Multistability and Critical Fluctuation in a Split Bose-Einstein Condenstate
arXiv:quant-ph/0106059 · doi:10.1088/0253-6102/38/6/675
Abstract
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.
arXiv comment4 page, with 1 Figure,Revtex