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arXiv 2012.11784physics.atom-ph
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轨道变分绝热超球方法在玻色-爱因斯坦凝聚体中的应用

Orbital Variational Adiabatic Hyperspherical Method Applied to Bose-Einstein Condensates

Hyunwoo Lee, Chris H. Greene

摘要:

在绝热超球坐标框架下,利用平均场论的变分基组描述了玻色-爱因斯坦凝聚体。这种处理的最简单的单轨道变体再现了许多由Gross-Pitaevskii方程预测的基态性质。但是对基组的多轨道改进产生了粒子相关性的更好的表示,以及对于负的两体散射长度,凝聚体崩溃的临界数。该方法还产生了系统的偏差,从Bogoliubov理论的基本频率激励。

英文摘要:

A variational basis set motivated by mean-field theory is utilized to describe the Bose-Einstein condensate within the adiabatic hyperspherical coordinate framework. The simplest single-orbital variant of this treatment reproduces many of the ground state properties predicted by the Gross-Pitaevskii equation. But a multi-orbital improvement to the basis set yields a better representation of particle correlations and of the critical number where the condensate collapses for a negative two-body scattering length. The method also produces systematic deviations from Bogoliubov theory for the fundamental monopole excitation frequency.

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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