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arXiv 1302.5693cond-mat.quant-gas
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最低朗道能级涡旋态的关联

Correlations in lowest Landau level vortex states

Soheil Baharian, Gordon Baym

摘要:

我们展示了如何的Bogoliubov基态的波函数波函数的一个玻色凝聚体与一个单一的涡旋在谐波陷阱的配置空间形式可以描述在玻色Jastrow相关。然后,我们推广这一结果,研究这种相关性的平均场涡旋晶格态的第一个影响,并表明,所包括的相关性降低的能量低于平均场状态。虽然减少是相对较小的,它是一个更普遍的预期效果的相关性在描述熔化的涡旋晶格在每个粒子的大角动量的前兆。

英文摘要:

We show how the configuration-space form of the Bogoliubov ground state wave function of a bosonic condensate with a single vortex in a harmonic trap can be described in terms of bosonic Jastrow correlations. We then generalize this result to study the first effects of such correlations on a mean-field vortex lattice state and show that the included correlations lower the energy below that of the mean-field state. Although the reduction is relatively small, it is a precursor of the more general expected effect of correlations in describing the melting of the vortex lattice at large angular momentum per particle.

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