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

• URL: http://arxiv.org/abs/2206.07740v1
• Date: Wed, 15 Jun 2022 18:11:27 GMT
• Title: A matrix product operator approach to non-equilibrium Floquet steady states
• Authors: Zihan Cheng and Andrew C. Potter
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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