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Driven open quantum systems and floquet stroboscopic dynamics

Restrepo Sebastian, Cerrillo Javier, Bastidas Victor Manuel, Aggelakis Dimitrios, Brandes Tobias Scott

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URI: http://purl.tuc.gr/dl/dias/733A6325-46D8-48D6-B459-6B754E4F67DB
Year 2016
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation S. Restrepo, J. Cerrillo, V. M. Bastidas, D. G. Angelakis and T. Brandes, "Driven open quantum systems and floquet stroboscopic dynamics," Phys. Rev. Lett., vol. 117, no. 25, Dec. 2016. doi: 10.1103/PhysRevLett.117.250401 https://doi.org/10.1103/PhysRevLett.117.250401
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Summary

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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