The transition from Bose-Einstein condensate to supersolid states in Rydberg-dressed gases beyond Bogoliubov approximation

TL;DR

This paper investigates the phase transition from Bose-Einstein condensate to supersolid in Rydberg-dressed gases using a mean-field approach, revealing a second-order quantum phase transition influenced by finite-range interactions.

Contribution

It introduces an analytical framework for thermodynamic properties of Rydberg-dressed Bose gases considering finite-range interactions and predicts a quantum phase transition to supersolidity.

Findings

Identification of roton mode instability indicating supersolid formation

Analytical expressions for thermodynamic quantities of Rydberg-dressed Bose gas

Prediction of a second-order quantum phase transition from BEC to supersolid

Abstract

In this paper, we study Bose-Einstein condensation of Rydberg-dressed atoms considering finite range interactions. We use Hartree-Fock-Bogoliubov approximation based on Mean-Field approach. Moreover, within this approximation modified by the finite-range character of the two-body interaction we shall obtain analytical expressions for thermodynamic quantities of Rydberg-dressed Bose gas. The imaginary part of the quasiparticle spectrum of a BEC signals the instability of the roton mode with respect to the formation of supersolid state. Our theory predicts a second-order quantum phase transition from BEC to supersolid phase for Rydberg-dressed bosons in three dimensions.