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Abstract: We review the superfluid to Mott-insulator transition of cold atoms inoptical lattices. The experimental signatures of the transition are discussedand the RPA theory of the Bose-Hubbard model briefly described. We point outthat the critical behavior at the transition, as well as the prediction by theRPA theory of a gapped mode besides the Bogoliubov sound mode in thesuperfluid phase, are difficult to understand from the Bogoliubov theory. Onthe other hand, these findings appear to be intimately connected to thenon-trivial infrared behavior of the superfluid phase as recently studiedwithin the non-perturbative renormalization group.



Author: N. Dupuis, K. Sengupta

Source: https://arxiv.org/







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