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Is there a Floquet Lindbladian?
- Source :
- Phys. Rev. B 101, 100301 (2020)
- Publication Year :
- 2018
-
Abstract
- The stroboscopic evolution of a time-periodically driven isolated quantum system can always be described by an effective time-independent Hamiltonian. Whether this concept can be generalized to open Floquet systems, described by a Markovian master equation with time-periodic Lindbladian generator, remains an open question. By using a two level system as a model, we explicitly show the existence of two well-defined parameter regions. In one region the stroboscopic evolution can be described by a Markovian master equation with a time-independent Floquet Lindbladian. In the other it cannot; but here the one-cycle evolution operator can be reproduced with an effective non-Markovian master equation that is homogeneous but non-local in time. Interestingly, we find that the boundary between the phases depends on when the evolution is stroboscopically monitored. This reveals the non-trivial role played by the micromotion in the dynamics of open Floquet systems.
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 101, 100301 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.1809.11121
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.101.100301