Journal
PHYSICAL REVIEW RESEARCH
Volume 2, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.2.023154
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Funding
- Deutsche Forschungsgemeinschaft (DFG) [SFB 925, 413495248 [VO 2437/1-1]]
- European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie [754411]
- framework of the Lenz-Ising Award of the Department of Physics of the University of Hamburg
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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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