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arXiv 2004.12719cond-mat.quant-gas
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掺杂晶格俘获玻色子:从基态性质到相关隧穿动力学

Doping a lattice-trapped bosonic species with impurities: From ground state properties to correlated tunneling dynamics

Kevin Keiler, Simeon I. Mistakidis, Peter Schmelcher

摘要:

本文研究了由杂质和有限尺寸介质组成的晶格俘获玻色子混合物的基态性质和非平衡动力学。对于一个以及两个杂质的情况下,我们观察到,根据晶格深度和种间相互作用强度,从强烈的离域到本地化的杂质分布的过渡发生。在后一种情况下,两种物质相分离,从而形成粒子-空穴对。对于两个杂质,我们发现,低于一个临界晶格深度,他们是离域的两个相邻的外晶格阱之间,是两体相关。这种转变的特点是由交叉从强到抑制物种间纠缠增加杂质介质排斥。转向混合物的动力学响应,在淬灭物种间的排斥到较小的值,我们揭示了一个单一的杂质的主要隧穿过程对应于一个粒子-空穴对,其动力学稳定性强烈依赖于淬灭振幅。在时间演化过程中,观察到种间纠缠的显著增加,这是由叠加态的建立引起的,因此具有多体性质。在两个玻色子杂质的情况下,粒子-空穴对过程变得不稳定的过程中的动态与杂质聚集在相邻的晶格位置,而强相关。

英文摘要:

We investigate the ground state properties and the nonequilibrium dynamics of a lattice trapped bosonic mixture consisting of an impurity species and a finite-sized medium. For the case of one as well as two impurities we observe that, depending on the lattice depth and the interspecies interaction strength, a transition from a strongly delocalized to a localized impurity distribution occurs. In the latter regime the two species phase separate, thereby forming a particle-hole pair. For two impurities we find that below a critical lattice depth they are delocalized among two neighboring outer lattice wells and are two-body correlated. This transition is characterized by a crossover from strong to a suppressed interspecies entanglement for increasing impurity-medium repulsion. Turning to the dynamical response of the mixture, upon quenching the interspecies repulsion to smaller values, we reveal that the predominant tunneling process for a single impurity corresponds to that of a particle-hole pair, whose dynamical stability depends strongly on the quench amplitude. During the time-evolution a significant increase of the interspecies entanglement is observed, caused by the build-up of a superposition of states and thus possesses a many-body nature. In the case of two bosonic impurities the particle-hole pair process becomes unstable in the course of the dynamics with the impurities aggregating in adjacent lattice sites while being strongly correlated.

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