Long time asymptotic state of periodically driven open quantum systems

Abstract

We investigate a long time asymptotic state of periodically driven open quantum systems analytically. The model we consider in this paper is a free fermionic system coupled to an energy and particle reservoir. We clarify some generic properties of the system which are independent of the details of the reservoir in the high frequency regime of the external driving. When the frequency of the external driving is much larger than the energy cutoff of the system-reservoir coupling, the low-energy properties of the system are equivalent to those of the Gibbs distribution of a Floquet effective Hamiltonian. Furthermore, we investigate the effect of finite dissipation on the system, and elucidate that we cannot suppress excitations by merely increasing the system-reservoir coupling because the excitations are created through the reservoir by the external driving when the frequency is smaller than the energy cutoff of the system-reservoir coupling.

arXiv comment5 pages, 1 figure

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Cited by in corpus (13)

• Floquet States in Open Quantum Systems
• Steady states and edge state transport in topological Floquet-Bloch systems
• Perturbative approach to weakly driven many-particle systems in the presence of approximate conservation laws
• Exact solution of time-dependent Lindblad equations with closed algebras
• Heating in integrable time-periodic systems
• Kinetics and thermodynamics of a driven open quantum system
• Dissipative preparation of many-body Floquet Chern insulators
• Many-body dynamics and gap opening in interacting periodically driven systems
• Exact results in Floquet coin toss for driven integrable models
• Electronic Floquet Liquid Crystals
• Quantum state engineering by periodical two-step modulation in atomic system
• Stabilization of prethermal Floquet steady states in a periodically driven dissipative Bose-Hubbard model
• The open driven two-level system at conical intersections of quasienergies