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The Wigner Function and the Husimi Function of the One- and Two-Mode Combination Squeezed State

Qin Guo

International Journal of Theoretical PhysicsJun 5, 20075 citations

New optical field and its Wigner function obtained by partial tracing over one- and two-mode combinatorial squeezed state

Wang Tong-Tong, Hong-Yi Fan

Optics CommunicationsJul 14, 20161 citation

Wigner Function of a Special Type of Squeezed Coherent State

Jun Song, Hong-Yi Fan

International Journal of Theoretical PhysicsAug 1, 20114 citations

Wigner Distribution Function and Husimi Function of a Kind of Squeezed Coherent State

Fan Hong‐Yi, Liu Shu-Guang

We find a new κ-parameter squeezed coherent state | p , q ⟩ κ representation, which possesses well-behaved features, i.e., its Wigner function's marginal distribution in the `` q -direction'' and in the `` p -direction'' is the Gaussian form exp {−κ( q '− q ) 2 }, and exp {( p '− p ) 2 /κ}, respectively. Based on this, the Husimi function of | p , q ⟩ κ is also obtained, which is a Gaussian broaden version of the Wigner function. The | p , q ⟩ κ state provides a good representative space for studying various properties of the Husimi operator.We find a new κ-parameter squeezed coherent state | p , q ⟩ κ representation, which possesses well-behaved features, i.e., its Wigner function's marginal distribution in the `` q -direction'' and in the `` p -direction'' is the Gaussian form exp {−κ( q '− q ) 2 }, and exp {( p '− p ) 2 /κ}, respectively. Based on this, the Husimi function of | p , q ⟩ κ is also obtained, which is a Gaussian broaden version of the Wigner function. The | p , q ⟩ κ state provides a good representative space for studying various properties of the Husimi operator.

Communications in Theoretical PhysicsMar 1, 200712 citations

Wigner functions and statistical moments of quantum states with definite parity

V. V. Dodonov

Physics Letters ADec 19, 200619 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.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 SinicaJan 1, 20150 citations

Quantum State Generated by Parity-Squeezing Combinatorial Operator and Its Wigner Function and Husimi Function

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