2000/08/02 by J. -P. Martikainen, J.-P. Martikainen
Chemistry · Mathematics · Physics and Astronomy · #Anharmonicity #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensation #Function (biology) #Gaussian #Geometry #Mathematics #Meteorology #Physics #Quadratic equation #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #Statistical physics #Thermodynamics #Trap (plumbing) #Trapping #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreva.63.043602
6 pages, 4 figures
arxiv created 2000/08/02 · openalex publication_date 2001/03/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 also apply 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 one-dimensional traps.