Noise calculations within the second-order von Neumann approach

Abstract

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix of the system resolved with respect to the number of transported charges enables the evaluation of the noise and higher-order cumulants of the full counting statistics. We apply this formalism to an analytically solvable model of a single-level quantum dot coupled to highly biased leads with Lorentzian energy-dependent tunnel coupling and demonstrate that, although reproducing exactly the mean current, the resonant tunneling approximation is not exact for the noise and higher order cumulants. Even if it may fail in the regime of strongly non-Markovian dynamics, this approach generically improves results of lower-order and/or Markovian approaches.

5 pages, 1 figure; little changes; very similar to the published version

References in corpus (12)

• Counting Statistics of Non-Markovian Quantum Stochastic Processes
• Quantum Shot Noise
• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Tunneling through nanosystems: Combining broadening with many-particle states
• Coherent Transport through an interacting double quantum dot: Beyond sequential tunneling
• Correlation-induced conductance suppression at level degeneracy in a quantum dot
• Weak coupling approximations in non-Markovian Transport
• Modeling of cotunneling in quantum dot systems
• Canyon of Current Suppression in an interacting two-level Quantum Dot
• Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field
• Self-consistent electron counting statistics

Cited by in corpus (4)

• Electron Waiting Times in Non-Markovian Quantum Transport
• A diagrammatic description of the equations of motion, current, and noise within the second-order von Neumann approach
• Non-Markovian Transmission through Two Quantum Dots Connected by a Continuum
• Non-Markovian full counting statistics in quantum dot molecules