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arXiv · 1911.05353

Induced correlations between impurities in a one-dimensional quenched Bose gas

S. I. Mistakidis·A. G. Volosniev·P. Schmelcher
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Abstract

We explore the time evolution of two impurities in a trapped one-dimensional Bose gas that follows a change of the boson-impurity interaction. We study the induced impurity-impurity interactions and their effect on the quench dynamics. In particular, we report on the size of the impurity cloud, the impurity-impurity entanglement, and the impurity-impurity correlation function. The presented numerical simulations are based upon the variational multilayer multiconfiguration time-dependent Hartree method for bosons. To analyze and quantify induced impurity-impurity correlations, we employ an effective two-body Hamiltonian with a contact interaction. We show that the effective model consistent with the mean-field attraction of two heavy impurities explains qualitatively our results for weak interactions. Our findings suggest that the quench dynamics in cold-atom systems can be a tool for studying impurity-impurity correlations.

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S. I. Mistakidis, A. G. Volosniev, P. Schmelcher. 2019-11-13. Induced correlations between impurities in a one-dimensional quenched Bose gas. https://doi.org/10.1103/physrevresearch.2.023154

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