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Quantum Phase Transition of Bose Einstein Condensation in Optical Cavity with Nonlinear Interaction

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Abstract

In this paper, we investigate the quantum phase transition of Bose-Einstein condensation in a high quality optical cavity with the atoms-cavity nonlinear interaction induced by the transverse pump light. Under the mean-field approximation, we give the phase diagram in the cases of both blue and red shifts. In the case of red shift, there exists momentum reversion phenomenon, in which the atomic occupation in the nonzero momentum state surpass that in the zero momentum state. Additionally, we reveal the spontaneous symmetry breaking mechanism in the system.

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Acknowledgments

We thank the useful discussion from Prof. D. L. Zhou.

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Correspondence to H. B. Zhu.

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Zhu, H.B., Wang, Z.H. Quantum Phase Transition of Bose Einstein Condensation in Optical Cavity with Nonlinear Interaction. Int J Theor Phys 55, 183–190 (2016). https://doi.org/10.1007/s10773-015-2648-5

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  • DOI: https://doi.org/10.1007/s10773-015-2648-5

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