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arXiv · 1912.10008

Strong-coupling Bose polarons in 1D: Condensate deformation and modified Bogoliubov phonons

Jonas Jager·Ryan Barnett·Martin Will·Michael Fleischhauer
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Abstract

We discuss the interaction of a quantum impurity with a one-dimensional degenerate Bose gas forming a Bose-polaron. In three spatial dimensions the quasiparticle is typically well described by the extended Fr\"ohlich model, in full analogy with the solid-state counterpart. This description, which assumes an undepleted condensate, fails however in 1D, where the backaction of the impurity on the condensate leads to a self-bound mean-field polaron for arbitrarily weak impurity-boson interactions. We present a model that takes into account this backaction and describes the impurity-condensate interaction as coupling to phonon-like excitations of a deformed condensate. A comparison of polaron energies and masses to diffusion quantum Monte-Carlo simulations shows very good agreement already on the level of analytical mean-field solutions and is further improved when taking into account quantum fluctuations.

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Jonas Jager, Ryan Barnett, Martin Will, Michael Fleischhauer. 2019-12-20. Strong-coupling Bose polarons in 1D: Condensate deformation and modified Bogoliubov phonons. https://doi.org/10.1103/physrevresearch.2.033142

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