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arXiv 2403.04830cond-mat.quant-gascond-mat.dis-nncond-mat.stat-mechcond-mat.str-elquant-ph
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准晶超冷费米子对偶极相互作用的稳定性

Stability of quasicrystalline ultracold fermions to dipolar interactions

Paolo Molignini

AI总结:

本文研究准周期光晶格中超冷偶极费米子的稳定性,发现偶极相互作用可稳定中间相、压缩扩展相,并在强相互作用下产生类共振密度振荡,甚至无需准周期性即可实现局域化。

摘要:

准周期势可用于在一维中实现局域化与退局域化之间的过渡。随着工程化偶极相互作用的光学平台兴起,一个关键问题是准晶相在这些长程相互作用下的稳定性。本工作研究准周期光学晶格中的排斥性超冷偶极费米子,以刻画相互作用准晶的行为。我们模拟了用于探测准晶序和局域化性质的典型实验协议的完整时间演化。我们提取实验可测的动力学观测量和关联函数,以刻画非相互作用情形下观察到的三种相:局域相、中间相和扩展相。随后研究这些相对排斥性偶极相互作用的稳定性。我们发现偶极相互作用可以通过稳定中间相完全改变相图的形状,且主要以扩展相的缩小为代价。此外,在强相互作用区域,出现了一种以密度振荡为特征的类共振行为。值得注意的是,如果主晶格足够深,即使没有准周期性,强偶极排斥也能使粒子局域化。我们的工作表明,准周期势中的偶极相互作用可以产生局域量子态与扩展量子态的复杂且可调谐的共存。

英文摘要:

Quasiperiodic potentials can be used to interpolate between localization and delocalization in one dimension. With the rise of optical platforms engineering dipolar interactions, a key question is the stability of quasicrystalline phases under these long-range interactions. In this work, we study repulsive ultracold dipolar fermions in a quasiperiodic optical lattice to characterize the behavior of interacting quasicrystals. We simulate the full time evolution of the typical experimental protocols used to probe quasicrystalline order and localization properties. We extract experimentally measurable dynamical observables and correlation functions to characterize the three phases observed in the noninteracting setting: localized, intermediate, and extended. We then study the stability of such phases to repulsive dipolar interactions. We find that dipolar interactions can completely alter the shape of the phase diagram by stabilizing the intermediate phase, mostly at the expense of the extended phase. Moreover, in the strongly interacting regime, a resonance-like behavior characterized by density oscillations appears. Remarkably, strong dipolar repulsions can also localize particles even in the absence of quasiperiodicity if the primary lattice is sufficiently deep. Our work shows that dipolar interactions in a quasiperiodic potential can give rise to a complex, tuneable coexistence of localized and extended quantum states.

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