Abstract
In this work, we investigated the thermodynamic behavior of a rotating Bose-Einstein condensation with non-zero interatomic interactions in one-dimensional optical lattice theoretically. Our system is formed by loading three dimensional boson-clouds into 1D optical lattice and subjected to rotate with angular velocity ɷ about the z axis. We employed the semiclassical Hartree-Fock approach to calculate the condensate fraction, critical temperature, entropy and the heat capacity of the system. Thereby, we investigated the effect of the rotation rate, optical potential depth and the interactions parameter on these parameters. The obtained results provide a solid theoretical foundation for the current experiments of rotating interacting Bose-Einstein condensation produced or transferred in optical lattices.
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