Exact nonlinear Bloch-state solutions for Bose–Einstein condensates in a periodic array of quantum wells
Exact nonlinear Bloch-state solutions for Bose–Einstein condensates in a periodic array of quantum wells
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DOI：
10.1088/0953-4075/42/8/085302
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发表时间：
2009-03
期刊：
影响因子：
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通讯作者：
Rui Xue;Zhaoxin Liang;Weidong Li
中科院分区：
文献类型：
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作者：
Rui Xue;Zhaoxin Liang;Weidong Li
在一维周期量子威尔斯阵列中，即在方阱周期势中，得到了定态Gross-Pitaevskii方程的一组封闭形式的Bloch态精确解.我们利用这些精确解，全面研究了Bloch带，压缩性，有效质量和声速作为函数的潜在的深度和原子间的相互作用。根据我们的研究，量子威尔斯的周期性阵列是更易于分析的正弦势，并允许一个更容易的实验实现比Krönig-Penney势，因此提供了一个有用的理论模型，了解玻色-爱因斯坦凝聚在周期势。
A set of exact closed-form Bloch-state solutions to the stationary Gross–Pitaevskii equation are obtained for a Bose–Einstein condensate in a one-dimensional periodic array of quantum wells, i.e. a square-well periodic potential. We use these exact solutions to comprehensively study the Bloch band, the compressibility, effective mass and the speed of sound as functions of both the potential depth and interatomic interaction. According to our study, a periodic array of quantum wells is more analytically tractable than the sinusoidal potential and allows an easier experimental realization than the Krönig–Penney potential, therefore providing a useful theoretical model for understanding Bose–Einstein condensates in a periodic potential.