Power laws and collapsing dynamics of a trapped BoseEinstein condensate with attractive interactions
Abstract
The critical behavior of collective modes and the collapsing dynamics of trapped BoseEinstein 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/N_{c}1, where N is the number of condensate atoms and N_{c} 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 threebody recombination rate, and independent of the number of condensate atoms and the trap frequency.
 Publication:

Physical Review A
 Pub Date:
 April 2001
 DOI:
 10.1103/PhysRevA.63.043601
 arXiv:
 arXiv:condmat/0006410
 Bibcode:
 2001PhRvA..63d3601S
 Keywords:

 03.75.Fi;
 05.30.Jp;
 32.80.Pj;
 05.45.a;
 Boson systems;
 Optical cooling of atoms;
 trapping;
 Nonlinear dynamics and chaos;
 Condensed Matter
 EPrint:
 9 pages, RevTeX, 7 figures, epsf.sty, corrected loss rates