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General behavior for the condensation of an interacting Bose gas in an 1D optical lattice

✍ Scribed by Ahmed S. Hassan


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
279 KB
Volume
405
Category
Article
ISSN
0921-4526

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✦ Synopsis


The general behavior of the condensation of an interacting Bose gas in a combined 3D magnetic potential with 1D optical potential is theoretically investigated. A simple analytical procedure based on a piecewise density of states is used to calculate the condensate fraction and the critical temperature for this system. The calculated results showed that the condensation in this system can be founded in three different quantum phases. Transition between them are identified by the condensate fraction behavior as a function of lattice depth and the reduced temperature. I have presented results over a wide parameter regime appropriate to current experiments at NIST and ENS. The calculated results are in a good agreement with the experimental measured data of Spielman et al. (2008) [5].


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We consider a rotating Bose-Einstein condensate in an optical lattice in the regime in which the system Hamiltonian can be mapped onto a Josephson junction array. In an approximate scheme where the couplings are assumed uniform, the ground state energy is formulated in terms of the vortex configurat