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Periodically Driven Open Quantum Systems: Spectral Properties and Non-Equilibrium Steady States
- Source :
- Phys. Rev. B 109, 184309 (2024)
- Publication Year :
- 2023
-
Abstract
- In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and establish their general spectral features. We also clarify the notions of transient and non-decaying solutions from this spectral perspective, and then prove that any physical system described by a Floquet-Lindblad equation must have at least one \textit{physical} non-equilibrium steady state (NESS), corresponding to an eigenoperator of the Floquet-Lindblad evolution superoperator $\mathcal{U}_F$ with unit eigenvalue. Since the Floquet-Lindblad formalism encapsulates the entire information regarding the NESS, it in principle enables us to obtain non-linear effects to all orders at once. The Floquet-Lindblad formalism thus provides a powerful tool for studying driven-dissipative solid-state systems, which we illustrate by deriving the nonlinear optical response of a simple two-band model of an insulating solid and comparing it with prior results established through Keldysh techniques.<br />Comment: 19 pages, 2 figures
- Subjects :
- Quantum Physics
Condensed Matter - Mesoscale and Nanoscale Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 109, 184309 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2401.00131
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.109.184309