arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0903.4269cond-mat.quant-gascond-mat.other
收藏

周期量子阱阵列中玻色-爱因斯坦凝聚体的精确非线性布洛赫态解

Exact nonlinear Bloch-state solutions for Bose-Einstein condensates in a periodic array of quantum wells

Rui Xue, Z. X. Liang, Weidong Li

摘要:

在一维周期量子阱阵列(即方阱周期势)中的玻色-爱因斯坦凝聚体,得到了定态Gross-Pitaevskii方程的一组精确封闭形式的Bloch态解.利用这些精确解,我们全面地研究了Bloch带、可压缩性、有效质量和声速随势深度和原子间相互作用的变化。根据我们的研究,量子阱的周期性阵列比正弦势更容易分析,并且比Krönig-Penney势更容易实验实现,因此为理解周期势中的玻色-爱因斯坦凝聚体提供了有用的理论模型。

英文摘要:

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.

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。

↑