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New Approach for Calculating Wigner Functions of Generalized Two-Mode Squeezed state and Squeezed Number state via Entangled state Representation

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Communications in Theoretical Physics 2001年第12期36卷 651-656页

作者： FAN Hong-Yi CHENG Hai-Ling Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

We construct the generalized squeezed vacuum state by virtue of the entangled state 〈η| [Fan Hongyi and J.R. Klauder, Phys. Rev. A47 (1994) 777] and derive the quantum fluctuation of the two-mode quadrature *** then calculate Wigner functions of the two-mode squeezed number states and generalized squeezing vacuum state in literature before.

关键词： Wigner function, generalized squeezed state, entangled state

Test of Nonlocality with an Atom-Field Entangled state

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Communications in Theoretical Physics 2002年第7期38卷 9-10页

作者： ZHENG Shi-Biao Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

We propose a scheme for the test of nonlocality with atom-field entanglement. An atom is sent through a cavity filled with a coherent field with a small amplitude. The dispersive interaction leads to atom-field *** the field is driven by a classical current. The Bell inequality can be tested by the joint measurement of the parity of the field and the atomic state.

关键词： nonlocality, entangled state, Bell inequality

New Bosonic Operator Ordering Identities Gained by the Entangled state Representation and Two-Variable Hermite Polynomials

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Communications in Theoretical Physics 2002年第3期38卷 297-300页

作者： FAN Hong-Yi FAN Yue Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

Based on the technique of integration within an ordered product of operators, we derive new bosonicoperators' ordering identities by using entangled state representation and the properties of two-variable Hermite poly-nomials H and vice versa. In doing so, some concise normally (antinormally) ordering operator identities, such asa+man =:Hm,n(a+,a):, ana+m = (-i)m+n:Hm,n(ia+,ia): are obtained.

关键词： operator ordering, entangled state, two-variable Hermite polynomials

Opening angles and residual strains in normal rat trachea

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Science China(Life Sciences) 2002年第2期45卷 138-148页

作者：柳兆荣王忆勤滕忠照徐刚汤伟昌 Biomechanics Laboratory Fudan University Shanghai 200433 China

The no-load state and zero-stress state of the normal rat trachea were analyzed. It was found that there exist compressive residual strains in the inner wall region of the rat trachea and tensile residual strains in the outer wall region. The fact that the opening angle of the rat trachea cut at the cartilaginous region is significantly larger than that cut at the muscular portion shows that residual strains exist mainly in the muscular region in the rat trachea. It was also indicated that the opening angles and residual strains expressed by cutting at the muscular portion are basically identical along longitudinal location and those expressed by cutting in the cartilaginous region tend to increase in the longitudinal direction in the normal rat, and that there exists quantitatively positive correlation between the opening angles and residual strains in rat trachea. The results will help to further understand the opening angles and residual strains in the trachea and study tracheal remodeling in response to mechanical environment.

关键词： rat trachea, zero-stress state, no-load state, opening angle, residual strain.

Effect of an impurity on 3-electron quantum dots in magnetic fields

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Science China(Physics,Mechanics & Astronomy) 2004年第5期47卷 521-530页

作者： LIU Yimin1,2, HUANG Gangming1 & BAO Chengguang1 1. Department of Physics, Zhongshan University, Guangzhou 510275, China 2. Department of Physics, Shaoguan University, Shaoguan 512005, China Department of Physics Zhongshan University Guangzhou China Department of Physics Shaoguan University Shaoguan China

The ground-state property of a 2-dimensional 3-electron quantum dot (QD) subjected to an external magnetic fieldB and affected by an impurity is studied. The impurity is located at thez-axis by a distanced from the plane of the dot. The evolution of the angular momentumL o and the spinS o of the ground state in accordance withB andd has been calculated, and the results are summarized and plotted in a (L o,S o) diagram. The spatial distribution of the electrons (the size and the geometric features) and the optical absorption have also been investigated. The (L o S o) diagram indicates thatL o andS o may jump whend and/orB vary. It was found that, due to the constraints arising from symmetry, each symmetric geometry is accessible only to a specific group of states having specificL o andS o.

关键词： quantum dot, ground state, charged impurity, magnetic field.

Three types of maximally entangled states for a two-particle system

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Science China(Physics,Mechanics & Astronomy) 2004年第1期47卷 36-41页

作者： RUAN Manqi, XU Gang & ZENG Jinyan Department of Physics, Tsinghua University, Beijing 100084, China Department of Physics, Peking University, Beijing 100871, China Correspondence should be addressed to Zeng Jinyan (email: jyzeng@***) Received June 16, 2003 Department of Physics Tsinghua University Beijing China Department of Physics Peking University Beijing China

For a two-particle (spin 1/2) system, three fundamental forms of complete sets of commuting observables (CSCO) composed of two-body operatorsσ 1α σ 2α are given. The corresponding simultaneous eigenstates constitute three types of maximally entangled states, one of which is the well known Bell basis. This paper discusses the possible pairs of spin observables whose simultaneous measurement outcomes are definitely correlated in probabilistic fashion.

关键词： spin entangled state, complete set of commuting observables, two-body operator.

Reanalysis of the 3D quasi-stationary grain size distribution based on Hillert's grain growth rate equation

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Science China(Technological Sciences) 2004年第1期47卷 112-120页

作者： WANG Chao LIU Guoquan School of Materials Science and Engineering University of Science and Technology Beijing Beijing 100083 China School of Materials Science and Engineering University of Science and Technology Beijing Beijing 100083 China

Based on Hillert's 3D grain growth rate equation, the grain growth continuity equation was solved. The results show that there are an infinite number of 3D quasi-stationary grain size distributions. This conclusion has gained strong supports from results of different computer simulations reported in the literature.

关键词： Hillert's grain growth equation, continuity equation, quasi-stationary state, grain size distribution, analytical distribution.

A note on noncommutative moment problems

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Science China Mathematics 2005年第8期48卷 1144-1151页

作者： MA Xiujuan School of Sciences, Hebei University of Technology, Tianjin 300130, China Mathematics Institute, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China School of Sciences Hebei University of Technology Tianjin China Mathematics Institute Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China

Noncommutative moment problems for C*-algebras are studied. We generalize a result of Hadwin on tracial states to nontracial case. Our results are applied to obtain simple solutions to moment problems on the square and the circle as well as extend the positive unital functionals from a (discrete) complex group algebra to states on the group C*-algebra.

关键词： moment, free product, state, group C*-algebra.

Experimental EOS determination of aluminum at Mbar pressure

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Science China(Physics,Mechanics & Astronomy) 2004年第4期47卷 416-423页

作者： CHEN Jianping1,2, LI Ruxin1, ZENG Zhinan1, WANG Xingtao1 & XU Zhizhan1 1. Shanghai Institute of Optics and Fine Mechanics, Shanghai 201800, China 2. Beijing Aeronautical Technology Research Center, Beijing 100076, China Shanghai Institute of Optics and Fine Mechanics Shanghai China Beijing Aeronautical Technology Research Center Beijing China

A shock wave is driven by a laser pulse of 1.2 ps duration (FWHM), with the intensity of ～1014 W/cm2 at 785 nm, irradiating a 500 nm thick aluminum foil. A chirped laser pulse split from the main pulse is used to detect the shock breakout process at the rear surface of the target based on frequency domain interferometry. The mean shock velocity determination benefits from the precise synchronization (＜100fs resolution) of the shock pump and probe laser pulses, which is calculated from the time the shock takes to travel the 500 nm thick aluminum. The released particle velocity determination benefits from the chirped pulse frequency domain interferometry. The average shock velocity is 15.15 km/s and the shock release particle velocity is 15.24 km/s, and the corresponding pressure after shock is 3.12 Mbar under our experimental condition.

关键词： shock wave, equation of state, chirped laser pulse.