Full counting statistics for electron transport in periodically driven quantum dots
arXiv:2008.12652 · doi:10.1103/PhysRevB.102.195409
Abstract
Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum transport. Giving access to all cumulants of the current, the full counting statistics (FCS) is the powerful theoretical method to study fluctuations in nonequilibrium quantum systems. In this paper, we propose the application of FCS to consider periodic driven junctions. The combination of Floquet theory for time dynamics and nonequilibrium counting-field Green's functions enables the practical formulation of FCS for the system. The counting-field Green's functions are used to compute the moment generating function, allowing for the calculation of the time-averaged cumulants of the electronic current. The theory is illustrated using different transport scenarios in model systems.
arXiv commentTypos were fixed within the paper
References in corpus (55)
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Electron Counting Statistics and Coherent States of Electric Current
- Driven quantum transport on the nanoscale
- Photon-assisted transport in semiconductor nanostructures
- Floquet scattering theory of quantum pumps
- Single-electron current sources: towards a refined definition of ampere
- Time-Dependent Partition-Free Approach in Resonant Tunneling Systems
- Resonant Photon-Assisted Tunneling Through a Double Quantum Dot: An Electron Pump From Spatial Rabi Oscillations
- Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
- Coherent States of Alternating Current,
- Current partition: Nonequilibrium Green's function Approach
- Scattering Theory of Photon-Assisted Electron Transport
- Tunable Fano effect in parallel-coupled double quantum dot system
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Nonequilibrium current driven by a step voltage pulse: an exact solution
- Dynamical energy transfer in ac driven quantum systems
- Towards full counting statistics for the Anderson impurity model
- A Green-function approach to transport phenomena in quantum pumps
- Current Noise in ac-Driven Nanoscale Conductors
- Adiabatic quantum pump in the presence of external ac voltages
- A 17 GHz Molecular Rectifier
- Photon-assisted electron transport in graphene
- Electron-phonon interaction and full counting statistics in molecular junctions
- Adiabatic response and quantum thermoelectrics for ac driven quantum systems
- Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
- Full-counting statistics of charge and spin transport in the transient regime: A nonequilibrium Green's function approach
- Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
- Elementary events of electron transfer in a voltage-driven quantum point contact
- Time-dependent Landauer-Büttiker formula: application to transient dynamics in graphene nanoribbons
- Superconducting atomic contacts under microwave irradiation
- Time-Dependent Transport Through Molecular Junctions
- Self-consistent ac quantum transport using nonequilibrium Green functions
- Inelastic scattering and heating in a molecular spin pump
- Truncation method for Green's functions in time-dependent fields
- Full-counting statistics of time-dependent conductors
- Noise Spectra of ac-driven quantum dots
- Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias
- Full-counting statistics of transient energy current in mesoscopic systems
- Photon-assisted electron transport through a three-terminal quantum dot system with nonresonant tunneling channels
- Influence of microwave fields on the electron transport through a quantum dot in the presence of a direct tunneling between leads
- Photon-assisted-tunneling in a coupled double quantum dot out of thermal equilibrium
- Time-dependent factorial cumulants in interacting nano-scale systems
- Phase transitions in full counting statistics for periodic pumping
- Photon-assisted Fano Resonance and Corresponding Shot-Noise in a Quantum Dot
- Optical properties of periodically-driven open nonequilibrium quantum systems
- Timescale separation solution of Kadanoff-Baym equations for quantum transport in time-dependent fields
- Noise of Kondo dot with ac gate: Floquet-Green's function and Noncrossing Approximation Approach
- Quantum transport under AC drive from the leads : A Quantum Master Equation approach
- Full Counting Statistics of a Non-adiabatic Electron Pump
- Full Counting Statistics of Quantum Point Contact with Time-dependent Transparency
- AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
- Effects of Coulomb interaction on photon-assisted current noises through a quantum dot
- Statistics of an adiabatic charge pump
- Charge pumping in strongly-coupled molecular quantum dots
Cited by in corpus (5)
- A many-body approach to transport in quantum systems: From the transient regime to the stationary state
- Unified Light-Matter Floquet Theory and its Application to Quantum Communication
- Quantum transport in driven systems with vibrations: Floquet nonequilibrium Green's functions and the GD approximation
- Quantum transport phenomena induced by time-dependent fields
- Quantum thermodynamics under continuous monitoring: a general framework