Full counting statistics for electron transport in periodically driven quantum dots

2020/08/31 by Thomas D. Honeychurch, Daniel S. Kosov · 17 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Cumulant #Field (mathematics) #Floquet theory #Function (biology) #Mathematics #Molecular Junctions and Nanostructures #Noise (video) #Non-equilibrium thermodynamics #Observable #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Statistics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.102.195409

published in Physical review. B./Physical review. B 102(19) (American Physical Society) · Typos were fixed within the paper

openalex publication_date 2020/11/06 · arxiv created 2020/11/24 · arxiv updated 2020/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 about the 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.

Citations

• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Electron counting statistics and coherent states of electric current
• Superconducting Atomic Contacts under Microwave Irradiation
• Driven quantum transport on the nanoscale
• Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
• Inelastic scattering and heating in a molecular spin pump
• Green-function approach to transport phenomena in quantum pumps
• Resonant Photon-Assisted Tunneling through a Double Quantum Dot: An Electron Pump from Spatial Rabi Oscillations
• Photon-assisted Fano resonance and corresponding shot noise in a quantum dot
• Elementary Events of Electron Transfer in a Voltage-Driven Quantum Point Contact
• Influence of microwave fields on electron transport through a quantum dot in the presence of direct tunneling between leads
• Photon-assisted electron transport through a three-terminal quantum dot system with nonresonant tunneling channels