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Chinese Physics Letters

Wigner Function of Thermo-Invariant Coherent State

Xuefen Xu, Zhu Shi-Qun

Published Jul 29, 2008• 9 citations
Publisher

Abstract

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.

DOI
10.1088/0256-307x/25/8/008

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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.
This paper constructs a new type of finite-dimensional thermal coherent states (FDTCS), which differs from the proceeding thermal coherent state in construction, as realisations of SU(2) Lie algebra. Using the technique of integration within an ordered product of operator, it investigates the orthonormality and completeness relation of the FDTCS. Based on the thermal Wigner operator in the thermal entangled state representation, the Wigner function of the FDTCS is obtained. The nonclassical properties of the FDTCS are discussed in terms of the negativity of its Wigner function.