Driven-dissipative ising model: mean field solution

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.

5 pages, 3 figures

References in corpus (6)

• Evidence for a dynamic phase transition in [Co/Pt]_3 magnetic multilayers
• Absence of First-order Transition and Tri-critical Point in the Dynamic Phase Diagram of a Spatially Extended Bistable System in an Oscillating Field
• Exact results for curvature-driven coarsening in two dimensions
• Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model
• Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
• Geometric properties of two-dimensional coarsening with weak disorder

Cited by in corpus (12)

• Atomic quantum gases in periodically driven optical lattices
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Multicritical behavior in dissipative Ising models
• Driven dissipative dynamics and topology of quantum impurity systems
• High-temperature nonequilibrium Bose condensation induced by a hot needle
• Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
• On the number of Bose-selected modes in driven-dissipative ideal Bose gases
• Geometric frustration produces long-sought Bose metal phase of quantum matter
• Landau Theory for Non-Equilibrium Steady States
• Bath-engineering magnetic order in quantum spin chains: An analytic mapping approach
• Mapping repulsive to attractive interaction in driven-dissipative quantum systems
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain