Dissipation and noise in adiabatic quantum pumps

Abstract

We investigate the distribution function, the heat flow and the noise properties of an adiabatic quantum pump for an arbitrary relation of pump frequency $\omega$ and temperature. To achieve this we start with the scattering matrix approach for ac-transport. This approach leads to expressions for the quantities of interest in terms of the side bands of particles exiting the pump. The side bands correspond to particles which have gained or lost a modulation quantum $\hslash \omega$. We find that our results for the pump current, the heat flow and the noise can all be expressed in terms of a parametric emissivity matrix. In particular we find that the current cross-correlations of a multiterminal pump are directly related a to a non-diagonal element of the parametric emissivity matrix. The approach allows a description of the quantum statistical correlation properties (noise) of an adiabatic quantum pump.

References in corpus (10)

• Counting statistics for arbitrary cycles in quantum pumps
• Optimal Quantum Pumps
• Rectification of displacement currents in an adiabatic electron pump
• Parametric pumping at finite frequency
• Effect of inelastic scattering on parametric pumping
• Pumped current and voltage for an adiabatic quantum pump
• Dephasing in a quantum pump
• Charge densities and charge noise in mesoscopic conductors
• Full counting statistics of a charge pump in the Coulomb blockade regime
• Acoustoelectric pumping through a ballistic point contact in the presence of magnetic fields

Cited by in corpus (129)

• Photon-assisted transport in semiconductor nanostructures
• Floquet scattering theory of quantum pumps
• Optimal energy quanta to current conversion
• A unified first-principles study of Gilbert damping, spin-flip diffusion and resistivity in transition metal alloys
• Pumping spin with electrical fields
• Adiabatic pumping through interacting quantum dots
• Adiabatic quantum pump in the presence of external ac voltages
• Coherent Particle Transfer in an On-Demand Single-Electron Source
• Charge transport through single molecules, quantum dots, and quantum wires
• Quantum partition noise of photo-created electron-hole pairs
• Adiabatic pumping through a quantum dot with coulomb interactions: A perturbation expansion in the tunnel coupling
• Nonlinear heat transport in mesoscopic conductors: Rectification, Peltier effect and Wiedemann-Franz law
• Correlations of heat and charge currents in quantum-dot thermoelectric engines
• Thermoelectric performance of a driven double quantum dot
• Quantum pumping with adiabatically modulated barriers in graphene
• 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
• Pumping in an interacting quantum wire
• Nanoscale Magnetic Heat Pumps and Engines
• Photon-assisted electron-hole shot noise in multi-terminal conductors
• Quantum spin pumping with adiabatically modulated magnetic barrier's
• Adiabatic charge and spin pumping through quantum dots with ferromagnetic leads
• 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
• Elementary Charge Transfer Processes in Mesoscopic Conductors
• Magnetization Dissipation in Ferromagnets from Scattering Theory
• Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
• Dynamic generation of orbital quasiparticle entanglement in mesoscopic conductors
• Scattering Approach to Counting Statistics in Quantum Pumps
• Gauge Fields, Geometric Phases, and Quantum Adiabatic Pumps
• Scattering Theory of Dynamic Electrical Transport
• Heat current in parametric quantum pump
• 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
• Scattering matrix ensemble for time-dependent transport through a chaotic quantum dot
• Microscopic model of a phononic refrigerator
• Pumping in a mesoscopic ring with Ahronov-Casher effect
• Local and Effective Temperatures of Quantum Driven Systems
• Parametric quantum spin pump
• Hidden quantum pump effects in quantum coherent rings
• Tunneling of Massive Dirac Fermions in Graphene through Time-periodic Potential
• Heat, molecular vibrations, and adiabatic driving in non-equilibrium transport through interacting quantum dots
• Interaction-induced charge and spin pumping through a quantum dot at finite bias
• Adiabatic Charge Pumping through Quantum Dots in the Coulomb Blockade Regime
• Pumping through a quantum dot in the proximity of a superconductor
• Generalized Boundary Conditions for Spin Transfer
• Local Temperatures and Heat Flow in Quantum Driven Systems
• Autonomous quantum absorption refrigerators
• Quantum pumping: Coherent Rings versus Open Conductors
• Adiabatic pumping in a Superconductor-Normal-Superconductor weak link
• Andreev interference in adiabatic pumping
• Heat pumping in nanomechanical systems
• Floquet states and persistent currents transitions in a mesoscopic ring
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems I: Average Currents
• Effects of interaction on an adiabatic quantum electron pump
• Shot noise of photon-excited electron-hole pairs in open quantum dots
• Noise-assisted classical adiabatic pumping in a symmetric periodic potential
• Strain Controlled Spin and Charge Pumping in Graphene Devices via Spin-orbit Coupled Barriers
• Carbon nanotube-based quantum pump in the presence of superconducting lead
• Optimal quantum pump in the presence of a superconducting lead
• Interference and multi-particle effects in a Mach-Zehnder interferometer with single-particle sources
• Local Friedel sum rule on graphs
• Zero-frequency noise in adiabatically driven, interacting quantum systems
• Electronic quantum optics beyond the integer quantum Hall effect
• Charge pumping and noise in a one-dimensional wire with weak electron-electron interactions
• Diagrammatic real-time approach to adiabatic pumping through metallic single-electron devices
• Multi-particle correlations of an oscillating scatterer
• Fano Resonance in the Nonadiabatically Pumped Shot Noise of a Time-Dependent Quantum Well in 2DEG and Graphene
• Adiabatic pumping through a quantum dot in the Kondo regime: Exact results at the Toulouse limit
• Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires
• Non-adiabatic topological spin pumping
• Theory of spin pumping through an interacting quantum dot tunnel coupled to a ferromagnet with time-dependent magnetization
• Defining the effective temperature of a quantum driven system from current-current correlation functions
• Interference and interaction effects in adiabatic pumping through quantum dots
• Optimization of quantized charge pumping using full counting statistics
• Finger-gate array quantum pumps:pumping characteristics and mechanisms
• Spin-charge conversion in multiterminal Aharonov-Casher ring coupled to precessing ferromagnets: A charge conserving Floquet-nonequilibrium Green function approach
• Simulating time-dependent thermoelectric transport in quantum systems
• Noise-assisted Thouless pump in elastically deformable molecular junctions
• Chiral heat transport in driven quantum Hall and quantum spin Hall edge states
• Quantum pumping in deformable quantum dots
• Magnetopumping current in graphene Corbino pump
• Quantum chaotic scattering in time-dependent external fields: random matrix approach
• From Anderson Localization to Mesoscopic Physics
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
• Spin-dependent pump current and noise in an adiabatic quantum pump based on domain walls in a magnetic nanowire
• Measuring geometric phases of scattering states in nanoscale electronic devices
• Cooperative Charge Pumping and Enhanced Skyrmion Mobility
• Adiabatic charge pumping through a dot at the junction of N quantum wires
• Electron tunneling through graphene-based double barriers driven by a periodic potential
• Quantum pump driven fermionic Mach-Zehnder interferometer
• Pumping charge with ac magnetic fluxes and the dynamical breakdown of Onsager symmetry
• Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics
• Entanglement of Nambu Spinors and Bell Inequality Test Without Beam Splitters
• Pumped shot noise in adiabatically modulated graphene-based double-barrier structures
• Fano resonance in the nonadiabatic pumped shot noise of a time-dependent potential well
• Global Partial Density of States: Statistics and Localization Length in Quasi-one Dimensional disordered systems
• AC transport in carbon-based devices: challenges and perspectives
• Topologically protected heat pumping from braiding Majorana zero modes
• Carbon nanotube quantum pumps
• Memory effects in adiabatic quantum pumping with parasitic nonlinear dynamics
• Universal quantum noise in adiabatic pumping
• Optimized Cooper pair pumps
• Parasitic pumping currents in an interacting quantum dot
• Fano resonance via bonding and antibonding states in nonadiabatically-pumped double-quantum-well systems
• Pauli blocking factors in quantum pumps
• Quantum pumping in helimagnet heterostructures
• A microscopic formulation of dynamical spin injection in ferromagnetic-nonmagnetic heterostructures
• Pumping in quantum dots and non-Abelian matrix Berry phases
• Quantum pumping with adiabatically modulated barriers in three-band pseudospin-1 Dirac-Weyl systems
• Pumped heat and charge statistics from Majorana braiding
• Thermal control across a chain of electronic nanocavities
• Quantum transport phenomena induced by time-dependent fields
• Heat transport and cooling performance in a nanomechanical system with local and non local interactions
• Magnetization Transfer by a Quantum Ring Device
• Resolving the order parameter of High-T${}_c$ Superconductors through quantum pumping spectroscopy
• Matter, Energy, and Heat Transfer in a Classical Ballistic Atom Pump
• Enhanced thermoelectric effects in a driven one-dimensional system
• Anharmonic Effect of Adiabatic Quantum Pumping
• Pumping current of a Luttinger liquid with finite length
• Quantum particle escape from a time-dependent confining potential
• Photo-assisted heat current and Peltier coefficient in a metal/dot/metal junction
• Transmissions in gapped graphene exposed to tilting and oscillating barriers
• Energy transport and heat production in quantum engines
• Geometric phases of scattering states in a ring geometry: adiabatic pumping in mesoscopic devices
• Interplay of Kekulé distortions and laser fields in graphene
• Anomalous exchange correlation of quasiparticles with entangled Nambu spinors