Competing few-body correlations in ultracold Fermi polarons

Ruijin Liu, Xiaoling Cui
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Abstract

Polaron, a typical quasi-particle that describes a single impurity dressed with surrounding environment, serves as an ideal platform for bridging few- and many-body physics. In particular, different few-body correlations can compete with each other and lead to many intriguing phenomena. In this work, we review the recent progresses made in understanding few-body correlation effects in attractive Fermi polarons of ultracold gases. By adopting a unified variational ansatz that incorporates different few-body correlations in a single framework, we will discuss their competing effects in Fermi polarons when the impurity and majority fermions have the same or different masses. For the equal-mass case, we review the nature of polaron-molecule transition that is driven by two-body correlations, and especially highlight the finite momentum character and huge degeneracy of molecule states. For the mass-imbalanced case, we focus on the smooth crossover between polaron and various dressed clusters that originate from high-order correlations. These competing few-body correlations reviewed in Fermi polarons suggest a variety of exotic new phases in the corresponding many-body system of Fermi-Fermi mixtures.

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超冷费米极子中相互竞争的少体相关性
极龙是一种典型的准粒子,描述了单个杂质与周围环境的相互作用,是连接少体和多体物理学的理想平台。特别是,不同的少体相关性可以相互竞争,并导致许多有趣的现象。在这项工作中,我们回顾了最近在理解超冷气体费米极子吸引力中的少体相关效应方面取得的进展。通过采用一种统一的变分解析,将不同的几体相关纳入一个框架,我们将讨论当杂质和多数费米子的质量相同或不同时,它们在费米极子中的竞争效应。对于质量相等的情况,我们回顾了由两体相关性驱动的极子-分子转变的性质,并特别强调了分子态的有限动量特性和巨大的退化性。在质量不平衡的情况下,我们重点关注极子与各种簇之间的平滑交叉,这种交叉源于高阶相关性。费米极子中这些相互竞争的少体相关性表明,在费米-费米混合物的相应多体系统中存在各种奇特的新相。
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