Mean-field construction for spectrum of one-dimensional Bose polaron

Galyna Panochko; Volodymyr Pastukhov

doi:10.1016/j.aop.2019.167933

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arXiv · 1903.05953

Mean-field construction for spectrum of one-dimensional Bose polaron

Galyna Panochko·Volodymyr Pastukhov

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Abstract

The full momentum dependence of spectrum of a point-like impurity immersed in a dilute one-dimensional Bose gas is calculated on the mean-field level. In particular we elaborate, to the finite-momentum Bose polaron, the path-integral approach whose semi-classical approximation leads to the conventional mean-field treatment of the problem while quantum corrections can be easily accounted by standard loop expansion techniques. The extracted low-energy parameters of impurity spectrum, namely, the binding energy and the effective mass of particle, are shown to be in qualitative agreement with the results of quantum Monte Carlo simulations.

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Galyna Panochko, Volodymyr Pastukhov. 2019-03-14. Mean-field construction for spectrum of one-dimensional Bose polaron. https://doi.org/10.1016/j.aop.2019.167933

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