikazu Suzuki
Keyword(s):  
Distribution Function ◽  
Phase Space ◽  
Optical System ◽  
Wigner Distribution ◽  
Extended Phase Space ◽  
Wigner Distribution Function ◽  
Extended Phase ◽  
Space Approach

scholarly journals Phase-space studies of backscattering diffraction of defective Schrödinger cat states

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Damian Kołaczek ◽  
Bartłomiej J. Spisak ◽  
Maciej Wołoszyn
Keyword(s):  
Phase Space ◽  
Dispersive Medium ◽  
Wigner Distribution ◽  
Interference Term ◽  
Wigner Distribution Function ◽  
The Subject ◽  
Schrödinger Cat ◽  
Cat States ◽  
Schrodinger Cat State ◽  
Space Approach

AbstractThe coherent superposition of two well separated Gaussian wavepackets, with defects caused by their imperfect preparation, is considered within the phase-space approach based on the Wigner distribution function. This generic state is called the defective Schrödinger cat state due to this imperfection which significantly modifies the interference term. Propagation of this state in the phase space is described by the Moyal equation which is solved for the case of a dispersive medium with a Gaussian barrier in the above-barrier reflection regime. Formally, this regime constitutes conditions for backscattering diffraction phenomena. Dynamical quantumness and the degree of localization in the phase space of the considered state as a function of its imperfection are the subject of the performed analysis. The obtained results allow concluding that backscattering communication based on the defective Schrödinger cat states appears to be feasible with existing experimental capabilities.

FINITE SYSTEMS ON PHASE SPACE

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1956-1967 ◽  
Author(s):  
KURT BERNARDO WOLF
Keyword(s):  
Distribution Function ◽  
Phase Space ◽  
Hamiltonian Systems ◽  
Wigner Distribution ◽  
Wigner Distribution Function ◽  
Finite Fourier Transform ◽  
One Dimensional ◽  
Finite Systems ◽  
The One ◽  
Definition Of

This contribution summarizes work on finite, non-cyclic Hamiltonian systems —in particular the one-dimensional finite oscillator—, in conjunction with a Lie algebraic definition of the (meta-) phase space of finite systems, and a corresponding Wigner distribution function for the state vectors. The consistency of this approach is important for the strategy of fractionalization of a finite Fourier transform, and the contraction of finite unitary to continuous symplectic transformations of Hamiltonian systems.

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