Low-Dimensional Self-Bound Quantum Rabi-Coupled Bosonic Droplets

TL;DR

This paper analytically investigates how quantum fluctuations and Rabi coupling influence the formation and stability of self-bound Bose-Bose droplets in low-dimensional systems, revealing conditions for quantum instability.

Contribution

It provides the first analytical calculation of quantum corrections in Rabi-coupled Bose mixtures, elucidating their role in droplet formation and stability in one and two dimensions.

Findings

Quantum fluctuations promote droplet formation in repulsive-intraspecies and attractive-interspecies interactions.

Rabi coupling significantly affects droplet stability, leading to quantum instabilities.

Derived formulas describe droplet phases specifically in one-dimensional systems.

Abstract

We analytically calculate the leading quantum corrections of the ground-state energy of two- and one-dimensional weakly interacting Rabi-coupled Bose-Bose mixtures in the frame of the Bogoliubov approximation. We show that to repulsive intraspecies and attractive interspecies interactions, the effect of quantum fluctuations favors the formation of self-bound droplets. These liquidlike states are crucially affected by the Rabi coupling, leading thus to the appearance of a quantum instability. We derive meaningful formulas to describe the droplet phase in the one-dimensional case.