Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths

Abstract

External driving is emerging as a promising tool for exploring new phases in quantum systems. The intrinsically non-equilibrium states that result, however, are challenging to describe and control. We study the steady states of a periodically driven one-dimensional electronic system, including the effects of radiative recombination, electron-phonon interactions, and the coupling to an external fermionic reservoir. Using a kinetic equation for the populations of the Floquet eigenstates, we show that the steady-state distribution can be controlled using the momentum and energy relaxation pathways provided by the coupling to phonon and Fermi reservoirs. In order to utilize the latter, we propose to couple the system and reservoir via an energy filter which suppresses photon-assisted tunneling. Importantly, coupling to these reservoirs yields a steady state resembling a band insulator in the Floquet basis. The system exhibits incompressible behavior, while hosting a small density of excitations. We discuss transport signatures, and describe the regimes where insulating behavior is obtained. Our results give promise for realizing Floquet topological insulators.

24 pages, 7 figures; with appendices

References in corpus (24)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Driven quantum transport on the nanoscale
• Irradiated graphene as a tunable Floquet topological insulator
• Periodically driven ergodic and many-body localized quantum systems
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Effective Theory of Floquet Topological Transitions
• Dissipative Floquet Topological Systems
• Scattering Theory for Floquet-Bloch States
• Occupation of topological Floquet bands in open systems
• Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
• Optical Control of Topological Quantum Transport in Semiconductors
• Statistical mechanics of Floquet systems with regular and chaotic states
• Magnetization signatures of light-induced quantum Hall edge states
• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
• Floquet systems coupled to particle reservoirs
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• Peltier cooling of fermionic quantum gases
• Thermalization mechanism for time-periodic finite isolated interacting quantum systems

Cited by in corpus (140)

• Atomic quantum gases in periodically driven optical lattices
• Nonthermal pathways to ultrafast control in quantum materials
• Selective scattering between Floquet-Bloch and Volkov states in a topological insulator
• Light-induced emergent phenomena in 2D materials and topological materials
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
• Strongly-Correlated Electron-Photon Systems
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Floquet topological transitions in a driven one-dimensional topological insulator
• Floquet second-order topological insulators from nonsymmorphic space-time symmetries
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• All-Optical Materials Design of Chiral Edge Modes in Transition-Metal Dichalcogenides
• Theory of photoinduced Floquet Weyl semimetal phases
• The fate of a discrete time crystal in an open system
• Floquet interface states in illuminated three-dimensional topological insulators
• Laser-induced topological transitions in phosphorene with inversion symmetry
• Steady states and edge state transport in topological Floquet-Bloch systems
• General description for nonequilibrium steady states in periodically driven dissipative quantum systems
• Perturbative approach to weakly driven many-particle systems in the presence of approximate conservation laws
• Floquet band structure of a semi-Dirac system
• Dynamical and Reversible Control of Topological Spin Textures
• Light-induced anomalous Hall effect in massless Dirac fermion systems and topological insulators with dissipation
• Mimicking Nonequilibrium Steady States with Stochastic Pumps
• Is there a Floquet Lindbladian?
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators
• Universal chiral quasi-steady states in periodically driven many-body systems
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Three-dimensional Chiral Lattice Fermion in Floquet Systems
• Steady state of interacting Floquet insulators
• Floquet states in dissipative open quantum systems
• Spin and topological order in a periodically driven spin chain
• Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
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• Quantum Critical Scaling under Periodic Driving
• Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals
• The Fermi-Dirac staircase occupation of Floquet bands and current rectification inside the optical gap of metals: a rigorous perspective
• Entanglement entropy in a periodically driven Ising chain
• The Floquet Engineer's Handbook
• Dissipative Floquet Majorana modes in proximity-induced topological superconductors
• Valley-selective Floquet Chern Flat Bands in Twisted Multilayer Graphene
• Optically induced topological superconductivity via Floquet interaction engineering
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Nonequilibrium Steady States and Resonant Tunneling in Time-Periodically Driven Systems with Interactions
• Spectral functions of a time-periodically driven Falicov-Kimball model: real-space Floquet DMFT study
• High-frequency expansions for time-periodic Lindblad generators
• Light-induced fractional quantum Hall phases in graphene
• Dirac cones, Floquet side bands and theory of time resolved ARPES
• High-temperature nonequilibrium Bose condensation induced by a hot needle
• Floquet bound states around defects and adatoms in graphene
• Entanglement properties of the time periodic Kitaev Chain
• Probing (topological) Floquet states through DC transport
• Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
• Floquet-Drude conductivity
• Disentangling the Competing Mechanisms of Light-Induced Anomalous Hall Conductivity in Three-Dimensional Dirac Semimetal
• Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
• Entanglement entropy in a periodically driven quantum Ising chain
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Many-body dynamics and gap opening in interacting periodically driven systems
• Floquet states and optical conductivity of an irradiated two dimensional topological insulator
• On the number of Bose-selected modes in driven-dissipative ideal Bose gases
• Dynamical Transition for a class of integrable models coupled to a bath
• Ballistic transport through irradiated graphene
• Absence of Criticality in the Phase Transitions of Open Floquet Systems
• Polarization as a tuning parameter for Floquet engineering: magnetism in the honeycomb, square, and triangular Mott insulators
• Dynamical control of electron-phonon interactions with high-frequency light
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Nonlocal random walk over Floquet states of a dissipative nonlinear oscillator
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Periodic thermodynamics of the Rabi model with circular polarization for arbitrary spin quantum numbers
• Valley-Selective Topological Ordered States in Irradiated Bilayer Graphene
• The Floquet Fermi Liquid
• Stability of Floquet Majorana box qubits
• Ultrafast transient interference in pump-probe spectroscopy of band and Mott insulators
• Quantum computing Floquet energy spectra
• Long time asymptotic state of periodically driven open quantum systems
• Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
• Transport signatures in topological systems coupled to AC fields
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Semiclassical dynamics of electrons in space-time crystal: Magnetization, polarization, and current response
• Electronic Floquet Liquid Crystals
• Quantum Hall edge states under periodic driving: a Floquet induced chirality switch
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
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• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Driven Hofstadter Butterflies and Related Topological Invariants
• Floquet engineering of many-body states by the ponderomotive potential
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
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• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Floquet Engineering of Multifold Fermions
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
• Optical Control of Slow Topological Electrons in Moiré Systems
• Photon thermalization via laser cooling of atoms
• Photon-Induced Suppression of Interlayer Tunneling in Van Der Waals Heterostructures
• Chiral Luttinger liquids in graphene tuned by irradiation
• Stabilization of prethermal Floquet steady states in a periodically driven dissipative Bose-Hubbard model
• Quantum Liouville's theorem based on Haar measure
• Dynamical Quantum Phase Transitions in presence of a spin bath
• Floquet Spin Splitting and Spin Generation in Antiferromagnets
• Asymmetry-induced radiative heat transfer in Floquet systems
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Periodic thermodynamics of a two spin Rabi model
• Floquet theory and applications in open quantum and classical systems
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Quantum engineering of a synthetic thermal bath for bosonic atoms in a one-dimensional optical lattice via Markovian feedback control
• A matrix product operator approach to non-equilibrium Floquet steady states
• Optimizing Floquet engineering for non-equilibrium steady states with gradient-based methods
• Dynamics of photo-induced ferromagnetism in oxides with orbital degeneracy
• Ultra-critical Floquet Non-Fermi Liquid
• Dynamical nonlinear optical response in time-periodic quantum systems
• Autonomous Stabilization of Floquet States Using Static Dissipation
• Quantum Metric-induced Oscillations in Flat Bands
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Properties of dissipative Floquet Majorana modes using a quantum dot
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• The Rabi problem with elliptic polarization
• Time-resolved ARPES and optical transport properties of irradiated twisted bilayer graphene in steady-state
• Frequency dependence of the light-induced Hall effect in dissipative graphene
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• Dirac Electrons in AC-Magnetic Fields: $\pi$-Landau Levels and Chiral Anomaly-Induced Homodyne Effect
• Dissipation-Shaped Quantum Geometry in Nonlinear Transport
• Dirac materials under linear polarized light: quantum wave function evolution and topological Berry phases as classical charged particles trajectories under electromagnetic fields
• Floquet engineering in the presence of optically excited carriers
• Occupation Dynamics of Floquet-Volkov States and Spectral Sum Rule
• Quantized Acoustoelectric Floquet Effect in Quantum Nanowires
• Robustness of the Floquet-assisted superradiant phase and possible laser operation
• Feedback cooling of fermionic atoms in optical lattices
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization