Superfluid-Mott insulator quantum phase transition in a cavity optomagnonic system

TL;DR

This paper investigates the superfluid-Mott insulator quantum phase transition in a cavity optomagnonic array, providing analytical and numerical insights into how coupling strength and detuning affect phase stability, with implications for quantum simulation.

Contribution

It presents the first analytical solution for the critical hopping rate in a cavity optomagnonic array and explores the effects of system parameters on quantum phase transitions.

Findings

Increasing coupling strength favors coherence and compresses Mott lobes.

Positive detunings of photon and magnon enhance coherence.

Analytical results align with numerical simulations at low excitation numbers.

Abstract

The emerging hybrid cavity optomagnonic system is a very promising quantum information processing platform for its strong or ultrastrong photon-magnon interaction on the scale of micrometers in the experiment. In this paper, the superfluid-Mott insulator quantum phase transition in a two-dimensional cavity optomagnonic array system has been studied based on this characteristic. The analytical solution of the critical hopping rate is obtained by the mean field approach, second perturbation theory and Landau second order phase transition theory. The numerical results show that the increasing coupling strength and the positive detunings of the photon and the magnon favor the coherence and then the stable areas of Mott lobes are compressed correspondingly. Moreover, the analytical results agree with the numerical ones when the total excitation number is lower. Finally, an effective repulsive potential is constructed to exhibit the corresponding mechanism. The results obtained here provide an experimentally feasible scheme for characterizing the quantum phase transitions in a cavity optomagnonic array system, which will offer valuable insight for quantum simulations.