Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium

Tajima, Hiroyuki; Takahashi, Junichi; Mistakidis, Simeon I.; Nakano, Eiji; Iida, Kei

doi:10.48550/arxiv.2101.07643

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“…In this work by considering an impurity in a box potential and a lattice trapped few-body medium we examine how the latter affects the impurity's spatial distribution by means of (de-)localization for different lattice depths and intercomponent interactions. Indeed, a lat-tice trapped medium can reside either in a superfluid or an insulating-like phase [45], a fact that is expected to crucially impact the impurity's configuration and vice versa [58]. To address the ground state properties and quantum quench dynamics of the above-discussed impurity setting we utilize the multi-layer multi-configuration time-dependent Hartree method for atomic mixtures (ML-MCTDHX) [59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Entangling lattice-trapped bosons with a free impurity: impact on stationary and dynamical properties

Pyzh,

Keiler,

Mistakidis

et al. 2021

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We address the interplay of few lattice trapped bosons interacting with an impurity atom in a box potential. For the ground state, a classification is performed based on the fidelity allowing to quantify the susceptibility of the composite system to structural changes due to the intercomponent coupling. We analyze the overall response at the many-body level and contrast it to the singleparticle level. By inspecting different entropy measures we capture the degree of entanglement and intraspecies correlations for a wide range of intra-and intercomponent interactions and lattice depths. We also spatially resolve the imprint of the entanglement on the one-and two-body density distributions showcasing that it accelerates the phase separation process or acts against spatial localization for repulsive and attractive intercomponent interactions respectively. The many-body effects on the tunneling dynamics of the individual components, resulting from their counterflow, are also discussed. The tunneling period of the impurity is very sensitive to the value of the impurity-medium coupling due to its effective dressing by the few-body medium. Our work provides implications for engineering localized structures in correlated impurity settings using species selective optical potentials.

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