Critical Temperature for Bose-Einstein condensation in quartic potentials

Details Critical Temperature for Bose-Einstein condensation in quartic potentials Critical Temperature for Bose-Einstein condensation in quartic potentials

2007-10-22

arxiv.org/abs/0710.4006v1

Eur. Phys. J. D 46, 1436-1440 (2008).

Physics

Atomic Physics

2 figures, 5 pages, accepted for publication in Euro. Phys. J. D

Scientific paper

10.1140/epjd/e2007-00279-1

The quartic confining potential has emerged as a key ingredient to obtain fast rotating vortices in BEC as well as observation of quantum phase transitions in optical lattices. We calculate the critical temperature $T_c$ of bosons at which normal to BEC transition occurs for the quartic confining potential. Further more, we evaluate the effect of finite particle number on $T_c$ and find that $\Delta T_c/T_c$ is larger in quartic potential as compared to quadratic potential for number of particles $ < 10^5$. Interestingly, the situation is reversed if the number of particles is $\gtrsim10^5$.

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