aqora

The P -representation on Nonlinear Coherent State Basis

Fan Hong‐Yi, Cheng Hai-Ling

Using the technique of integration within an ordered product of nonlinear Bose operators and by composing the nonlinear coherent state's over-completeness relation, we construct the corresponding P -representation theory. The generalized P -representation for some nonlinear Bose operators can be established.

Communications in Theoretical PhysicsJun 15, 20027 citations

Nonlinear coherent state representation and related generalized Wigner function

Hong-Yi Fan, Hailing Cheng

The generalized Wigner operator and Wigner distribution function in phase space corresponding to the field-intensity-dependent operators is constructed in the nonlinear coherent state representation. The generalized Wigner theorem is also derived. The whole discussion is based on the technique of integration within an ordered product of the field-intensity-dependent operators.

Journal of Optics B Quantum and Semiclassical OpticsNov 23, 200112 citations

Differential-Form Relations Between Density Operators and Their P -Representations in Coherent State Basis

Hong-Yi Fan, Zhongxi Zhang

By virtue of the technique of integration within an ordered product of operators, we derive differential-form relations between density operators and their P -representations in the coherent state basis. Some applications of these new relations in normally ordering operators are given.

Communications in Theoretical PhysicsApr 30, 19960 citations

-representation, positive -representation, and antinormally ordering expansion of density matrices in nonlinear coherent states

Hong-Yi Fan, Yue Fan, Junhua Chen

Based on the newly constructed overcompleteness relation of the nonlinear coherent states (NLCSs) and corresponding 𝒫-representation we derive: (1) a new antinormally ordered expansion of density matrices; and (2) the corresponding positive 𝒫-representation. Our derivation employs the technique of integration within an ordered product of nonlinear Bose operator functions. A relationship between the positive 𝒫-representation and the generalized characteristic function in the context of NLCSs is also obtained.Based on the newly constructed overcompleteness relation of the nonlinear coherent states (NLCSs) and corresponding 𝒫-representation we derive: (1) a new antinormally ordered expansion of density matrices; and (2) the corresponding positive 𝒫-representation. Our derivation employs the technique of integration within an ordered product of nonlinear Bose operator functions. A relationship between the positive 𝒫-representation and the generalized characteristic function in the context of NLCSs is also obtained.

Journal of Optics B Quantum and Semiclassical OpticsSep 2, 20022 citations

Tripartite Nonlinear Entangled State Representations in Quantum Mechanics

Fan, Hong-Yi, LI . +1 more

Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator.

理论物理通讯：英文版Jan 1, 20060 citations

Tripartite Nonlinear Entangled State Representations in Quantum Mechanics

Fan Hong‐Yi, Chao Li

Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator.

Communications in Theoretical PhysicsJul 1, 20061 citation

The P—representation on Nonlinear Coherent State Basis

Abstract

Related papers

The P—representation on Nonlinear Coherent State Basis

Abstract

Related papers