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arXiv 2303.07083cond-mat.quant-gasquant-ph
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探索一维玻色-费米混合物中的类声子相互作用

Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures

Axel Gagge, Th. K. Mavrogordatos, Jonas Larson

AI总结:

研究一维玻色-费米混合物中类声子相互作用,发现耦合系统发生从 Luttinger 液体到 Peierls 相的 BKT 相变,光学晶格可稳定该相,而强相互作用和陷阱效应会导致系统坍缩、分离或形成婚礼蛋糕状构型。

摘要:

为了模拟电子在动态背景中的物理行为,我们研究了仅对玻色子产生作用的光学晶格势中受限的冷原子玻色-费米混合物。处于深超流区的玻色子继承了光学晶格的周期性,随后作为极化费米子的动态势。由于费米子与凝聚体之间的原子-声子相互作用,耦合系统表现出从 Luttinger 液体到 Peierls 相的 Berezinskii-Kosterlitz-Thouless 相变。然而,在足够强的玻色-费米相互作用下,Peierls 相失去稳定性,导致坍缩相或分离相。我们发现光学晶格的主要功能是稳定 Peierls 相。此外,限制性谐振阱的存在引发了多样的物理行为,超越了单独捕获玻色子或费米子时所观察到的现象。值得注意的是,在吸引性玻色-费米相互作用下,绝缘相可能呈现费米子婚礼蛋糕状构型,反映了底层晶格势的动态特性。相反,对于排斥性相互作用,陷阱使 Peierls 相失稳,导致两物种分离。

英文摘要:

With the objective of simulating the physical behavior of electrons in a dynamic background, we investigate a cold atomic Bose-Fermi mixture confined in an optical lattice potential solely affecting the bosons. The bosons, residing in the deep superfluid regime, inherit the periodicity of the optical lattice, subsequently serving as a dynamic potential for the polarized fermions. Owing to the atom-phonon interaction between the fermions and the condensate, the coupled system exhibits a Berezinskii-Kosterlitz-Thouless transition from a Luttinger liquid to a Peierls phase. However, under sufficiently strong Bose-Fermi interaction, the Peierls phase loses stability, leading to either a collapsed or a separated phase. We find that the primary function of the optical lattice is to stabilize the Peierls phase. Furthermore, the presence of a confining harmonic trap induces a diverse physical behavior, surpassing what is observed for either bosons or fermions individually trapped. Notably, under attractive Bose-Fermi interaction, the insulating phase may adopt a fermionic wedding-cake-like configuration, reflecting the dynamic nature of the underlying lattice potential. Conversely, for repulsive interaction, the trap destabilizes the Peierls phase, causing the two species to separate.

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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