scholarly journals Complexity of quantum motion and quantum-classical correspondence: A phase-space approach

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Jiaozi Wang ◽  
Giuliano Benenti ◽  
Giulio Casati ◽  
Wen-ge Wang
Keyword(s):  
Phase Space ◽  
Classical Correspondence ◽  
Quantum Motion ◽  
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.

PHASE SPACE APPROACH TO NUCLEAR DYNAMICS

1986 ◽  
Author(s):  
M. Di Toro ◽  
W. Nörenberg ◽  
M. Rosina ◽  
S. Stringari
Keyword(s):  
Phase Space ◽  
Nuclear Dynamics ◽  
Space Approach

Complexity and 1/f noise. A phase space approach

1991 ◽  
Vol 1 (7) ◽  
pp. 971-977 ◽  
Author(s):  
Yi-Cheng Zhang
Keyword(s):  
Phase Space ◽  
Space Approach

Phase-Space Approach to Berry Phases

2006 ◽  
Vol 13 (01) ◽  
pp. 67-74 ◽  
Author(s):  
Dariusz Chruściński
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Wigner Function ◽  
Berry Phase ◽  
Space Formulation ◽  
Berry Phases ◽  
Classical Phase Space ◽  
New Formula ◽  
Space Approach

We propose a new formula for the adiabatic Berry phase which is based on phase-space formulation of quantum mechanics. This approach sheds a new light onto the correspondence between classical and quantum adiabatic phases — both phases are related with the averaging procedure: Hannay angle with averaging over the classical torus and Berry phase with averaging over the entire classical phase space with respect to the corresponding Wigner function.

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