Bose-Einstein condensation in shallow traps

Abstract

In this paper we study the properties of Bose-Einstein condensates in shallow traps. We discuss the case of a Gaussian potential, but many of our results apply also to the traps having a small quadratic anharmonicity. We show the errors introduced when a Gaussian potential is approximated with a parabolic potential, these errors can be quite large for realistic optical trap parameter values. We study the behavior of the condensate fraction as a function of trap depth and temperature and calculate the chemical potential of the condensate in a Gaussian trap. Finally we calculate the frequencies of the collective excitations in shallow spherically symmetric and 1D traps.

6 pages, 4 figures

References in corpus (4)

• Spinor Bose Condensates in Optical Traps
• Spin domains in ground state spinor Bose-Einstein condensates
• Observation of metastable states in spinor Bose-Einstein condensates
• Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps

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• Outcoupling vector solitons from a Bose-Einstein condensate with time-dependent interatomic forces
• Coherent emission of atomic soliton pairs by Feshbach-resonance tuning
• A Bose gas in a single-beam optical dipole trap
• Cold Bose Atoms Around the Crossing of Quantum Waveguides
• Continuous atom laser with Bose-Einstein condensates involving three-body interactions
• Anharmonicity-Induced Criticality of Collective Excitation in a Trapped Bose-Einstein Condensate
• Use of two-body correlated basis functions with van der Waals interaction to study the shape-independent approximation for a large number of trapped interacting bosons