Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields

Abstract

We present the relation between the Floquet scattering matrix and the non-equilibrium Green's function formalisms to transport theory in noninteracting electronic systems in contact to reservoirs and driven by time-periodic fields. We present a translation formula that expresses the Floquet scattering matrix in terms of a Fourier transform of the retarded Green's function. We prove that such representation satisfies the fundamental identities of tran sport theory. We also present the ``adiabatic'' approximation to the dc-current in the language of the Keldysh formalism.

15 pages

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Cited by in corpus (111)

• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Multiterminal Conductance of a Floquet Topological Insulator
• Effective Theory of Floquet Topological Transitions
• Dynamical energy transfer in ac driven quantum systems
• A time-dependent approach to electron pumping in open quantum systems
• Scattering theory of current-induced forces in mesoscopic systems
• Current-induced forces in mesoscopic systems: a scattering matrix approach
• Adiabatic response and quantum thermoelectrics for ac driven quantum systems
• Heat production and energy balance in nanoengines driven by time-dependent fields
• Non-adiabatic pumping through interacting quantum dots
• Dynamics of energy transport and entropy production in ac-driven quantum electron systems
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Green's function methods for single molecule junctions
• Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments
• Periodic energy transport and entropy production in quantum electronics
• Vibrational cooling and thermoelectric response of nanoelectromechanical systems
• Current-induced switching in transport through anisotropic magnetic molecules
• Transient regime in non-linear transport through many-level quantum dots
• Quantum fluctuations and coherence in high-precision single-electron capture
• Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
• Microscopic model of a phononic refrigerator
• Photoconductance of organic single-molecule contacts
• Dynamic scattering channels of a double barrier structure
• Spin and charge pumping in magnetic tunnel junctions with precessing magnetization: A nonequilibrium Green function approach
• Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots
• Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system
• Local and Effective Temperatures of Quantum Driven Systems
• Charge pumping by magnetization dynamics in magnetic and semi-magnetic tunnel junctions with interfacial Rashba or bulk extrinsic spin-orbit couplings
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Nanomagnet coupled to quantum spin Hall edge: An adiabatic quantum motor
• Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias
• Local Temperatures and Heat Flow in Quantum Driven Systems
• Non-adiabatic transport in a quantum dot turnstile
• Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach
• Time-dependent thermoelectric transport for nanoscale thermal machines
• Landau-Zener interference at bichromatic driving
• Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach
• Probing the energy reactance with adiabatically driven quantum dots
• Non-adiabatic Electron Pumping through Interacting Quantum Dots
• Time-dependent Landauer-Büttiker approach to charge pumping in AC-driven graphene nanoribbons
• Shot noise in non-adiabatically driven nanoscale conductors
• Transport phenomena in helical edge states interferometers. A Green's function approach
• Spin-polarized tunable photocurrents
• Many-body non-equilibrium effects in all-electric electron spin resonance
• Coulomb-blockade effect in nonlinear mesoscopic capacitors
• Temporal evolution of resonant transmission under telegraph noise
• Inversion in a four terminal superconducting device on the quartet line: II. Quantum dot and Floquet theory
• Quantum pump effect in one-dimensional systems of Dirac fermions
• Probing (topological) Floquet states through DC transport
• A study of all-electric electron spin resonance using Floquet quantum master equations
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Numerical cookbook for electronic quantum transport at finite frequency
• Full counting statistics for electron transport in periodically driven quantum dots
• Timescale separation solution of Kadanoff-Baym equations for quantum transport in time-dependent fields
• Defining the effective temperature of a quantum driven system from current-current correlation functions
• Heat currents in electronic junctions driven by telegraph noise
• ac-dc voltage profile and four point impedance of a quantum driven system
• Theory of spin pumping through an interacting quantum dot tunnel coupled to a ferromagnet with time-dependent magnetization
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• Interference and interaction effects in adiabatic pumping through quantum dots
• Enhanced performance of a quantum-dot-based nanomotor due to Coulomb interactions
• Interacting electrodynamics of short coherent conductors in quantum circuits
• Functional renormalization group in Floquet space
• Non-adiabatic Rectification and Current Reversal in Electron Pumps
• Exact finite-time correlation functions for multi-terminal setups: Connecting theoretical frameworks for quantum transport and thermodynamics
• Chiral heat transport in driven quantum Hall and quantum spin Hall edge states
• Toward flying qubit spectroscopy
• DC four point resistance of a double barrier quantum pump
• From Anderson Localization to Mesoscopic Physics
• A model for the ESR-STM phenomenon
• Quantum Hall edge states under periodic driving: a Floquet induced chirality switch
• High-harmonic generation in spin and charge current pumping at ferromagnetic or antiferromagnetic resonance in the presence of spin-orbit coupling
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Time-dependent quantum transport and power-law decay of the transient current in a nano-relay and nano-oscillator
• Transient magnetotransport through a quantum wire
• Multifloquet to single electronic channel transition in the transport properties of a resistive 1D driven disordered ring
• Pumping charge with ac magnetic fluxes and the dynamical breakdown of Onsager symmetry
• Time resolved heat exchange in driven quantum systems
• Anomalous Joule law in the adiabatic dynamics of a normal-superconductor quantum dot
• Generalized Landauer formula for time-dependent potentials and noise-induced zero-bias dc current
• Landauer Formula for a Superconducting Quantum Point Contact
• Contrasting exchange-field and spin-transfer torque driving mechanisms in all-electric electron spin resonance
• Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics
• Landauer theory of ballistic torkances in non-collinear spin valves
• Electroluminescence rectification and high harmonic generation in molecular junctions
• Conductance beyond the Landauer limit and charge pumping in quantum wires
• Optimization of electron pumping by harmonic mixing
• Discontinuous conductance of bichromatically ac-gated quantum wires
• Nonadiabatic pure spin pumping in zigzag graphene nanoribbons with proximity induced ferromagnetism
• AC transport in carbon-based devices: challenges and perspectives
• Heat Pulses in Electron Quantum Optics
• Spin pumping from antiferromagnetic insulator spin-orbit-proximitized by adjacent heavy metal: A first-principles Floquet-nonequilibrium Green's function study
• Geometric rectification for nanoscale vibrational energy harvesting
• A gauge-invariant and current-continuous microscopic ac quantum transport theory
• Quantum adiabatic pumping by modulating tunnel phase in quantum dots
• Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
• Nonequilibrium Green's functions in the study of heat transport of driven nanomechanical systems
• Nonadiabatic pumping in classical and quantum chaotic scatterers
• Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires. A Green's function approach for multiterminal setups
• Relation Between Local Temperature Gradients and the Direction of Heat Flow in Quantum Driven Systems
• Transport properties of vertical heterostructures under light irradiation
• Langevin dynamics of a heavy particle and orthogonality effects
• Heat transport and cooling performance in a nanomechanical system with local and non local interactions
• Attenuation and amplification of the transient current in nanojunctions with time-varying gate potentials
• Quantum transport phenomena induced by time-dependent fields
• Fluctuation-induced currents in suspended graphene nanoribbons: Adiabatic quantum pumping approach
• The open driven two-level system at conical intersections of quasienergies
• Temporal evolution of fluxes in driven quantum dots
• Symmetry-induced even/odd parity in charge and heat pumping
• Energy transport and heat production in quantum engines
• Theory of Electron Spin Resonance Scanning Tunneling Microscopy: The First Decade