Generalized energy and time-translation invariance in a driven, dissipative system

Abstract

Driven condensed matter systems consistently pose substantial challenges to theoretical understanding. Progress in the study of such systems has been achieved using the Floquet formalism, but certain aspects of this approach are not well understood. In this paper, we consider the exceptionally simple case of the rotating Kekulé mass in graphene through the lens of Floquet theory. We show that the fact that this problem is gauge-equivalent to a time-independent problem implies that the "quasi-energies" of Floquet theory correspond to a continuous symmetry of the full time-dependent Lagrangian. We use the conserved Noether charge associated with this symmetry to recover notions of equilibrium statistical mechanics.

Minor edits to introduction, with added citations

References in corpus (6)

• Photonic Floquet Topological Insulators
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Driven quantum transport on the nanoscale
• Many-body energy localization transition in periodically driven systems
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties

Cited by in corpus (17)

• Periodic thermodynamics of isolated systems
• Occupation of topological Floquet bands in open systems
• Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
• Effective Floquet-Gibbs states for dissipative quantum systems
• Floquet systems coupled to particle reservoirs
• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
• Topological gaps without masses in driven graphene-like systems
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Floquet topological phases coupled to environments and the induced photocurrent
• Long time asymptotic state of periodically driven open quantum systems
• Floquet-state cooling
• Periodically-driven Kondo impurity in nonequilibrium steady states
• Stabilization of prethermal Floquet steady states in a periodically driven dissipative Bose-Hubbard model
• Photon-Induced Suppression of Interlayer Tunneling in Van Der Waals Heterostructures
• Bose-Einstein condensation in a frustrated triangular optical lattice
• Floquet systems with continuous dynamical symmetries: characterization, time-dependent Noether charge, and solvability
• Occupation Dynamics of Floquet-Volkov States and Spectral Sum Rule