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arXiv:cond-mat/9512155 · Czechoslovak Journal of Physics

Aspect ratio analysis for ground states of bosons in anisotropic traps

Kirill N. Ilinski, Alexander Moroz

Published Jan 1, 1996• 1 citation
arXivHTMLPDF
DOI
10.1007/bf02569690

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Characteristics of the initial condensate in the recent experiment on Bose-Einstein condensation (BEC) of 87 Rb atoms in an anisotropic magnetic trap are discussed.Given the aspect ratio R , the quality of BEC is estimated.A simple analytical ansatz for the initial condensate wave function is proposed as a function of the aspect ratio which, in contrast to the Baym-Pethick trial wave function, can be used for any interaction strength, reproduces both the weak and the strong interaction limits, and which is in better agreement with numerical results than the latter.

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Aspect Ratio Analysis for Ground States of Bosons in Anisotropic Traps

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Introduction Bose-Einstein condensation (BEC) is a phenomenon where a macroscopic number of particles is in the ground state of the system at finite temperature. The phenomenon of BEC plays a significant role in many branches of physics [1]. Because of the presence of strong interactions, BEC has been inferred rather than directly observed so far. Recently, however, three different groups have reported the direct evidence of BEC in weakly interacting systems of atoms such as rubidium [2], lithium [3], and sodium [4], confined in anisotropic magnetic traps and cooled down to very low temperatures. These experiments show promise of becoming a new laboratory for quantum statistical phenomena that are inaccessible to other conventional techniques and of enabling us to experimental study phenomena that have been addressed only theoretically, such as spontaneous symmetry breaking and decay of unstable macroscopic states. They may also advance our understanding of superconductivity and

•Jan 1, 1996•2 citations
Characteristics of the initial condensate in the recent experiment on Bose-Einstein condensation (BEC) of 87 Rb atoms in an anisotropic magnetic trap are discussed.Given the aspect ratio R , the quality of BEC is estimated.A simple analytical ansatz for the initial condensate wave function is proposed as a function of the aspect ratio which, in contrast to the Baym-Pethick trial wave function, can be used for any interaction strength, reproduces both the weak and the strong interaction limits, and which is in better agreement with numerical results than the latter.
Introduction Bose-Einstein condensation (BEC) is a phenomenon where a macroscopic number of particles is in the ground state of the system at finite temperature. The phenomenon of BEC plays a significant role in many branches of physics [1]. Because of the presence of strong interactions, BEC has been inferred rather than directly observed so far. Recently, however, three different groups have reported the direct evidence of BEC in weakly interacting systems of atoms such as rubidium [2], lithium [3], and sodium [4], confined in anisotropic magnetic traps and cooled down to very low temperatures. These experiments show promise of becoming a new laboratory for quantum statistical phenomena that are inaccessible to other conventional techniques and of enabling us to experimental study phenomena that have been addressed only theoretically, such as spontaneous symmetry breaking and decay of unstable macroscopic states. They may also advance our understanding of superconductivity and