Bosonic impurity in a one-dimensional quantum droplet in the Bose-Bose mixture

TL;DR

This paper investigates how a bosonic impurity interacts with a one-dimensional quantum droplet in a Bose-Bose mixture, revealing bound states and nonlinear modes influenced by quantum fluctuations, which could serve as probes for droplet properties.

Contribution

It introduces a model for impurity-bound states in a quantum droplet within a Bose-Bose mixture, highlighting the effects of quantum fluctuations and strong coupling regimes.

Findings

Effective attractive potential from the droplet influences impurity bound states.

Impurity bound states can serve as probes for quantum fluctuation effects.

Strong coupling leads to nonlinear local modes on the impurity.

Abstract

We study an impurity immersed in the mixture of Bose ultracold gases in the regime where a quantum droplet exists. The quasi-one-dimensional geometry is considered. We find an effective attractive potential that acts by the quantum droplet onto the impurity. The bound states of the impurity in this potential are investigated. These impurity bound states can provide potential probes for the presence of quantum fluctuations effects on the droplet properties. In the case of strong impurity-BEC coupling, we study the properties of the nonlinear local modes on the impurity induced by the quantum fluctuations.