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

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

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.

Nonclassicality revival of photon-added displaced thermal states in the amplitude decay channel

2020 ◽  
Vol 98 (5) ◽  
pp. 458-463 ◽  
Author(s):  
Ran Zhang ◽  
Xiang-Guo Meng ◽  
Jian-Meng Sun ◽  
Ji-Suo Wang
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Thermal State ◽  
Decay Channel ◽  
Product Representation ◽  
Normal Product ◽  
Decoherence Rate ◽  
Thermal States

In this paper, the decoherence features of the photon-added displaced thermal state (PADTS) in the amplitude decay channel were studied by analytically and numerically investigating the time evolution of the Wigner function. The normal product representation of density for the PADTS is presented. The results indicate that the nonclassicality of PADTS can revive after disappearing with time. This kind of revival can maintain for a period of time and inevitably disappear eventually. However, we find that the operation of adding photons has the effect of reducing the decoherence rate of PADTS in the amplitude decay channel, although it also can decrease the PADTS’s nonclassicality markedly.

Sign in / Sign up

Export Citation Format

Share Document