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wigner function for the generalized excited pair coherent state

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Chinese Physics B 2008年第5期17卷 1791-1797页

作者：孟祥国王继锁梁宝龙李洪奇 Department of Physics Liaocheng University Department of Physics Heze University

This paper introduces the generalized excited pair coherent state （GEPCS）. Using the entangled state 〈η〉 representation of wigner operator, it obtains the wigner function for the GEPCS. In the ρ-γ phase space, the variations of the wigner function distributions with the parameters q, α, k and l are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the wigner operator and the projection operator of the entangled state ｜η1, η2, τ1, τ2｜. The entangled states ｜η〉 and ｜η1, η2, τ1, τ2〉 provide two good representative space for studying the wigner functions and tomograms of various two-mode correlated quantum states.

关键词： generalized excited pair coherent state wigner function tomogram entangled state representation

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

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Chinese Physics B 2009年第11期18卷 4657-4661页

作者：胡利云范洪义 College of Physics & Communication Electronics Jiangxi Normal University Department of Physics Shanghai Jiao Tong University

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.

关键词： wigner function photon-subtraction squeezed thermal state integration with in an ordered product technique

wigner function for the Dirac oscillator in spinor space

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Chinese Physics C 2011年第1期35卷 11-15页

作者：马凯王剑华袁毅 Xinjiang University Shaanxi University of Technology

The wigner function for the Dirac oscillator in spinor space is studied in this paper. Firstly, since the Dirac equation is described as a matrix equation in phase space, it is necessary to define the wigner function as a matrix function in spinor space. Secondly, the matrix form of the wigner function is proven to support the Dirac equation. Thirdly, by solving the Dirac equation, energy levels and the wigner function for the Dirac oscillator in spinor space are obtained.

关键词： Dirac oscillator wigner function Dirac equation spinor space

wigner function and Phase Probability Distribution of q-Analogue of Squeezed One-Photon State

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Communications in Theoretical Physics 2008年第6期49卷 1457-1460页

作者： MENG Xiang-Guo WANG Ji-Suo LIANG Bao-Long Department of Physics Liaocheng University Liaocheng 252059 China

In this paper, in terms of the technique of integration within an ordered product （IWOP） of operators and the properties of the inverses of q-deformed annihilation and creation operators, normalizable q-analogue of the squeezed one-photon state, which is quite different from one introduced by Song and Fan [Int. 3. Theor. Phys. 41 （2002） 695], is constructed. Moreover, the wigner function and phase probability distribution of q-analogue of the squeezed one-photon state are examined.

关键词： q-analogue of the squeezed one-photon state IWOP technique wigner function phase probability distribution

wigner function of Density Operator for Negative Binomial Distribution

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Communications in Theoretical Physics 2008年第6期49卷 1453-1456页

作者： XU Xing-Lei LI Hong-Qi Department of Physics Heze University Heze 274015 China Key Laboratory of Quantum Communication and Calculation Heze University Heze 274015 China

By using the technique of integration within an ordered product （IWOP） of operator we derive wigner function of density operator for negative binomial distribution of radiation field in the mixed state case, then we derive the wigner function of squeezed number state, which yields negative binomial distribution by virtue of the entangled state representation and the entangled wigner operator.

关键词： IWOP wigner function negative binomial distribution

Scheme for direct measurement of wigner function in two-mode cavity QED driven by classical fields

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Chinese Physics B 2010年第12期19卷 255-262页

作者：吴怀志杨贞标郑仕标 Department of Physics and State Key Laboratory Breeding Base of Photocatalysis Fuzhou University

We propose a scheme for the direct measurement of wigner function in two-mode cavity QED. The atoms are sent to resonantly interact with two orthogonally polarized cavity modes in the presence of strong classical field. The probability of measuring the atom in the ground state directly gives the useful information of the cavity field. This method can be used for quantum non-demolition measurement of the photon number.

关键词： two-mode cavity wigner function quantum non-demolition measurement

Relation between Fresnel transform of input light field and the two-parameter Radon transform of wigner function of the field

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Chinese Physics B 2009年第2期18卷 611-615页

作者：范洪义胡利云 Department of Physics Shanghai Jiao Tong University

This paper proves a new theorem on the relationship between optical field wigner function＇s two-parameter Radon transform and optical Fresnel transform of the field, i.e., when an input field ψ （x＇） propagates through an optical [D （-B）（-C） A] system, the energy density of the output field is equal to the Radon transform of the wigner function of the input field, where the Radon transform parameters are D, B. It prove this theorem in both spatial-domain and frequency-domain, in the latter case the Radon transform parameters are A, C.

关键词： Fresnel transform two-parameter Radon transform wigner function

wigner function and tomogram of the Hermite polynomial state

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Chinese Physics B 2007年第8期16卷 2415-2421页

作者：孟祥国王继锁李艳玲 Department of Physics Liaocheng University Liaocheng 252059 China

Using the coherent state representation of wigner operator and the technique of integration within an ordered product （IWOP） of operators, this paper derives the wigner function for the Hermite polynomial state （HPS）. The tomogram of the HPS is calculated with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics.

关键词： Hermite polynomial state IWOP technique wigner function tomogram

Normally-Ordered Time Evolution Operator for Mass-Varying Harmonic Oscillator and wigner function of Squeezed Number State

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Communications in Theoretical Physics 2010年第7期54卷 67-72页

作者：唐绪兵许雪芬范洪义 School of Mathematic and Physics Anhui University of Technology Department of Basic Courses Jiangsu Teachers University of Technology Department of Material Science and Engineering University of Science and Technology of China

For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integrationoperator in coherent state representation and then perform this integral by virtue of the technique of integration withinan ordered product of *** normally ordered time evolution operator is thus *** then derive thewigner function of u(t)|n>,where |n> is a Fock state,which exhibits a generalized squeezing,the squeezing effect isrelated to the varying mass with time.

关键词： harmonic oscillator wigner function damping mass-varying