Electron Waiting Times in Non-Markovian Quantum Transport

Abstract

We formulate a quantum theory of electron waiting time distributions for charge transport in nano-structures described by non-Markovian generalized master equations. We illustrate our method by calculating the waiting time distribution of electron transport through a dissipative double quantum dot, where memory effects are present due to a strongly coupled heat bath. We consider the influence of non-Markovian dephasing on the distribution of electron waiting times and discuss how spectral properties of the heat bath may be detected through measurements of the electron waiting time.

4+ pages, 3 figures

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Cited by in corpus (13)

• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Electron Waiting Times in Mesoscopic Conductors
• Heat-exchange statistics in driven open quantum systems
• Distributions of electron waiting times in quantum-coherent conductors
• Electronic waiting-time distribution of a quantum-dot spin valve
• Electron waiting times in coherent conductors are correlated
• Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction
• Electron waiting times of a periodically driven single-electron turnstile
• Finite-frequency noise in a quantum dot with normal and superconducting leads
• Non-renewal statistics for electron transport in a molecular junction with electron-vibration interaction
• First Passage Times for Continuous Quantum Measurement Currents
• Non-renewal statistics in quantum transport through the eyes of first-passage and waiting time distributions
• Waiting time statistics for a double quantum dot coupled with an optical cavity