Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0902.2382 · Physica E Low-dimensional Systems and Nanostructures

Charge conservation breaking within a generalized master equation description of electronic transport through dissipative double quantum dots

Jan Prachař, Tomáš Novotný

Published Jun 25, 2009• 7 citations
arXivHTMLPDF
DOI
10.1016/j.physe.2009.06.026

Related papers

Influence of Superconducting Leads Energy Gap on Electron Transport Through Double Quantum Dot by Markovian Quantum Master Equation Approach

E. Afsaneh, H. Yavari

arXiv:1412.3470•Few-Body Systems•Jan 31, 2014•2 citations

Ground State Properties and Electron Transport in Parallel Double Quantum Dot System with Charge Number N tot ≤ 2

Yong‐Chen Xiong, Shi‐Jun Luo, Hai-Ming Huang +1 more

Journal of Superconductivity and Novel Magnetism•Apr 24, 2015•4 citations

Coherent electron charge and spin transport in a Silicon double quantum dot

Xinyu Zhao, Xuedong Hu

Bulletin of the American Physical Society•Mar 5, 2018•0 citations

The influence of charge detection on counting statistics

Alessandro Braggio, Christian Flindt, Tomáš Novotný

We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of electrons on the double dot is detected with a nearby quantum point contact. Charge transport through the double dot is governed by a non-Markovian generalized master equation. We describe how the cumulants of the current can be obtained for such problems, and investigate the difference between the dephasing mechanisms induced by the quantum point contact and the coupling to the external heat bath. Finally, we consider various open questions of relevance to future research.

arXiv:0809.1837•Journal of Statistical Mechanics Theory and Experiment•Jan 8, 2009•24 citations

Quantum-critical transitions and dissipation in double quantum dots

Kevin Ingersent

Bulletin of the American Physical Society•Mar 19, 2010•0 citations

Electron waiting times in non-Markovian quantum transport

Konrad H. Thomas, Christian Flindt

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.

arXiv:1211.4995•Physical Review B•Mar 15, 2013•60 citations
We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of electrons on the double dot is detected with a nearby quantum point contact. Charge transport through the double dot is governed by a non-Markovian generalized master equation. We describe how the cumulants of the current can be obtained for such problems, and investigate the difference between the dephasing mechanisms induced by the quantum point contact and the coupling to the external heat bath. Finally, we consider various open questions of relevance to future research.
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.