Critical point of a rotating Bose-Einstein condensates in optical lattice

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• 作者：Azza M. El-Badry ; ^{elbadry.azza@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Shemi S.M. Soliman ; Ahmed S. Hassan
• 关键词：Critical atoms&rsquo ; number ; Rotating condensate in optical lattice ; Semiclassical approach
• 刊名：Physica B: Physics of Condensed Matter
• 出版年：2016
• 出版时间：15 June 2016
• 年：2016
• 卷：491
• 期：Complete
• 页码：65-69
• 全文大小：658 K

文摘

In this paper, we have considered the critical point (critical atoms’ number and the corresponding critical temperature) of rotating condensate bosons trapped in optical lattices. Our system is formed by loading three dimensional harmonically trapped boson atoms into a 1D (axial direction) or 2D (radial direction) optical lattice. The system subjected to rotating with angular velocity Ω around to the axial direction z-axis. We employ the semiclassical approximation to calculate the critical point. Effects of the optical lattice depth, direction (axial or radial) and the rotation rate on the critical point are investigated using the semiclassical approximation. The calculated results showed that the temperature dependence of the critical point is changed in an optical lattice and depends crucially on the rotation rate. The effect of the finite size for one-dimensional optical lattice case, as required by experiment, is discussed. The outcome results furnish useful qualitatively theoretical results for the future Bose–Einstein condensation experiments in such traps.