Electron waiting times in non-Markovian quantum transport

2012/11/21 by Konrad H. Thomas, Konrad Thomas, Christian Flindt · 6 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.87.121405

published as Phys. Rev. B 87, 121405(R) (2013) · 4+ pages, 3 figures

arxiv created 2012/11/21 · openalex publication_date 2013/03/15 · arxiv updated 2013/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We formulate a quantum theory of electron waiting time distributions for charge transport in nanostructures 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.

Citations

• Waiting time distributions of electron transfers through quantum dot Aharonov-Bohm interferometers
• Quantum-state engineering with Josephson-junction devices
• Shot Noise Spectrum of Open Dissipative Quantum Two-Level Systems
• Asymmetric Quantum Shot Noise in Quantum Dots
• Weak-coupling approximations in non-Markovian transport

Cited by

• Distributions of electron waiting times in quantum-coherent conductors
• Electron Waiting Times of a Cooper Pair Splitter
• Counting quantum jumps: A summary and comparison of fixed-time and fluctuating-time statistics in electron transport
• Heat-exchange statistics in driven open quantum systems
• Quantum theory of an electron waiting time clock
• Electron waiting times for the mesoscopic capacitor

Related

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• Non-Markovian full counting statistics in quantum dot molecules
• Non-Markovian master equation for quantum transport of fermionic carriers