Driven-dissipative ising model: mean field solution

TL;DR

This paper investigates the driven-dissipative Ising model using a Floquet mean field approach, revealing how periodic driving and bath engineering can alter phase transition properties and induce phase changes.

Contribution

It introduces a Floquet mean field method to analyze non-equilibrium steady states of the driven-dissipative Ising model, showing control over phase transitions and magnetic order.

Findings

Drive can increase the critical temperature.

Critical exponents can be modified by the drive.

Phase transition nature can change from second to first order.

Abstract

We study the fate of the Ising model and its universal properties when driven by a rapid periodic drive and weakly coupled to a bath at equilibrium. The far from equilibrium steady-state regime of the system is accessed by means of a Floquet mean field approach. We show that, depending on the details of the bath, the drive can strongly renormalize the critical temperature to higher temperatures, modify the critical exponents, or even change the nature of the phase transition from second to first order after the emergence of a tricritical point. Moreover, by judiciously selecting the frequency of the field and by engineering the spectrum of the bath, one can drive a ferromagnetic Hamiltonian to an antiferromagnetically ordered phase and vice-versa.