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High-frequency expansions for time-periodic Lindblad generators
- Source :
- Phys. Rev. B 104, 165414 (2021)
- Publication Year :
- 2021
-
Abstract
- 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 a Markovian master equation of Lindblad type turns out to be non-trivial: 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 Linbladian) is numerically found to exist, this behaviour 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.
- Subjects :
- Quantum Physics
Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 104, 165414 (2021)
- Publication Type :
- Report
- Accession number :
- edsarx.2107.10054
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.104.165414