Wigner Function, Husimi Function and Tomogram of Atomic Coherent State as Energy Eigenstate of Two Coupled Oscillators

2011 ◽  
Vol 50 (5) ◽  
pp. 1643-1655
Author(s):  
Xue-Xiang Xu
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Coupled Oscillators ◽  
Husimi Function

Wigner function for the generalized excited pair coherent state

2008 ◽  
Vol 17 (5) ◽  
pp. 1791-1797 ◽  
Author(s):  
Meng Xiang-Guo ◽  
Wang Ji-Suo ◽  
Liang Bao-Long ◽  
Li Hong-Qi
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Pair Coherent State

WIGNER FUNCTION EVOLUTION OF EXCITED EVEN AND ODD COHERENT STATE IN THERMAL ENVIRONMENT VIA THERMO ENTANGLED APPROACH

2013 ◽  
Vol 27 (23) ◽  
pp. 1350120 ◽  
Author(s):  
HONG-CHUN YUAN ◽  
YE-JUN XU ◽  
LEI CHEN ◽  
XUE-FEN XU
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Decay Time ◽  
Arbitrary Number ◽  
Coherent States ◽  
Density Operator ◽  
Thermal Environment ◽  
New Approach ◽  
Non Gaussian ◽  
Analytical Expressions

We adopt a new approach, thermo entangled representation, to study time evolution of density operator in thermal environment. We then investigate the analytical expressions of Wigner function (WF) evolution of arbitrary number excited coherent states (ECSs) and excited even (odd) coherent states (EECSs, EOCSs) in thermal environment, respectively. In addition, their nonclassicality is numerically discussed by exploring the negativity of WF with decay time in thermal channel, respectively. It is found that WF loses its non-Gaussian nature and becomes Gaussian after long times.

scholarly journals Detecting Nonclassicality and Non-gaussianity by the Wigner Function and Quantum Teleportation in Photon-added-and-subtracted Two Modes Pair Coherent State

2021 ◽  
Author(s):  
Minh Duc Truong ◽  
Chuong Sy Ho ◽  
Dat Quang Tran
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Phase Difference ◽  
Quantum Teleportation ◽  
Entangled State ◽  
Pair Coherent State ◽  
Non Gaussian ◽  
Degree Of Entanglement

Abstract We introduce a new state called photon-added-and-subtracted two modes pair coherent state (PAASTMPCS) by simultaneously adding and subtracting photons to the different modes of a pair coherent state. Its nonclassical and non-Gaussian properties are strengthened via the negative values of its Wigner function as the numbers of adding and subtracting photons are increased. It indicates that the PAASTMPCS is an entangled state. When increasing the numbers of photon-added and photon-subtracted to a pair coherent state, the degree of entanglement in the PAASTMPCS is enhanced compared with the original pair coherent state. By using a PAASTMPCS as a non-Gaussian entangled resource, the quantum teleportation processes are studied in detail. It is shown that the number sum and phase difference measurements protocol is more appropriate than the orthogonal quadrature components measurements protocol in the quantum teleportation process of a coherent state.

Photon-catalyzed optical coherent states generated via a non-degenerate parametric amplifier with quantum-optical catalysis

2020 ◽  
Vol 98 (2) ◽  
pp. 119-124 ◽  
Author(s):  
Hong-Chun Yuan ◽  
Xue-Xiang Xu ◽  
Heng-Mei Li ◽  
Ye-Jun Xu ◽  
Xiang-Guo Meng
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Coherent States ◽  
Laguerre Polynomial ◽  
Photon Number ◽  
Parametric Amplifier ◽  
Normalization Factor ◽  
Nonclassical Properties ◽  
Quadrature Squeezing ◽  
Quantum Optical

We theoretically generate a kind of photon-catalyzed optical coherent states (PCOCSs) by heralded interference between any photons and coherent state via a non-degenerate parametric amplifier, which is also just a Laguerre polynomial excited coherent state. Based on obtaining the probability of successfully detecting them (also the normalization factor), the nonclassical properties of the PCOCSs are analytically investigated according to autocorrelation function, quadrature squeezing, and the negativity of the Wigner function. It is found that the nonclassicality depends on the amplitude of the coherent state, the catalysis photon number, and amplifier parameter. The negative volume of their Wigner function can be enlarged by increasing the catalysis photon number. These parameters may be effectively used to improve and enhance the nonclassical characteristics.

Wigner function of an arbitrary-photon-catalyzed optical coherent state

Optik ◽  
2014 ◽  
Vol 125 (15) ◽  
pp. 4146-4149 ◽  
Author(s):  
Xue-xiang Xu ◽  
Yan Wang
Keyword(s):  
Coherent State ◽  
Wigner Function
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