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arXiv 0906.4606cond-mat.quant-gas
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光晶格中超流玻色子的有限温度理论

Finite temperature theory of superfluid bosons in optical lattices

D. Baillie, P. B. Blakie

摘要:

本文发展了一个实用的有限温度理论,研究了附加谐波约束下光晶格中弱相互作用玻色气体的超流区。我们导出了一个扩展的玻色-哈伯德模型,它适用于浅晶格和激发带被占据时。使用Hartree-Fock-Bogoliubov-Popov平均场方法,并应用局部密度和粗粒度包络近似,我们得到了一个可以精确有效地数值实现的理论。我们目前的结果为一个三维系统,表征的重要性的扩展玻色-哈伯德模型的功能,并与其他的理论结果进行比较,并显示出改进的协议与实验数据。

英文摘要:

A practical finite temperature theory is developed for the superfluid regime of a weakly interacting Bose gas in an optical lattice with additional harmonic confinement. We derive an extended Bose-Hubbard model that is valid for shallow lattices and when excited bands are occupied. Using the Hartree-Fock-Bogoliubov-Popov mean-field approach, and applying local density and coarse-grained envelope approximations, we arrive at a theory that can be numerically implemented accurately and efficiently. We present results for a three-dimensional system, characterizing the importance of the features of the extended Bose-Hubbard model and compare against other theoretical results and show an improved agreement with experimental data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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