@article{7919,
  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.},
  author       = {Mistakidis, S. I. and Volosniev, Artem and Schmelcher, P.},
  issn         = {2643-1564},
  journal      = {Physical Review Research},
  publisher    = {American Physical Society},
  title        = {{Induced correlations between impurities in a one-dimensional quenched Bose gas}},
  doi          = {10.1103/physrevresearch.2.023154},
  volume       = {2},
  year         = {2020},
}