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arXiv · 1303.1642

Phase Transitions in Three-Dimensional Bosonic Systems in Optical Lattices

H. Kleinert·Z. Narzikulov·Abdulla Rakhimov
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Abstract

We formulate the Collective Quantum Field Theory for three-dimensional bosonic optical lattices and evaluate its consequences in a mean-field approximation to two collective fields, proposed by Fred Cooper et al. and in a lowest-order Variational Perturbation Theory (VPT). It is shown that present mean-field approximation predicts some essential features of the experimentally observed dependence of the critical temperature on the coupling strength and a second - order quantum phase transition.In contrast to a recent prediction for atomic gases by Fred Cooper et. al., we find no superfluid state with zero condensate fraction.

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H. Kleinert, Z. Narzikulov, Abdulla Rakhimov. 2014-01-21. Phase Transitions in Three-Dimensional Bosonic Systems in Optical Lattices. https://doi.org/10.1088/1742-5468%2F2014%2F01%2Fp01003

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