A matrix product operator approach to non-equilibrium Floquet steady states

Abstract

We present a numerical method to simulate non-equilibrium Floquet steady states of one-dimensional periodically-driven (Floquet) many-body systems coupled to a dissipative bath, called open-system Floquet DMRG (OFDMRG). This method is based on a matrix product operator ansatz for the Floquet density matrix in frequency-space, and enables access to large systems beyond the reach of exact master-equation or quantum trajectory simulations, while retaining information about the periodic micro-motion in Floquet steady states. An excited-state extension of this technique also allows computation of the dynamical approach to the steady state on asymptotically long timescales. We benchmark the OFDMRG approach with a driven-dissipative Ising model, and apply it to study the possibility of dissipatively stabilizing pre-thermal discrete time-crystalline order by coupling to a cold bath.

6+7 pages, 3+1 figures

References in corpus (10)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Area laws in quantum systems: mutual information and correlations
• Equilibrium states of generic quantum systems subject to periodic driving
• Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• Bounds in Nonequilibrium Quantum Dynamics
• Completely positive approximate solutions of driven open quantum systems
• High-frequency expansions for time-periodic Lindblad generators

Cited by in corpus (2)

• Characterizing a non-equilibrium phase transition on a quantum computer
• Optimizing Floquet engineering for non-equilibrium steady states with gradient-based methods