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Geometric phase in a Bose-Einstein-Josephson junction

  • Laser Cooling and Quantum Gas
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Abstract.

We calculate the geometric phase associated with the time evolution of the wave function of a Bose-Einstein condensate system in a double-well trap by using a model for tunneling between the wells. For a cyclic evolution, this phase is shown to be half the solid angle subtended by the evolution of a unit vector whose z-component and azimuthal angle are given, respectively, by the population difference and phase difference between the two condensates. For a non-cyclic evolution, an additional phase term arises. We show that the geometric phase can also be obtained by mapping the tunneling equations on to the equations of a space curve. The importance of a geometric phase in the context of some recent experiments is pointed out.

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, Chennai, 600 113, India

    R. Balakrishnan & M. Mehta

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  1. R. Balakrishnan
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  2. M. Mehta
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Correspondence to R. Balakrishnan.

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Balakrishnan, R., Mehta, M. Geometric phase in a Bose-Einstein-Josephson junction. Eur. Phys. J. D 33, 437–446 (2005). https://doi.org/10.1140/epjd/e2005-00071-3

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