Driven open quantum systems and Floquet stroboscopic 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.
Cite
@article{arxiv.1606.08392,
title = {Driven open quantum systems and Floquet stroboscopic dynamics},
author = {Sebastian Restrepo and Javier Cerrillo and Victor Manuel Bastidas and Dimitris G. Angelakis and Tobias Brandes},
journal= {arXiv preprint arXiv:1606.08392},
year = {2017}
}
Comments
Corrected minor typos in references