Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay

2019 ◽  
Vol 28 (9) ◽  
pp. 090302 ◽  
Author(s):  
Heng-Yun Lv ◽  
Ji-Suo Wang ◽  
Xiao-Yan Zhang ◽  
Meng-Yan Wu ◽  
Bao-Long Liang ◽  
...  
Keyword(s):  
Wigner Function ◽  
Density Operator ◽  
Negative Binomial ◽  
Binomial State

SOME FEATURES OF SQUEEZED NEGATIVE BINOMIAL STATE

1992 ◽  
Vol 06 (03n04) ◽  
pp. 409-415 ◽  
Author(s):  
AMITABH JOSHI ◽  
S. V. LAWANDE
Keyword(s):  
Electromagnetic Field ◽  
Density Matrix ◽  
Wigner Function ◽  
Negative Binomial ◽  
Thermal State ◽  
Photon Number ◽  
Binomial State ◽  
Relationship Of ◽  
The Relationship ◽  
Photon Number Distribution

Properties of electromagnetic field in the squeezed negative binomial state are investigated in terms of photon number distribution and Wigner function. The relationship of the density matrix of the squeezed negative binomial state to the density matrix of the squeezed thermal state is shown explicitly. The possibility of generation of the negative binomial state is also discussed.

CLASSICAL INFORMATION ENTROPY AND WIGNER FUNCTION EVOLUTION OF RANDOM PHASE NEGATIVE BINOMIAL OPTICAL FIELDS IN THERMAL CHANNEL

2011 ◽  
Vol 25 (19) ◽  
pp. 1651-1659
Author(s):  
SHAN-HAI MEI ◽  
SHANG-BIN LI
Keyword(s):  
Wigner Function ◽  
Information Entropy ◽  
Negative Binomial ◽  
Thermal Environment ◽  
Random Phase ◽  
Optical Fields ◽  
Classical Information

The Wehrl classical information entropy of random phase negative binomial states (RPNBS) is investigated, and their Wigner function evolution in the thermal environment is also discussed. It is shown that the evolution of the RPNBS in the thermal channel can be roughly regarded as the shift of the parameters ε and α0 of the RPNBS.

Statistical properties of the nonlinear negative binomial state

2007 ◽  
Vol 274 (2) ◽  
pp. 372-383 ◽  
Author(s):  
M. Sebawe Abdalla ◽  
A.-S.F. Obada ◽  
M. Darwish
Keyword(s):  
Negative Binomial ◽  
Statistical Properties ◽  
Binomial State

Evolution of the number state in laser process

2015 ◽  
Vol 29 (19) ◽  
pp. 1550139
Author(s):  
Fuyi You ◽  
Junhua Chen ◽  
Hongyi Fan ◽  
Wenhui Jiang
Keyword(s):  
Wigner Function ◽  
Density Operator ◽  
Jacobi Polynomials ◽  
Photon Number ◽  
Laser Process ◽  
Number State ◽  
Degree Of Coherence ◽  
The Mean ◽  
Analytic Expression ◽  
Second Degree

We investigate systematically the evolution of the number state in a laser process by deriving the analytic expression of the density operator and putting it into a normal ordered form. The eigenvalue of the density operator is related to Jacobi polynomials. Then we derive the expression for the mean photon number, the second degree of coherence, the entropy, Wigner function and the photoncount distribution. The nonclassicality is discussed by virtue of the negativity of Wigner function. It is found that the Wigner function is always negative for t < t0, which is independent on the parameter m. On the other hand, the condition for the second degree of coherence larger than 1 is dependent on the parameter m.

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.

Two-Parameter Correlated Negative Binomial State in Two-Mode Fock Space

1998 ◽  
Vol 15 (7) ◽  
pp. 469-471 ◽  
Author(s):  
Hong-yi Fan ◽  
Xiao-yin Pan ◽  
Bo-zhan Chen
Keyword(s):  
Negative Binomial ◽  
Fock Space ◽  
Binomial State ◽  
Two Parameter
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