论文标题

轨道变异的绝热性超透明方法应用于玻色的凝结物

Orbital Variational Adiabatic Hyperspherical Method Applied to Bose-Einstein Condensates

论文作者

Lee, Hyunwoo, Greene, Chris H.

论文摘要

由平均场理论动机的差异基集用于描述在绝热超丝坐标框架内的玻色子凝结物。该处理的最简单的单轨道变体再现了由GROSS-PITAEVSKII方程预测的许多基态性质。但是,对基集的多轨改进可以更好地表示粒子相关性和临界数的临界数字,其中冷凝水崩溃了负两体散射长度。该方法还产生了与Bogoliubov理论的系统偏差,用于基本单极激发频率。

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.

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