Bogoliubov approach to superfluidity of atoms in an optical lattice
Bogoliubov approach to superfluidity of atoms in an optical lattice
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光学晶格中原子超流动性的 Bogoliubov 方法
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Charles W.Clark
中科院分区：
文献类型：
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作者：
A. Rey;K. Burnett;R. Roth;M. Edwards;Carl J. Williams;Charles W.Clark
我们使用光学晶格中原子的博戈留波夫理论来研究莫特绝缘体跃迁的方法。我们根据相变下系统的刚性推导了超流体密度的显式表达式。这使我们能够一方面探索凝聚态的量子耗尽和准动量分布，另一方面探索超流体分数之间的联系。接近绝缘体相的特征可以通过量子耗尽填充能带来表征，这应该可以通过物质波干涉图案直接观察到。我们通过一维晶格的自洽 Hartree-Fock-Bogoliubov-Popov 计算（包括抛物线捕获势的影响）来补充这些发现。
We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This enables us to explore the connection between the quantum depletion of the condensate and the quasi-momentum distribution on the one hand and the superfluid fraction on the other. The approach to the insulator phase may be characterized through the filling of the band by quantum depletion, which should be directly observable via the matter–wave interference patterns. We complement these findings by self-consistent Hartree–Fock–Bogoliubov–Popov calculations for one-dimensional lattices, including the effects of a parabolic trapping potential.