Driven Open Quantum Systems and Floquet Stroboscopic Dynamics

  • S. Restrepo /
  • J. Cerrillo /
  • V. M. Bastidas /
  • D. G. Angelakis /
  • T. Brandes
Journal ar
Physical Review Letters
  • Volumen: 117
  • Número: 25
  • Fecha: 16 December 2016
  • ISSN: 10797114 00319007
  • Source Type: Journal
  • DOI: 10.1103/PhysRevLett.117.250401
  • Document Type: Article
  • Publisher: American Physical
© 2016 American Physical Society.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 stroboscopic evolution of a family of observables under the influence of an effective static Hamiltonian is proposed, which constitutes a flexible simulation procedure of nontrivial Hamiltonians. We instantiate 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.

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