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16 March 2025
 
  » arxiv » 0708.0092

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Bistability and fluctuations of a weakly interacting Bose-Einstein condensate
Z. Idziaszek ; L. Zawitkowski ; M. Gajda ; K. Rzazewski ;
Date 1 Aug 2007
AbstractFluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. We develop a recursive scheme that allows to calculate condensate statistics for systems of few hundred particles and an approximate approach applicable to systems with N~10000 particles. We point out the importance of particle-number constrain for the statistics near the critical region, which reveal a novel bistable phase of the condensate. Our analysis is performed in the canonical ensemble and the excitations are described in a self-consistent way within the Bogoliubov-Popov approximation.
Source arXiv, 0708.0092
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