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26 April 2024
 
  » arxiv » 0810.4199

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Quantum dynamics of an instabiltiy-induced pulsation in a Bose-Einstein condensate in an optical lattice
Uttam Shrestha ; Juha Javanainen ; Janne Ruostekoski ;
Date 23 Oct 2008
AbstractWe study the dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly periodically collect themselves into a pulse and subsequently disperse back into the initial homogeneous state. A qualitative explanation of the quasi-periodic behavior is given by drawing an analogy with a double-well system. In an extension we introduce quantum effects approximately within Truncated Wigner Approximation (TWA). In pure classical mean field theory the condensate shows an undamped pulsating instability, whereas we have observed a damping in the oscillation when we average over many stochastic realizations.
Source arXiv, 0810.4199
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