Floquet scattering theory of quantum pumps

Abstract

We develop the Floquet scattering theory for quantum mechanical pumping in mesoscopic conductors. The nonequilibrium distribution function, the dc charge and heat currents are investigated at arbitrary pumping amplitude and frequency. For mesoscopic samples with discrete spectrum we predict a sign reversal of the pumped current when the pump frequency is equal to the level spacing in the sample. This effect allows to measure the phase of the transmission coefficient through the mesoscopic sample. We discuss the necessary symmetry conditions (both spatial and temporal) for pumping.

11 pages, 5 figures

Cited by in corpus (309)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Floquet Engineering of Quantum Materials
• Driven quantum transport on the nanoscale
• Photon-assisted transport in semiconductor nanostructures
• Irradiated graphene as a tunable Floquet topological insulator
• Multiterminal Conductance of a Floquet Topological Insulator
• Generation of pure bulk valley current in graphene
• Single-parameter non-adiabatic quantized charge pumping
• Electron quantum optics in ballistic chiral conductors
• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• Perspective on topological states of non-Hermitian lattices
• Effect of radiation on transport in graphene
• Mono-parametric quantum charge pumping: interplay between spatial interference and photon-assisted tunneling
• Clock-controlled emission of single-electron wavepackets in a solid-state circuit
• Non-adiabatic quantized charge pumping with tunable-barrier quantum dots: a review of current progress
• A unified first-principles study of Gilbert damping, spin-flip diffusion and resistivity in transition metal alloys
• Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
• Integer and fractional charge Lorentzian voltage pulses analyzed in the frame of Photon-assisted Shot Noise
• Adiabatic pumping through interacting quantum dots
• Scattering Theory for Floquet-Bloch States
• A Green-function approach to transport phenomena in quantum pumps
• Single electron quantum tomography in quantum Hall edge channels
• Scattering matrix approach to the description of quantum electron transport
• Quantized dynamics of a coherent capacitor
• Observation of Floquet states in a strongly driven artificial atom
• Adiabatic quantum pump in the presence of external ac voltages
• Current noise spectrum of a single particle emitter: theory and experiment
• Coherent Particle Transfer in an On-Demand Single-Electron Source
• Photocurrent, Rectification, and Magnetic Field Symmetry of Induced Current Through Quantum Dots
• Directed Chaotic Transport in Hamiltonian Ratchets
• Control of electronic transport in graphene by electromagnetic dressing
• Electron pumping in graphene mechanical resonators
• A two-atom electron pump
• Coherence of Single Electron Sources from Mach-Zehnder Interferometry
• Heat production and energy balance in nanoengines driven by time-dependent fields
• Wigner function approach to single electron coherence in quantum Hall edge channels
• Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
• Non-adiabatic pumping through interacting quantum dots
• Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps
• Unpaired Floquet Majorana fermions without magnetic fields
• AC transport in graphene-based Fabry-Perot devices
• Fractionalization of minimal excitations in integer quantum Hall edge channels
• Scattering matrix invariants of Floquet topological insulators
• Photon-assisted electron-hole shot noise in multi-terminal conductors
• Levitons for electron quantum optics
• Nonadiabatic electron heat pump
• Quantum spin pumping with adiabatically modulated magnetic barrier's
• Electron quantum optics as quantum signal processing
• Electron and hole Hong-Ou-Mandel interferometry
• Resonance approximation and charge loading/unloading in adiabatic quantum pumping
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Decoherence and relaxation of a single electron in a one dimensional conductor
• Calculating the transport properties of magnetic materials from first-principles including thermal and alloy disorder, non-collinearity and spin-orbit coupling
• Transport and Dissipation in Quantum Pumps
• Non-adiabatic charge pump: an exact solution
• Heat production and current noise for single- and double-cavity quantum capacitors
• Integrated Nonreciprocal Photonic Devices with Dynamic Modulation
• Glauber coherence of single electron sources
• Magnetization Dissipation in Ferromagnets from Scattering Theory
• Laser-induced quantum pumping in graphene
• Spin and charge pumping by steady or pulse current-driven magnetic domain wall: A self-consistent multiscale time-dependent-quantum/time-dependent-classical approach
• Optimal spin-entangled electron-hole pair pump
• Dynamic generation of orbital quasiparticle entanglement in mesoscopic conductors
• Floquet Theory of Electron Waiting Times in Quantum-Coherent Conductors
• Single-parameter quantum charge and spin pumping in armchair graphene nanoribbons
• Enhancing single-parameter quantum charge pumping in carbon-based devices
• Scattering Theory of Dynamic Electrical Transport
• Transient regime in non-linear transport through many-level quantum dots
• Single-electron source: Adiabatic versus non-adiabatic emission
• Producing Coherent Excitations in Pumped Mott Antiferromagnetic Insulators
• Quantum fluctuations and coherence in high-precision single-electron capture
• Landauer-Büttiker approach to strongly coupled quantum thermodynamics: inside-outside duality of entropy evolution
• Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
• Time-resolved noise of adiabatic quantum pumps
• Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
• Single-electron entanglement and nonlocality
• Controlling the conductance and noise of driven carbon-based Fabry-Perot devices
• Dynamic scattering channels of a double barrier structure
• Electron waiting times in coherent conductors are correlated
• Floquet theory of Cooper pair pumping
• Photovoltaic and Rectification Currents in Quantum Dots
• Dynamical generation and detection of entanglement in neutral leviton pairs
• Emission of time-bin entangled particles into helical edge states
• Adiabatic pumping in the mixed-valence and Kondo regimes
• Floquet scattering matrix theory of heat fluctuations in dynamical quantum conductors
• Interaction-induced adiabatic non-linear transport
• Generalized Floquet theory: application to dynamical systems with memory and Bloch's theorem for nonlocal potentials
• Charge and spin pumping through a double quantum dot
• Spatio-temporal dynamics of shift current quantum pumping by femtosecond light pulse
• Limits of topological protection under local periodic driving
• Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system
• Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring
• Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
• Hidden quantum pump effects in quantum coherent rings
• Parametric quantum spin pump
• Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
• 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
• Spectroscopy of electron flows with single- and two-particle emitters
• A scheme to realize the quantum spin-valley Hall effect in monolayer graphene
• Delocalization induced by low-frequency driving in disordered superlattices
• Mach-Zehnder interferometry with periodic voltage pulses
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Properties of 1D two-barrier quantum pump with harmonically oscillating barriers
• Proposal for non-local electron-hole turnstile in the Quantum Hall regime
• Nanomagnet coupled to quantum spin Hall edge: An adiabatic quantum motor
• Adiabatic pumping in a double-dot Cooper-pair beam splitter
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Nonadiabatic charge pumping in a one-dimensional system of noninteracting electrons by an oscillating potential
• Noise Spectra of ac-driven quantum dots
• Thermodynamic Bounds on Coherent Transport in Periodically Driven Conductors
• Non-adiabatic transport in a quantum dot turnstile
• Symmetry and environment effects on rectification mechanisms in quantum pumps
• Autonomous quantum absorption refrigerators
• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Quantum rings with time dependent spin-orbit coupling: Rabi oscillations, spintronic Schrodinger-cat states, and conductance properties
• Quantum pumping: Coherent Rings versus Open Conductors
• How to suppress the backscattering of conduction electrons?
• Equation of motion approach to non-adiabatic quantum charge pumping
• Layered optomagnonic structures: Time Floquet scattering-matrix approach
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Two-particle interferometry in quantum Hall edge channels
• Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias
• Pseudorandom binary injection of levitons for electron quantum optics
• Two-electron state from the Floquet scattering matrix perspective
• Renormalization in periodically driven quantum dots
• Optimal pumping of orbital entanglement with single particle emitters
• Non-adiabatic Electron Pumping through Interacting Quantum Dots
• Perfect spin filter by periodic drive of a ferromagnetic quantum barrier
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Single-electron coherence: finite temperature versus pure dephasing
• Time-dependent Landauer-Büttiker approach to charge pumping in AC-driven graphene nanoribbons
• Quantum Pumping with Ultracold Atoms on Microchips: Fermions versus Bosons
• Spectral distribution and wavefunction of electrons emitted from a single particle source in the quantum Hall regime
• Nonequilibrium phase transition in transport through a driven quantum point contact
• Admittance and noise in an electrically driven nano-structure: Interplay between quantum coherence and statistics
• Measurement of coherent charge transfer in an adiabatic Cooper pair pump
• Electron waiting times for the mesoscopic capacitor
• Effects of interaction on an adiabatic quantum electron pump
• Floquet Majorana bound states in voltage-biased Planar Josephson Junctions
• Heat and charge transport measurements to access single-electron quantum characteristics
• Topological pumping in the one-dimensional Bose-Hubbard model
• Controlled Flow of Spin-Entangled Electrons via Adiabatic Quantum Pumping
• Controlling conductance statistics of quantum wires by driving ac fields
• Single-particle interference versus two-particle collisions
• From non-equilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: steady state and adiabatic dynamics
• Spin-polarized tunable photocurrents
• Non-adiabatic electron charge pumping in coupled semiconductor quantum dots
• Two-dimensional quantum rings with oscillating spin-orbit interaction strength: A wave function picture
• Waiting times of entangled electrons in normal-superconducting junctions
• Quantum charge pumping through resonant crossed Andreev reflection in superconducting hybrid junction of Silicene
• Real-time simulation of finite frequency noise from a single electron emitter
• Tunable heat pump by modulating the coupling to the leads
• Magnon-driven chiral charge and spin pumping and electron-magnon scattering from time-dependent quantum transport combined with atomistic spin dynamics theory
• Floquet bound states around defects and adatoms in graphene
• Electronic quantum optics beyond the integer quantum Hall effect
• Zero-frequency noise in adiabatically driven, interacting quantum systems
• Floquet Formalism of Quantum Pumps
• Probing (topological) Floquet states through DC transport
• Relativistic electron transport through an oscillating barrier: wave packet generation and Fano-type resonances
• Coulomb blockade effects in driven electron transport
• Quantum pump effect in one-dimensional systems of Dirac fermions
• Beating Carnot efficiency with periodically driven chiral conductors
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Multi-particle correlations of an oscillating scatterer
• Noise of a single-electron emitter
• A study of all-electric electron spin resonance using Floquet quantum master equations
• Theory of AC quantum transport with fully electrodynamic coupling
• Ballistic transport through irradiated graphene
• Timescale separation solution of Kadanoff-Baym equations for quantum transport in time-dependent fields
• Quantum noise in ac-driven resonant-tunneling double barrier structures: Photon-assisted tunneling vs. electron anti-bunching
• Nonequilibrium Josephson diode effect in periodically driven SNS junctions
• Full counting statistics for electron transport in periodically driven quantum dots
• Interference and interaction effects in adiabatic pumping through quantum dots
• Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires
• Anomalous Josephson effect and rectification in junctions between Floquet topological superconductors
• Anomalous Floquet tunneling in uniaxially strained graphene
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• ac-dc voltage profile and four point impedance of a quantum driven system
• Noise of Kondo dot with ac gate: Floquet-Green's function and Noncrossing Approximation Approach
• Localization properties of driven disordered one-dimensional systems
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Crossover from adiabatic to antiadiabatic quantum pumping with dissipation
• Optimization of quantized charge pumping using full counting statistics
• Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels
• Spin-charge conversion in multiterminal Aharonov-Casher ring coupled to precessing ferromagnets: A charge conserving Floquet-nonequilibrium Green function approach
• Quantized charge-pumping in higher-order topological insulators
• Time-Domain Spectroscopy of Mesoscopic Conductors Using Voltage Pulses
• Non-adiabatic effect in quantum pumping for a spin-boson system
• Quantum Pumping and Quantized Magnetoresistance in a Hall Bar
• Functional renormalization group in Floquet space
• Composite two-particle sources
• Quantum computing Floquet energy spectra
• Single-parameter adiabatic charge pumping in carbon nanotube resonators
• Noise-assisted Thouless pump in elastically deformable molecular junctions
• Structured Energy Distribution and Coherent AC Transport in Mesoscopic Wires
• Theory of one-dimensional double-barrier quantum pump in two-frequency signal regime
• Quantum pumping in deformable quantum dots
• Non-adiabatic Rectification and Current Reversal in Electron Pumps
• Multi-particle interference in an electronic Mach-Zehnder interferometer
• Microscopic theory of photo-assisted electronic transport in normal-metal/BCS-superconductor junctions
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
• Single-electron approach for time-dependent electron transport
• Time-dependent quantum transport through an interacting quantum dot beyond sequential tunneling: second-order quantum rate equations
• DC four point resistance of a double barrier quantum pump
• Photoassisted shot noise spectroscopy at fractional filling factor
• Effective Floquet model for minimally twisted bilayer graphene
• Ultrashort electron wavepackets via frequency-comb synthesis
• Quantum Hall edge states under periodic driving: a Floquet induced chirality switch
• Absence of Floquet scattering in oscillating non-Hermitian potential wells
• Quantum charge pumping through a superconducting double barrier structure in graphene
• Adiabatic charge pumping through a dot at the junction of N quantum wires
• Time-dependent quantum transport and power-law decay of the transient current in a nano-relay and nano-oscillator
• Geometric quantum pumping in the presence of dissipation
• Quantum pump driven fermionic Mach-Zehnder interferometer
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Lissajous rocking ratchet
• Adiabatic quantum pumping of a desired ratio of spin current to charge current
• Scattering of accelerated wave packets
• Single-electron $G^{(2)}$ function at nonzero temperatures
• Transport signatures of a Floquet topological transition at the helical edge
• Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics
• Green's function representation of spin pumping effect
• Numerical study of parametric pumping current in mesoscopic systems in the presence of magnetic field
• Nonadiabatic pure spin pumping in zigzag graphene nanoribbons with proximity induced ferromagnetism
• Dynamics of a particle confined in a two-dimensional dilating and deforming domain
• Fano resonance in the nonadiabatic pumped shot noise of a time-dependent potential well
• AC field induced quantum rectification effect in tunnel junctions
• Photovoltage in curved 1D systems
• Aspects of quantum cooling in electron and atom systems
• High-frequency blockade in a tight-binding one-dimensional lattice with single vibrating atomic state
• Conductance beyond the Landauer limit and charge pumping in quantum wires
• Charge pumping in strongly-coupled molecular quantum dots
• Pumped shot noise in adiabatically modulated graphene-based double-barrier structures
• Optimization of electron pumping by harmonic mixing
• Photo control of transport properties in disorderd wire; average conductance, conductance statistics, and time-reversal symmetry
• Nonadiabatic charge pumping across two superconductors connected through a normal metal region by periodically driven potentials
• Radiation-induced quantum interference in low-dimensional $n$-$p$ junctions
• Dissipation engineered directional filter for quantum ratchets
• Optically induced resonant tunneling of electrons in nanostructures
• Quantum pumping of electrons by a moving modulated potential
• Heat Pulses in Electron Quantum Optics
• Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
• Quantum charge pumping through Majorana bound states
• Memory effects in adiabatic quantum pumping with parasitic nonlinear dynamics
• Radiation-induced quantum Fano-type resonances in the transport of $N$-$P$-$N$ graphene based junctions
• Heat pump driven by the shot noise of a tunnel contact
• Coherent magnetotransport and time-dependent transport through split-gated quantum constrictions
• Adiabatically twisting a magnetic molecule to generate pure spin currents in graphene
• Controllable Floquet edge modes in a multi-frequency driving system
• On Landauer--Büttiker formalism from a quantum quench
• Current and shot noise in a normal metal-superconductor junction driven by spin-dependent periodic pulse sequence
• Measuring the arrival time of an electron wave packet using a dynamical potential barrier
• Nonadiabaticity in spin pumping under relaxation
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Optimized Cooper pair pumps
• Heat and charge current fluctuations and the time dependent coefficient of performance for a nanoscale refrigerator
• Floquet scattering matrix approach to the phase noise of a single-electron source in the adiabatic regime
• Parasitic pumping currents in an interacting quantum dot
• High-frequency blockade and related phenomena
• Visualising the connection between edge states and the mobility edge in adiabatic and non-adiabatic topological charge transport
• Nonadiabatic pumping in classical and quantum chaotic scatterers
• Pauli blocking factors in quantum pumps
• Transport fluctuation relations in interacting quantum pumps
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Higgs amplitude mode in ballistic superconducting hybrid junctions
• Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
• Thermal control across a chain of electronic nanocavities
• Pumped heat and charge statistics from Majorana braiding
• Low-frequency excitation of double quantum dots
• Exact results for nonlinear ac-transport through a resonant level model
• Attenuation and amplification of the transient current in nanojunctions with time-varying gate potentials
• Quantum transport phenomena induced by time-dependent fields
• Quantum Paddlewheel with Ultracold Atoms in Waveguides
• Modeling shallow confinement in tuneable quantum dots
• Ballistic atom pumps
• Tailored particle current in an optical lattice by a weak time-symmetric harmonic potential
• Magnetization Transfer by a Quantum Ring Device
• On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses
• Quantum Pumping and Nuclear Polarization in the Integer Quantum Hall Regime
• Floquet-Nambu theory of electron quantum optics with superconductors
• Auto- versus cross-correlation noise
• Resonant transitions due to changing boundaries
• Backscattering off a dynamical impurity in one-dimensional Fermi systems: A perturbative computation
• Matter, Energy, and Heat Transfer in a Classical Ballistic Atom Pump
• Non-adiabatic effect on Laughlin's argument of the quantum Hall effect
• Geometrical optimization of pumping power under adiabatic parameter driving
• Photocurrent and photoconductance of an helical edge state
• Thermoelectric energy conversion in molecular junctions out of equilibrium
• In memoriam: Markus Büttiker (1950 - 2013)
• Single-parameter spin-pumping in driven metallic rings with spin-orbit coupling
• Dynamical Approach to Realize Room-Temperature Superconductivity in LaH${}_{10}$
• Quantum particle escape from a time-dependent confining potential
• Enhanced thermoelectric effects in a driven one-dimensional system
• Numerical Simulation of Quantized Current Generated by a Quantum Dot Pump
• Symmetry-induced even/odd parity in charge and heat pumping
• Non-adiabatic quantum pumping by a randomly moving quantum dot
• Pumping current of a Luttinger liquid with finite length
• Energy transport and heat production in quantum engines
• Dynamical Spin-Orbit-Based Spin Transistor
• Dynamical Resonances and Stepped Current in an Attractive Quantum Pump
• Geometric Bounds on the Power of Adiabatic Thermal Machines
• Anomalous exchange correlation of quasiparticles with entangled Nambu spinors
• Eikonal Approximation for Floquet Scattering
• Noise and Counting Statistics of a Single Electron Emitter: Theory
• A Quantum Singlet Pump
• Interplay of Kekulé distortions and laser fields in graphene
• Weak-Memory Dynamics in Discrete Time