Quantum fluctuations and collective oscillations of a Bose-Einstein condensate in a 2D optical lattice

Abstract

We use Bogoliubov theory to calculate the beyond mean field correction to the equation of state of a weakly interacting Bose gas in the presence of a tight 2D optical lattice. We show that the lattice induces a characteristic 3D to 1D crossover in the behaviour of quantum fluctuations. Using the hydrodynamic theory of superfluids, we calculate the corresponding shift of the collective frequencies of a harmonically trapped gas. We find that this correction can be of the order of a few percent and hence easily measurable in current experiments. The behavior of the quantum depletion of the condensate is also discussed.

arXiv comment5 pages, 3 figures

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• Exciting Collective Oscillations in a Trapped 1D Gas
• Collective oscillations of a 1D trapped Bose gas
• Macroscopic dynamics of a trapped Bose-Einstein condensate in the presence of 1D and 2D optical lattices
• Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate
• Elementary excitations in trapped Bose gases beyond mean field approximation
• Two-body problem in periodic potentials
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Cited by in corpus (11)

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• Enhanced mobility of quantum droplets in periodic lattices
• Visualization of Dimensional Effects in Collective Excitations of Optically Trapped Quasi-Two-Dimensional Bose Gases
• Effects of disorder on quantum fluctuations and superfluid density of a Bose-Einstein condensate in a two-dimensional optical lattice
• Collective excitations of a trapped Bose-Einstein condensate in the presence of weak disorder and a two-dimensional optical lattice
• Supersolidity of the $\alpha$ cluster structure in the nucleus ${}^{12}$C
• Optically trapped quasi-two-dimensional Bose gases in random environment: quantum fluctuations and superfluid density
• Bogoliubov approach to superfluid-Bose glass phase transition of a disordered Bose-Hubbard Model in weakly interacting regime
• Nonuniversal Equation of State of a Quasi-2D Bose Gas in Dimensional Crossover
• Hierarchical dimensional crossover of an optically-trapped quantum gas with disorder
• Interaction-Induced Dimensional Crossover through Full 3D to 1D