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Title: Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer

Motivated by recent experiments on the real-time single-electron counting through a semiconductor GaAs double quantum dot (DQD) by a nearby quantum point contact (QPC), we develop the full-counting statistics of coupled DQD and QPC system. By utilizing the time-scale separation between the dynamics of DQD and QPC, we derive the modified master equation with tunneling rates depending on the counting fields, which fulfill the detailed fluctuation theorem. Furthermore, we derive universal relations between the non-linear corrections to the current and noise, which can be verified in experiments.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe (Germany)
  2. Department of Physics Engineering, Faculty of Engineering, Mie University, Tsu, Mie, 514-8507 (Japan)
  3. Institut für Theoretische Festkörperphysik, Karlsruhe Institute of Technology, 76128 Karlsruhe (Germany)
  4. Institut für Theoretische Festkörperphysik, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany and Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe (Germany)
Publication Date:
OSTI Identifier:
22261959
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1566; Journal Issue: 1; Conference: ICPS 2012: 31. international conference on the physics of semiconductors, Zurich (Switzerland), 29 Jul - 3 Aug 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; ELECTRIC CONTACTS; ELECTROMETERS; FLUCTUATIONS; GALLIUM ARSENIDES; QUANTUM DOTS; SEMICONDUCTOR MATERIALS; TUNNEL EFFECT