scholarly journals Explicit solution of the time evolution of the Wigner function

2003 ◽  
Vol 5 (3) ◽  
pp. S420-S428 ◽  
Author(s):  
Cheuk-Yin Wong
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Explicit Solution

Time Evolution of Wigner Function in Diffusion Channel

2014 ◽  
Vol 54 (4) ◽  
pp. 1225-1232 ◽  
Author(s):  
Jian Ming Du ◽  
Rui He ◽  
Gang Ren ◽  
Hai-Jun Yu
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Diffusion Channel

SOLVING THE MASTER EQUATION FOR AN ATTENUATED OR AMPLIFIED NONLINEAR OSCILLATOR VIA A SUPEROPERATOR METHOD

2002 ◽  
Vol 16 (15n16) ◽  
pp. 595-600 ◽  
Author(s):  
HUAI-XIN LU ◽  
ZENG-BING CHEN ◽  
YONG-DE ZHANG
Keyword(s):  
Master Equation ◽  
Time Evolution ◽  
Explicit Solution ◽  
Density Operator ◽  
Nonlinear Oscillator ◽  
Initial State

Using the decomposition theorm of superoperators, an explicit solution of the master equation for an attenuated or amplified nonlinear oscillator is presented. It is found that the time evolution of the density operator can be easily obtained from an arbitary initial state using this method.

TIME EVOLUTION OF THE NONCLASSICALITY FOR THE FOCK STATES AND THEIR SUPERPOSITION STATES BY THE WIGNER FUNCTION

2011 ◽  
Vol 25 (16) ◽  
pp. 1401-1415 ◽  
Author(s):  
KUN SI ◽  
NING-LI ZHU ◽  
HUAN-YU JIA
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Gain Coefficient ◽  
Wigner Functions ◽  
Fock States ◽  
Negative Region ◽  
Cavity Radiation ◽  
Superposition States

The Wigner functions of the Fock states and their superposition states have negative value clearly. We focus on discussing the time evolution of the Fock states and their superposition states by the Wigner function under the coherent drive (pumping laser) and dissipation channels (cavity radiation). The results show that the negative region of their Wigner function gradually diminishes as the time kt or the gain coefficient g increasing. In addition, the disappearing time is related to the value of g - k. The loss of non-classical features becomes slower when g increases with the k > g; there is the "frozen zone" when k = g; then the loss of non-classical features becomes faster when g increases with k < g.

Time evolution of the Wigner function

1983 ◽  
Vol 24 (5) ◽  
pp. 1104-1109 ◽  
Author(s):  
Francisco Soto‐Eguibar ◽  
Pierre Claverie
Keyword(s):  
Time Evolution ◽  
Wigner Function
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