Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Theoretical Physics

Thermal Wigner Operator in Coherent Thermal State Representation and Its Application

Fan Hong‐Yi

Published Mar 15, 2002• 4 citations
Publisher

Abstract

In the coherent thermal state representation we introduce thermal Wigner operator and find that it is "squeezed" under the thermal transformation. The thermal Wigner operator provides us with a new direct and neat approach for deriving Wigner functions of thermal states.
DOI
10.1088/0253-6102/37/3/289

Related papers

Thermal Wigner Operator in Coherent Thermal State Representation and Its Application

FANHong-Yi

In the coherent thermal state representation we introduce thermal Wigner operator and find that it issqueezed under the thermal transformation. The thermal Wigner operator provides us with a new direct and neatapproach for deriving Wigner functions of thermal states.

理论物理通讯:英文版•Jan 1, 2002•0 citations

The Applications of Coherent State Representation on the Distribution Functions of the Quantum Phase Space

Shuai Wang

By means of the coherent state representation and the IWOP technique,the density matrix of free thermal state can be written as normal product form.And then the Wigner function of free thermal state and the thermal coherent state are reproduced by using the wigner function in coherent state representation.It is found that it is easy to obtain the Wigner function of some quantum states by using the Wigner function defined in terms of the coherent state and the normal product form of operators.

Acta Sinica Quantum Optica•Jan 1, 2009•0 citations

Thermo Wigner operator in thermo field dynamics: its introduction and application

Hong-Yi Fan, Nian-Quan Jiang

Because in thermo-field dynamics (TFD) the thermo-operator has a neat expression in the thermo-entangled state representation, we need to introduce the thermo-Wigner operator (THWO) in the same representation. We derive the THWO in a direct way, which brings much conveniece to calculating the Wigner functions of thermo states in TFD. We also discuss the condition for existence of a wavefunction corresponding to a given Wigner function in the context of TFD by using the explicit form of the THWO.

Physica Scripta•Oct 1, 2008•7 citations

Wigner function and density operator of the photon-subtracted squeezed thermal state

Liyun Hu, Fan Hong‐Yi

By using the technique of integration within an ordered product of operators, the normal ordered density operator of the photon-subtracted squeezed thermal state (PSSTS) is derived. Then the corresponding Wigner function is presented by using the coherent state representation of the Wigner operator. The nonclassical properties of the PSSTS are discussed based on the negativity of the Wigner function.

Chinese Physics B•Nov 1, 2009•30 citations

Transform relations between squeezed coherent state representation and quantum phase space distribution functions

Liang Xiu-Dong, Tai Yun-Jiao, Cheng Jian-Min +2 more

A new operator representation, called squeezed coherent state representation, is introduced since Husimi operator has the form of squeezed coherent state. We fisrt introduce its specific integral expression. When κ = 1, this representation is reduced to the usual P function. As an example, we calculate the squeezed coherent state representation for thermal field to illustrate a difference between P function and the squeezed coherent state representation. Especially, in order to better apply this representation to quantum optics, we reveal the integral transformations between the squeezed coherent state representation, respectively, and the following three functions: Wigner function, Q function, and Husimi function.

Acta Physica Sinica•Jan 1, 2015•0 citations

Wigner Function of Thermo-Invariant Coherent State

Xuefen Xu, Zhu Shi-Qun

By using the thermal Winger operator of thermo-field dynamics in the coherent thermal state |ξ) representation and the technique of integration within an ordered product of operators, the Wigner function of the thermo-invariant coherent state |z,ℵ〉 is derived. The nonclassical properties of state |z,ℵ〉 is discussed based on the negativity of the Wigner function.

Chinese Physics Letters•Jul 29, 2008•9 citations
A new operator representation, called squeezed coherent state representation, is introduced since Husimi operator has the form of squeezed coherent state. We fisrt introduce its specific integral expression. When κ = 1, this representation is reduced to the usual P function. As an example, we calculate the squeezed coherent state representation for thermal field to illustrate a difference between P function and the squeezed coherent state representation. Especially, in order to better apply this representation to quantum optics, we reveal the integral transformations between the squeezed coherent state representation, respectively, and the following three functions: Wigner function, Q function, and Husimi function.