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Phase-locking transition of Josephson coupled Bose–Einstein condensates in wood-pile geometry

Author

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  • Kopeć, T.K.
  • Kwiecień, J.T.

Abstract

We consider theoretically phase-locking transition of ultra-cold neutral atoms trapped in optical lattice where the system can be realized as the array of individual Bose–Einstein condensates of elongated vertical and horizontal N rods in a wood-pile form. In this geometry every horizontal (vertical) rod of a condensate is linked to its vertical (horizontal) counterpart, so that the number of nearest neighbors z of a given rod in this system is z=N, implying that the system is fully connected. For this arrangement we implement a model Hamiltonian of the Josephson array and show that in the thermodynamic limit (N→∞) the model allows exact determination of the free energy. With this result we calculate the critical temperature for the phase-locking transition in the array, caused by the Josephson tunneling of bosons, and discuss the result in the context of system parameters and possible experiments.

Suggested Citation

  • Kopeć, T.K. & Kwiecień, J.T., 2014. "Phase-locking transition of Josephson coupled Bose–Einstein condensates in wood-pile geometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 253-259.
  • Handle: RePEc:eee:phsmap:v:406:y:2014:i:c:p:253-259
    DOI: 10.1016/j.physa.2014.03.064
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