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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用杂质掺杂晶格俘获玻色子物质：从基态特性到相关隧道动力学

我们研究了由杂质物质和有限尺寸介质组成的晶格俘获玻色子混合物的基态特性和非平衡动力学。对于一种和两种杂质的情况，我们观察到，根据晶格深度和种间相互作用强度，会发生从强烈离域到局部杂质分布的转变。在后一种情况下，两种物质相分离，从而形成粒子-空穴对。对于两种杂质，我们发现在临界晶格深度以下，它们在两个相邻的外晶格阱之间离域，并且是双体相关的。这种转变的特点是从强到受抑制的种间纠缠的交叉，以增加杂质介质排斥。转向混合物的动态响应，在将种间排斥力淬灭到较小的值后，我们发现单个杂质的主要隧穿过程对应于粒子-空穴对的隧穿过程，其动力学稳定性在很大程度上取决于淬灭幅度。在时间演化过程中，观察到种间纠缠显着增加，这是由状态叠加的积累引起的，因此具有多体性质。在两种玻色子杂质的情况下，粒子-空穴对过程在动力学过程中变得不稳定，杂质聚集在相邻的晶格位置，同时具有很强的相关性。在时间演化过程中，观察到种间纠缠显着增加，这是由状态叠加的积累引起的，因此具有多体性质。在两种玻色子杂质的情况下，粒子-空穴对过程在动力学过程中变得不稳定，杂质聚集在相邻的晶格位置，同时具有很强的相关性。在时间演化过程中，观察到种间纠缠显着增加，这是由状态叠加的积累引起的，因此具有多体性质。在两种玻色子杂质的情况下，粒子-空穴对过程在动力学过程中变得不稳定，杂质聚集在相邻的晶格位置，同时具有很强的相关性。