Frequency-dependent counting statistics in interacting nanoscale conductors
arXiv:cond-mat/0703781 · doi:10.1103/PhysRevB.76.161404
Abstract
We present a formalism to calculate finite-frequency current correlations in interacting nanoscale conductors. We work within the n-resolved density matrix approach and obtain a multi-time cumulant generating function that provides the fluctuation statistics, solely from the spectral decomposition of the Liouvillian. We apply the method to the frequency-dependent third cumulant of the current through a single resonant level and through a double quantum dot. Our results, which show that deviations from Poissonian behaviour strongly depend on frequency, demonstrate the importance of finite-frequency higher-order cumulants in fully characterizing interactions.
4 pages, 2 figures, improved figures & discussion. J-ref added
References in corpus (3)
Cited by in corpus (65)
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Measurement of finite-frequency current statistics in a single-electron transistor
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Dark states in the magnetotransport through triple quantum dots
- Distributions of Waiting Times of Dynamic Single-Electron Emitters
- Factorial cumulants reveal interactions in counting statistics
- Two-Particle Dark State in the Transport through a Triple Quantum Dot
- Waiting time distributions for the transport through a quantum dot tunnel coupled to one normal and one superconducting lead
- Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
- Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
- Superconducting proximity effect in interacting quantum dots revealed by shot noise
- Finite-frequency counting statistics of electron transport: Markovian Theory
- Waiting Time Distribution of Quantum Electronic Transport in Transient Regime
- Non-Markovian effects in the Quantum noise of interacting nanostructures
- Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium
- Current Noise in Single-Molecule Junctions Induced by Electronic-Vibrational Coupling
- Tunable dynamical channel blockade in double-dot Aharonov-Bohm interferometers
- Spin-induced charge correlations in transport through interacting quantum dots with ferromagnetic leads
- Detecting quantum-coherent nanomechanical oscillations using the current-noise spectrum of a double quantum dot
- Time-dependent transport of electrons through a photon cavity
- Full-counting statistics of time-dependent conductors
- Counting statistics of cotunneling electrons
- Waiting time distribution for trains of quantized electron pulses
- Short-time counting statistics of charge transfer in Coulomb-blockade systems
- Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
- Noise spectrum of a quantum dot-resonator lasing circuit
- Quantum versus classical counting in nonMarkovian master equations
- Counting quantum jumps: a summary and comparison of fixed-time and fluctuating-time statistics in electron transport
- Maximal adaptive-decision speedups in quantum-state readout
- Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
- Higher Order Spin Noise Statistics
- Noise and full counting statistics of a Cooper pair splitter
- Time-dependent magnetotransport in an interacting double quantum wire with window coupling
- Magnetic-field influenced non-equilibrium transport through a quantum ring with correlated electrons in a photon cavity
- Waiting times of entangled electrons in normal-superconducting junctions
- Distribution of waiting times between electron cotunnelings
- Higher order spin noise spectroscopy of atomic spins in fluctuating external fields
- The influence of charge detection on counting statistics
- Frequency-dependent current noise in quantum heat transfer with full counting statistics
- Delocalization of electrons by cavity photons in transport through a quantum dot molecule
- Non-renewal statistics in quantum transport through the eyes of first-passage and waiting time distributions
- Quantum noise in ac-driven resonant-tunneling double barrier structures: Photon-assisted tunneling vs. electron anti-bunching
- Delayed feedback control in quantum transport
- Detector-induced backaction on the counting statistics of a double quantum dot
- Electron transport through a quantum dot assisted by cavity photons
- Quantum dynamics in nonequilibrium environments
- Exact finite-time correlation functions for multi-terminal setups: Connecting theoretical frameworks for quantum transport and thermodynamics
- Counting statistics of tunneling through a single molecule: effect of distortion and displacement of vibrational potential surface
- AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
- Violation of detailed balance for charge-transfer statistics in Coulomb-blockade systems
- Asymmetry of steady state current fluctuations in nonequilibrium systems
- Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
- Monitoring quantum transport: Backaction and measurement correlations
- Quantum current noise from a Born-Markov master equation
- Self-consistent electron counting statistics
- Spectral properties of stochastic resonance in quantum transport
- Conditional spin counting statistics as a probe of Coulomb interaction and spin-resolved bunching
- Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
- Photonic cross-noise spectroscopy of Majorana bound states
- Making Every Photon Count: A Quantum Polyspectra Approach to the Dynamics of Blinking Quantum Emitters at Low Photon Rates Without Binning
- How to Suppress Dark States in Quantum Networks and Bio-Engineered Structures
- Full counting statistics of Kondo-type tunneling in a quantum dot: the fluctuation effect of Slave-Boson field
- Full counting statistics of random transition-rate matrices
- Cross correlations in mesoscopic charge detection
- Revealing the internal spin dynamics in a double quantum dot by periodic voltage modulation