Power laws and collapsing dynamics of a trapped Bose-Einstein condensate with attractive interactions

Hiroki Saito and Masahito Ueda
Phys. Rev. A 63, 043601 – Published 5 March 2001
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Abstract

The critical behavior of collective modes and the collapsing dynamics of trapped Bose-Einstein condensates with attractive interactions are studied analytically and numerically. The time scales of these dynamics both below and above the critical point of the collapse are found to obey power laws with a single parameter of N/Nc1, where N is the number of condensate atoms and Nc is the critical number. The collapsing condensate eventually undergoes rapid implosion, which occurs several times intermittently, and then the implosion turns to an explosion. The release energy of the explosion is found to be proportional to the square of the interaction strength, inversely proportional to the three-body recombination rate, and independent of the number of condensate atoms and the trap frequency.

  • Received 26 June 2000

DOI:https://doi.org/10.1103/PhysRevA.63.043601

©2001 American Physical Society

Authors & Affiliations

Hiroki Saito and Masahito Ueda

  • Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
  • CREST, Japan Science and Technology Corporation (JST), Saitama 332-0012, Japan

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Vol. 63, Iss. 4 — April 2001

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