Multistability and Critical Fluctuation in a Split Bose-Einstein Condenstate

Details Multistability and Critical Fluctuation in a Split Bose-Einstein Condenstate Multistability and Critical Fluctuation in a Split Bose-Einstein Condenstate

2001-06-11

arxiv.org/abs/quant-ph/0106059v1

Physics

Quantum Physics

4 page, with 1 Figure,Revtex

Scientific paper

By using a two-mode description, we show that there exist the multistability, phase transition and associated critical fluctuations in the macroscopic tunneling process between the halves of a double-well trap containing a Bose-Einstein condenstate. The phase transition that two of the triple stable states and a unstable state merge into one stable state or a reverse process takes place whenever the ratio of the mean field energy per particle to the tunneling energy goes across a critical value of order one. The critical fluctuation phenomenon corresponds to squeezed states for the phase difference between the two wells accompanying with large fluctuations of atom numbers.

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