Geometric Phase and Quantum Phase Transition in Ultracold &#8312;&#8311;Rb Atom Gas with Radiant Field

Chen gang; Jiuqing Liang; Liu W.-M

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Geometric Phase and Quantum Phase Transition in Ultracold ⁸⁷Rb Atom Gas with Radiant Field

Chen gang,Jiuqing Liang *,Liu W.-M

Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China

*Correspondence author

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Funding: none

Opened online:21 December 2007

Accepted by: none

Citation: Chen gang,Jiuqing Liang,Liu W.-M.Geometric Phase and Quantum Phase Transition in Ultracold ⁸⁷Rb Atom Gas with Radiant Field[OL]. [21 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17234

The second-order quantum phase transition in two-species Bose-Einstein condensates of ⁸⁷Rb atoms coupled by a quantized radiant field is demonstrated explicitly in terms of the energy spectrum which is obtained in the thermodynamic limit. We show the relation between the criticality and the non-adiabatic geometric phase which is derived by means of a time-dependent unitary transformation. The geometric phase vanishes when the coupling parameter between the atom and field is below the critical value and depends linearly on the atom-number N above the critical point possessing a discontinuous first-order derivative. The asymptotic behavior of the geometric phase at vicinity of phase transition point is obtained analytically. It is also demonstrated that the quantum phase transition is realizable below the critical temperature of BEC and can be detected experimentally by measuring the abrupt change of the average photon-number.

Keywords:Bose-Einstein condensate;Quantum Phase Transition;Geometric Phase

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