The influence of charge detection on counting statistics

Abstract

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.

15 pages, 2 figures, Contribution to 5-th International Conference on Unsolved Problems on Noise, Lyon, France, June 2-6, 2008

References in corpus (21)

• Quantum state engineering with Josephson-junction devices
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Electron Counting Statistics and Coherent States of Electric Current
• Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
• Microscopic derivation of rate equations for quantum transport
• Measurements with a noninvasive detector and dephasing mechanism
• Time-dependent resonant tunneling via two discrete states
• Environmental effects in the third moment of voltage fluctuations in a tunnel junction
• Selective quantum evolution of a qubit state due to continuous measurement
• Counting Statistics of Non-Markovian Quantum Stochastic Processes
• Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Full counting statistics of nano-electromechanical systems
• Shot Noise Spectrum of Open Dissipative Quantum Two-level Systems
• Noise enhancement due to quantum coherence in coupled quantum dots
• Current noise in a vibrating quantum dot array
• Frequency-dependent counting statistics in interacting nanoscale conductors
• Counting statistics and detector properties of quantum point contacts
• Spectrum of qubit oscillations from Bloch equations
• Signatures of fractional Hall quasiparticles in moments of current through an antidot
• Non-Markovian dynamics in the theory of full counting statistics

Cited by in corpus (16)

• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Non-equilibrium spin-boson model: counting statistics and the heat exchange fluctuation theorem
• Electron Waiting Times in Non-Markovian Quantum Transport
• Weak coupling approximations in non-Markovian Transport
• Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer
• Counting statistics of cotunneling electrons
• Time-dependent factorial cumulants in interacting nano-scale systems
• Detector-induced backaction on the counting statistics of a double quantum dot
• Full counting statistics of renormalized dynamics in open quantum transport system
• Qubit quantum-dot sensors: noise cancellation by coherent backaction, initial slips, and elliptical precession
• Self-consistent electron counting statistics
• Real-time counting of single electron tunneling through a T-shaped double quantum dot system
• Monitoring quantum transport: Backaction and measurement correlations
• Charge-photon transport statistics and short-time correlations in a single quantum dot-resonator system with arbitrarily large coupling parameter
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Cross correlations in mesoscopic charge detection