Exact Floquet dynamics of strongly damped driven quantum systems
Abstract
We present an approach for efficiently simulating strongly damped quantum systems subjected to periodic driving, employing a periodic matrix product operator representation of the influence functional. This representation enables the construction of a numerically exact Floquet propagator that captures the non-Markovian open system dynamics, thus providing a dissipative analogue to the Floquet Hamiltonian of driven isolated quantum systems. We apply this method to study the asymptotic heating of a reservoir in spin-boson models, characterizing the deviation from equilibrium conditions. Moreover, we show how a local driving of two qubits can be utilized to stabilize a transient entanglement buildup of the qubits originating from the interaction with a common environment. Our results make it possible to directly study both stationary and transient dynamics of strongly damped and driven quantum systems within a transparent theoretical and numerical framework.
Cite
@article{arxiv.2511.08754,
title = {Exact Floquet dynamics of strongly damped driven quantum systems},
author = {Konrad Mickiewicz and Valentin Link and Walter T. Strunz},
journal= {arXiv preprint arXiv:2511.08754},
year = {2026}
}