Occupation of topological Floquet bands in open systems

Abstract

Floquet topological insulators are noninteracting quantum systems that, when driven by a time-periodic field, are described by effective Hamiltonians whose bands carry nontrivial topological invariants. A longstanding question concerns the possibility of selectively populating one of these effective bands, thereby maximizing the system's resemblance to a static topological insulator. We study such Floquet systems coupled to a zero-temperature thermal reservoir that provides dissipation. We find that the resulting electronic steady states are generically characterized by a finite density of excitations above the effective ground state, even when the driving has a small amplitude and/or large frequency. We discuss the role of reservoir engineering in mitigating this problem.

10 pages, 3 figures; v2 contains updated references; v3 is revised and expanded

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Cited by in corpus (33)

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• Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
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• Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
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• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
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• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• Periodically-driven Kondo impurity in nonequilibrium steady states
• Transport through vertical graphene contacts under intense laser fields
• Transport properties of vertical heterostructures under light irradiation
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Optimizing Floquet engineering for non-equilibrium steady states with gradient-based methods
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Properties of dissipative Floquet Majorana modes using a quantum dot
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• Time-resolved ARPES and optical transport properties of irradiated twisted bilayer graphene in steady-state
• Occupation Dynamics of Floquet-Volkov States and Spectral Sum Rule
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization