Polarons in supersolids: path-integral treatment of an impurity in a one-dimensional dipolar supersolid

Laurent H. A. Simons; Michiel Wouters; Jacques Tempere

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arXiv · 2407.03505

Polarons in supersolids: path-integral treatment of an impurity in a one-dimensional dipolar supersolid

Laurent H. A. Simons·Michiel Wouters·Jacques Tempere

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Abstract

The supersolid phase of a dipolar Bose-Einstein condensate has an intriguing excitation spectrum displaying a band structure. Here, the dressing of an impurity in a one-dimensional dipolar supersolid with the excitations of the supersolid is studied. The ground-state energy of the supersolid polaron is calculated using a variational path integral approach, which obtained accurate results for other polaron systems within the Bogoliubov and Fr\"ohlich approximations. A divergence is observed at the superfluid-supersolid phase transition. The polaron radius is also computed, showing that as a function of impurity-atom interactions, the polaron can become localized to a single droplet, behaving like a small solid-state polaron.

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Laurent H. A. Simons, Michiel Wouters, Jacques Tempere. 2024-07-03. Polarons in supersolids: path-integral treatment of an impurity in a one-dimensional dipolar supersolid. https://arxiv.org/abs/2407.03505

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