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  High-frequency expansions for time-periodic Lindblad generators

Schnell, A., Denisov, S., & Eckardt, A. (2021). High-frequency expansions for time-periodic Lindblad generators. Physical Review B, 104(16): 165414. doi:10.1103/PhysRevB.104.165414.

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 Urheber:
Schnell, Alexander1, Autor           
Denisov, Sergey1, Autor           
Eckardt, André1, Autor           
Affiliations:
1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Time dependent processes
 Zusammenfassung: Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian, which describes the stroboscopic evolution of a periodically driven quantum system in steps of the driving period and which is routinely obtained analytically using high-frequency expansions. The generalization of these concepts to open quantum systems described by aMarkovian master equation of Lindblad type turns out to be nontrivial: On the one hand, already for a two-level system two different phases can be distinguished, where the effective time-independent Floquet generator (describing the stroboscopic evolution) is either again Markovian and of Lindblad type or not. On the other hand, even though in the high-frequency regime a Lindbladian Floquet generator (Floquet Lindbladian) is numerically found to exist, this behavior is, curiously, not correctly reproduced within analytical high-frequency expansions. Here, we demonstrate that a proper Floquet Lindbladian can still be obtained from a high-frequency expansion, when treating the problem in a suitably chosen rotating frame. Within this approach, we can then also describe the transition to a phase at lower driving frequencies, where no Floquet Lindbladian exists, and show that the emerging non-Markovianity of the Floquet generator can entirely be attributed to the micromotion of the open driven system.

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 Datum: 2021-10-152021-10-15
 Publikationsstatus: Erschienen
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 Identifikatoren: ISI: 000707475100002
DOI: 10.1103/PhysRevB.104.165414
arXiv: 2107.10054
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Titel: Physical Review B
  Kurztitel : Phys. Rev. B
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Woodbury, NY : American Physical Society
Seiten: - Band / Heft: 104 (16) Artikelnummer: 165414 Start- / Endseite: - Identifikator: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008