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Macroscopic quantum tunneling of the Bose-Einstein condensate trapped in cylindrically symmetric potential

Yukinori Yasui·Takayuki Takaai·Takayoshi Ootsuka
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Abstract

We investigate the macroscopic quantum tunneling of the attractive Bose-Einstein condensate. Within the effective Lagrangian framework, we find bounce solutions and explicitly calculate the decay rate of the condensate trapped in a cylindrically symmetric potential. In particular, in the case where the number of condensed bosons is slightly below a certain critical number, we present a detailed analysis of the bounce solutions and discuss the approximations employed in our calculations. The effects of finite temperatures and the shape of the trapping potential are evaluated.

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Yukinori Yasui, Takayuki Takaai, Takayoshi Ootsuka. 2000-11-21. Macroscopic quantum tunneling of the Bose-Einstein condensate trapped in cylindrically symmetric potential. https://arxiv.org/abs/cond-mat/0011351

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