Floquet systems coupled to particle reservoirs

Abstract

Open quantum systems, when driven by a periodic field, can relax to effective statistical ensembles that resemble their equilibrium counterparts. We consider a class of problems in which a periodically- driven quantum system is allowed to exchange both energy and particles with a thermal reservoir. We demonstrate that, even for noninteracting systems, effective equilibration to the grand canonical ensemble requires both fine tuning the system-bath coupling and selecting a sufficiently simple driving protocol. We study a tractable subclass of these problems in which the long-time steady state of the system can be determined analytically, and demonstrate that the system effectively thermalizes with fine tuning, but does not thermalize for general values of the system-bath couplings. When the driven system does not thermalize, it supports a tunable persistent current in the steady state without external bias. We compute this current analytically for two examples of interest: 1) a driven double quantum dot, where the current is interpreted as a DC electrical current, and 2) driven Dirac fermions in graphene, where it is interpreted as a valley current.

arXiv comment15 pages, 6 figures; Revised version includes small changes. Note title change (in response to referees' comments)

References in corpus (35)

• Experimental realisation of the topological Haldane model
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Scattering approach to parametric pumping
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Driven quantum transport on the nanoscale
• An Adiabatic Quantum Electron Pump
• Equilibrium states of generic quantum systems subject to periodic driving
• Long-time behavior of periodically driven isolated interacting lattice systems
• Superfluid-insulator transition in a periodically driven optical lattice
• Electron fractionalization in two-dimensional graphenelike structures
• Periodically driven ergodic and many-body localized quantum systems
• Floquet Fractional Chern Insulator in Doped Graphene
• Many-body energy localization transition in periodically driven systems
• Floquet-Markov description of the parametrically driven, dissipative harmonic quantum oscillator
• Dissipative Floquet Topological Systems
• Statistical mechanics of Floquet systems: the pervasive problem of near degeneracies
• Current Noise in ac-Driven Nanoscale Conductors
• Driven Electronic States at the Surface of a Topological Insulator
• Laser controlled molecular switches and transistors
• Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
• Accurate effective Hamiltonians via unitary flow in Floquet space
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
• Stochastic thermodynamics of rapidly driven systems
• Statistical mechanics of Floquet systems with regular and chaotic states
• Energy flow in periodic thermodynamics
• Charge transport through a molecule driven by a high-frequency field
• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• Photo-induced superconductivity in semiconductors
• Topological gaps without masses in driven graphene-like systems
• Generalized energy and time-translation invariance in a driven, dissipative system

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• Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
• Occupation of topological Floquet bands in open systems
• Floquet States in Open Quantum Systems
• Steady states and edge state transport in topological Floquet-Bloch systems
• Floquet analysis of a quantum system with modulated periodic driving
• Floquet band structure of a semi-Dirac system
• Effects of interactions on periodically driven dynamically localized systems
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Floquet theorem for open systems and its applications
• Steady state of interacting Floquet insulators
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Polarization as a tuning parameter for Floquet engineering: magnetism in the honeycomb, square, and triangular Mott insulators
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Floquet topological phases coupled to environments and the induced photocurrent
• Periodic thermodynamics of the Rabi model with circular polarization for arbitrary spin quantum numbers
• Long time asymptotic state of periodically driven open quantum systems
• Semiclassical dynamics of electrons in space-time crystal: Magnetization, polarization, and current response
• Electronic Floquet Liquid Crystals
• Quantum noise detects Floquet topological phases
• Floquet engineering the quantum Rabi model in the ultrastrong coupling regime
• Dynamical spin-to-charge conversion on the edge of quantum spin Hall insulator
• Floquet vortex states induced by light carrying the orbital angular momentum
• 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
• Defining a well-ordered Floquet basis by the average energy
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Periodic thermodynamics of a two spin Rabi model
• Quantum Metric-induced Oscillations in Flat Bands
• Occupation Dynamics of Floquet-Volkov States and Spectral Sum Rule