Entangling Lattice-Trapped Bosons with a Free Impurity: Impact on Stationary and Dynamical Properties

Abstract

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 single-particle 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.

A Unified Explanation of Some Quantum Phenomena

“…Because thousands or more studies have investigated the above quantum phenomena, we searched the literature using a group of six key words: splitter (or tunnel, double slit, or two slit), composite system, entangled state, approximate (or approximation), product state, and mixed state. We only found one related publication [52], and it does not contain a discussion similar to ours.…”

A unified, more intuitive explanation of some quantum phenomena

“…Because thousands or more studies have investigated the above quantum phenomena, we searched the literature using a group of six key words: splitter (or tunnel, double slit, or two slit), composite system, entangled state, approximate (or approximation), product state, and mixed state. We only found one related publication [27], and it does not contain a discussion similar to ours.…”

Mobile impurities interacting with a few one-dimensional lattice bosons

“…In particular, the binding energies of one and two fermionic impurities in one-dimensional lattices have been recently studied with the density-matrix renormalization group (DMRG) [64], which can be potentially examined experimentally with spectroscopy measurements [11]. In addition, and as an alternative to Hubbard models, impurities in small lattices have been studied using Hamiltonians with oscillatory potentials [65,66], particularly to study the effect of shallow optical potentials and entanglement properties [66][67][68].…”