General description for nonequilibrium steady states in periodically driven dissipative quantum systems

Abstract

Laser technology has developed and accelerated photo-induced nonequilibrium physics from both scientific and engineering viewpoints. The Floquet engineering, i.e., controlling material properties and functionalities by time-periodic drives, is a forefront of quantum physics of light-matter interaction, but limited to ideal dissipationless systems. For the Floquet engineering extended to a variety of materials, it is vital to understand the quantum states emerging in a balance of the periodic drive and energy dissipation. Here we derive the general description for nonequilibrium steady states (NESS) in periodically driven dissipative systems by focusing on the systems under high-frequency drive and time-independent Lindblad-type dissipation with the detailed balance condition. Our formula correctly describes the time-average, fluctuation, and symmetry property of the NESS, and can be computed efficiently in numerical calculations. Our approach will play fundamental roles in Floquet engineering in a broad class of dissipative quantum systems such as atoms and molecules, mesoscopic systems, and condensed matter.

5 pages, 2 figures + supplemental

References in corpus (8)

• Photovoltaic Hall effect in graphene
• Equilibrium states of generic quantum systems subject to periodic driving
• Dissipative Floquet Topological Systems
• A time-dependent approach to electron pumping in open quantum systems
• Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
• Non-equilibrium phase transition in a periodically driven XY spin chain
• Charge transport through a molecule driven by a high-frequency field
• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems

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• Dynamical transitions in aperiodically kicked tight-binding models
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• Periodically Driven Open Quantum Systems: Spectral Properties and Non-Equilibrium Steady States
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• Topical review on acousto-optical Floquet engineering of single-photon emitters
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