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Superfluid Fermi Gases in a Rotating Anharmonic Trap

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Communications in Theoretical Physics 2011年第3期55卷 434-440页

作者： MA juan xue ju-kui College of Physics and Electronics Engineering Northwest Normal University Lanzhou 730070 China

The quadrupole mode frequency, the monopole mode frequency, and the critical rotational frequency for stirring a single vortex nucleation along the BEC-BCS crossover are obtained. The results show that, in a rotating anisotropic anharmonic trap, the quadrupole mode frequency and the critical rotational frequency for stirring a single vortex nucleation are modified significantly when the system crosses from the BEC side to the BCS side： the anisotropy of the trap induces a downshiff of the quadrupole mode frequency and the critical rotational frequency and helps the vortex formation in the system, while an anharmonic trap induces an upshift of the quadrupole mode frequency and the critical rotational frequency and suppresses the vortex formation in the system.

关键词： superfluid Fermi gases anisotropic anharmonic trap vortex

The Anisotropy of Dipolar Condensate in One-Dimensional Optical Lattices

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Chinese Physics Letters 2012年第2期29卷 13-16页

作者： TIE Lu xue ju-kui Key Laboratory of Atomic&Molecular Physics and Functional Materials of Gansu Province College of Physics and Electronics EngineeringNorthwest Normal UniversityLanzhou 730070

The anisotropy of dipole-dipole interaction is revealed by energy band,tunneling dynamics and stabilities of a dipolar condensate in one-dimensional optical *** is demonstrated that the Bloch band structure,the tunneling rate between Bloch bands and the stabilities of Bloch states can be controlled by adjusting the effective aspect ratio of the condensate and the dipolar orientation.

关键词： Bloch tunneling dipole

Stability of Two-Component Bose-Einstein Condensates in Bessel Optical Lattices

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Communications in Theoretical Physics 2008年第6期49卷 1519-1526页

作者： CHEN Hai-jun LI Hao-Cai xue ju-kui College of Physics and Electronics Engineering Northwest Normal University Lanzhou 730070 China

The stability of the ground state of two-component Bose-Einstein condensates （BEGs） loaded into the central well of an axially symmetric Bessel lattices （BLs） potential with attractive or repulsive atoms interactions is studied using the time-dependent Gross-Pitaevskii equation （GPE）. By using the variational method, we find that stable ground state of two-component BEGs can exist in BLs. The BLs＇s depth and the intra-species atom interaction play an important role in the stability of ground state. The collapse of two-component BEGs in BLs is also studied and a collapse condition for trapped two-component BEGs is obtained. It is shown that the two-component BEGs exhibit rich collapse dynamics. That is, the two-component BEGs can collapse in the system with both intra- and inter-attractive, or with intra-attractive and inter-repulsive, or with intra-repulsive and inter-attractive atom interactions. Furthermore, the control of the collapse of the two-component BEGs in BLs is discussed in detail. The stability diagram of the ground state in parameter space is obtained. The results show that the collapse of two-component BEGs can be controlled by temporal modulation of the atom interaction.

关键词： two-component Bose-Einstein condensates Gross-Pitaevskii equation Bessel optical lattice ground state

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Dynamics of Dark Solitons in Superfluid Fermi Gases

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Chinese Physics Letters 2013年第11期30卷 25-28页

作者： QI Xiu-Ying ZHANG Ai-Xia xue ju-kui Key Laboratory of Atomic&Molecular Physics and Functional Materials of Gansu Province College of Physics and Electronics EngineeringNorthwest Normal UniversityLanzhou 730070

We present an analytical study on the dynamics of dark solitons in superfluid Fermi *** using the modified lens-type transformation,the dynamical equation of superfluid Fermi gases is reduced to a modified one-dimensional nonlinear Shor?dinger equation(NLSE).Once again,by using the reductive perturbation method,the NLSE is reduced to a standard Korteweg-de Vries equation which may be useful for understanding the dynamics of dark solitons in superfluid Fermi *** existence of dark soliton solutions in the Fermi gases is *** particular,we show that,by manipulating and controlling the scattering length between Fermi atomics of different components and the external potential,the soliton's parameters(amplitude and width)can be changed in a controllable way.

关键词： Fermi soliton equation

Collective Excitations and Nonlinear Dynamics of 1D BEC with Two-and Three-body Interactions in Anharmonic Traps

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Communications in Theoretical Physics 2008年第11期50卷 1129-1136页

作者： LI Guan-Qiang PENG Ping LIU Jian-Ke xue ju-kui Faculty of Science Shaanxi University of Science and Technology Xi＇an 710021 China physics and Electronics Engineering College Northwest Normal University Lanzhou 730070 China

The collective excitations of low-dimensional Bose-Einstein condensates with two- and three-body interactions in anharmonic potentials are investigated. Using the standard variational approach, the governing equations of motions for the low-energy excitations are obtained by solving time-dependent Gross-Pitaevskii-Ginzburg equation, and the excitation spectrums are calculated in small amplitude limit. The frequency shift and nonlinear mode coupling induced by the anharmonic distortion （adding cubic, quartic, or quintic terra to a harmonic trap） are studied.

关键词： collective excitations Gross-Pitaevskii-Ginzburg equation anharmouic trapping potentials frequency shift of low-energy excitations non-resonant mode coupling

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Energy Band Structure of the Electron Gas in Periodic Quantum Wells

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Chinese Physics Letters 2012年第8期29卷 221-224页

作者： MAO Sheng-Hong MA Yu-Ting xue ju-kui Key Laboratory of Atomic&Molecular Physics and Functional Materials of Gansu Province College of Physics and Electronics EngineeringNorthwest Normal UniversityLanzhou 730070

The energy band structure and current density of electron gas with an exchange-correlation effect in periodic quantum wells are *** is found that the energy band shows a swallowtail structure at the boundary of the first Brillouin zone when the electron exchange-correlation effect is presented and the average electron density is smaller than a critical *** energy band structure is closely related to the current density of the system.

关键词： value exchange structure

Stability and Collective Excitation of Two-Dimensional BECs with Two-and Three-Body Interactions in an Anharmonic Trap

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Communications in Theoretical Physics 2009年第3期51卷 433-440页

作者： YONG Wen-Mei WEI Xiu-Fang ZHOU Xiao-Yan xue ju-kui College of Physics and Electronics Engineering Northwest Normal University Lanzhou 730070 China College of Science Gansu Agricultural University Lanzhou 730070 China Department of Physics Lanzhou City University Lanzhou 730070 China

The stability and collective excitation of Bose-Einstein condensates with both two- and three-body interactions in a two-dimensional anhaxmonic trap （i.e., harmonic plus quartic trap） are investigated. By using the variational method, the influence of the three-body interaction and the anharmonicity on the stability axe discussed in detail. It is found that the anhaxmonicity of the trap and the three-body interaction have significant effect on the stability and collective excitations of the system.

关键词： Bose Einstein condensates stability anharmonicity three-body interaction

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Energy band structure in optical of spin-1 condensates lattices

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Chinese Physics B 2010年第10期19卷 68-73页

作者： Li Zhi Zhang Ai-Xia Ma juan xue ju-kui College of Physics and Electronics Engineering Northwest Normal University Lanzhou 730070 China

The energy band structure of spin-1 condensates with repulsive spimindependent and either ferromagnetic or antiferromagnetic spin-dependent interactions in one-dimensional （1D） periodic optical lattices is discussed. Within the two-mode approximation, Bloch bands of spin-1 condensates are presented. The results show that the Bloch bands exhibit a complex structure as the atom density of mF = 0 hyperfine state increases： bands splitting, reversion, intersection and loop structure are excited subsequently. The complex band structure should be related to the tunneling and spin-mixing dynamics.

关键词： spiral condensates optical lattices band structure

Bose--Einstein Condensates with Two- and Three-Body Interactions in an Anharmonic Trap at Finite Temperature

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Chinese Physics Letters 2010年第3期27卷 25-28页

作者：李好财陈海军薛具奎 College of Physics and Electronics Engineering Northwest Normal University Lanzhou 730070

The transition temperature, the depletion of the condensate atoms and the collective excitations of a Bose-Einstein condensation （BEC） with two- and three-body interactions in an anharmonic trap at finite temperature are studied in detail. By using the Popov version of the Hartree-Fock-Bogoliubov （HFB） approximation, an extended self-consistent model describing BEC with both two- and three-body interactions in a distorted harmonic potential at finite temperature is obtained and solved numerically. The results show that the transition temperature, the condensed atom number and the collective excitations are modified dramatically by the atomic three-body interactions and the distortion of the harmonic trap.

关键词： Atomic and molecular physics Quantum gases liquids and solids Computational physics