# Effects of quantum fluctuations on the dynamics of dipolar Bose polarons

## TL;DR

This paper investigates how quantum fluctuations influence the behavior of dipolar Bose polarons, analyzing density profiles, oscillations, and corrections to physical properties using theoretical and numerical methods.

## Contribution

It introduces a comprehensive analysis of quantum fluctuation effects on dipolar Bose polarons with new theoretical calculations and numerical simulations.

## Key findings

- Quantum fluctuations significantly affect impurity dynamics.
- Dipole-dipole interactions alter oscillation frequencies.
- Corrections to chemical potential and condensate radius are quantified.

## Abstract

We study the dynamics of dipolar Bose polarons in the presence of the normal and anomalous fluctuations using the time-dependent Hartree-Fock-Bogoliubov theory. The density profiles of the condensate, the anomalous component and the impurity are deeply analyzed. The time evolution of the width and the center-of-mass oscillation of such quantities is also highlighted. We calculate corrections due to quantum fluctuations and impurity to the chemical potential and the radius of the condensate and of the anomalous component in the weak coupling regime using the Thomas-Fermi approximation. Effects of the dipole-dipole interaction, impurity-host interaction and the anomalous fluctuation on the width and on the breathing frequencies of the impurity are discussed by variational and numerical means.