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Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit (2003.12371v2)

Published 27 Mar 2020 in math-ph, cond-mat.quant-gas, and math.MP

Abstract: We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fr\"ohlich polaron model.

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