Quantum phase transitions in optical lattices beyond Bogoliubov approximation

Details Quantum phase transitions in optical lattices beyond Bogoliubov approximation Quantum phase transitions in optical lattices beyond Bogoliubov approximation

2011-08-23

arxiv.org/abs/1108.4695v2

Physics

Condensed Matter

Quantum Gases

Scientific paper

We study the quantum phase transition in optical lattices using ordinary Bose Hubbard Hamiltonian within two loop approximation in variational perturbation theory. We have shown that this approximation can reproduce superfluid Mott insulator transition in contrast to the simple Bogoliubov or Hartee - Fock - Popov approximations. The superfluid fraction and ground state energy per particle vs input parameters of the model are studied.

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