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arXiv 1012.5618cond-mat.quant-gas
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自旋为1的玻色-爱因斯坦凝聚体中低激发态的反常散射

Anomalous Scattering of Low-lying Excitations in a Spin-1 Bose-Einstein Condensate

Shohei Watabe, Yusuke Kato

摘要:

本文给出了在低动量极限下,玻色-爱因斯坦凝聚体(BEC)中激发通过任意形状杂质势的最简单的完美隧穿理论。这是自旋1 BEC铁磁相中的横向自旋波。这种模式服从薛定谔方程;然而,势对其透射系数$T$和散射截面$sigma$的影响在该极限下消失。序参量决定了$T$,$sigma$的动量$p$依赖性表现为瑞利散射型($sigma propto p^{4}$).这些性质在两种类型的Nambu-Goldstone模式之间是共同的:这种自旋波和Bogoliubov模式。

英文摘要:

We present the simplest theory of perfect tunneling of an excitation in a Bose-Einstein condensate (BEC) through an impurity potential with an arbitrary shape in the low-momentum limit. That is for the transverse spin wave in the ferromagnetic phase of a spin-1 BEC. This mode obeys a Schrödinger-type equation; yet, effects of the potential on its transmission coefficient $T$ and on its scattering cross section $sigma$ vanish in that limit. The order parameter determines $T$, and the momentum $p$-dependence of $sigma$ exhibits a Rayleigh scattering type ($sigma propto p^{4}$). These properties are common between two types of Nambu-Goldstone modes: this spin wave and the Bogoliubov mode.

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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