Driven open quantum systems and Floquet stroboscopic dynamics

TL;DR

This paper presents an exact analytic solution for driven open quantum systems under high-frequency driving, enabling detailed analysis of system-bath dynamics without relying on common approximations.

Contribution

It introduces a symmetry-based method to obtain the full time evolution operator, including bath effects, applicable to a broad class of driven-dissipative quantum systems.

Findings

Derived an explicit solution for system-bath dynamics under high-frequency drive.

Applied the method to the spin-boson model with time-dependent tunneling.

Demonstrated stroboscopic access to complex Hamiltonians and analyzed their dynamics.

Abstract

We provide an analytic solution to the problem of system-bath dynamics under the effect of high-frequency driving that has applications in a large class of settings, such as driven-dissipative many-body systems. Our method relies on discrete symmetries of the system-bath Hamiltonian and provides the time evolution operator of the full system, including bath degrees of freedom, without weak-coupling or Markovian assumptions. An interpretation of the solution in terms of the strobo- scopic evolution of a family of observables under the influence of an effective static Hamiltonian is proposed, which constitutes a flexible simulation procedure of non-trivial Hamiltonians. We instan- tiate the result with the study of the spin-boson model with time-dependent tunneling amplitude. We analyze the class of Hamiltonians that may be stroboscopically accessed for this example and illustrate the dynamics of system and bath degrees of freedom.