Conditional counting statistics of electrons tunneling through quantum dot systems measured by a quantum point contact
arXiv:1711.11227 · doi:10.1103/PhysRevB.96.195440
Abstract
We theoretically study the conditional counting statistics of electron transport through a system consisting of a single quantum dot (SQD) or coherently coupled double quantum dots (DQD's) monitored by a nearby quantum point contact (QPC) using the generating functional approach with the maximum eigenvalue of the evolution equation matrix method, the quantum trajectory theory method (Monte Carlo method), and an efficient method we develop. The conditional current cumulants that are significantly different from their unconditional counterparts can provide additional information and insight into the electron transport properties of mesoscopic nanostructure systems. The efficient method we develop for calculating the conditional counting statistics is numerically stable, and is capable of calculating the conditional counting statistics for a more complex system than the maximum eigenvalue method and for a wider range of parameters than the quantum trajectory method. We apply our method to investigate how the QPC shot noise affects the conditional counting statistics of the SQD system, going beyond the treatment and parameter regime studied in the literature. We also investigate the case when the interdot coherent coupling is comparable to the dephasing rate caused by the back action of the QPC in the DQD system, in which there is considerable discrepancy in the calculated conditional current cumulants between the population rate (master-) equation approach of sequential tunneling and the full quantum master-equation approach of coherent tunneling.
arXiv comment17 pages, 10 figures
References in corpus (42)
- Quantum state engineering with Josephson-junction devices
- Electron transport through double quantum dots
- Single-shot read-out of an individual electron spin in a quantum dot
- Electron Counting Statistics and Coherent States of Electric Current
- Coherent manipulation of electronic states in a double quantum dot
- Counting statistics of single-electron transport in a quantum dot
- Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
- Manipulation of a single charge in a double quantum dot
- Microscopic derivation of rate equations for quantum transport
- Charge-qubit operation of an isolated double quantum dot
- Measurements with a noninvasive detector and dephasing mechanism
- Continuous quantum measurement of a double dot
- Current measurement by real-time counting of single electrons
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach
- Real-time detection of single electron tunneling using a quantum point contact
- Rate equations for quantum transport in multi-dot systems
- Measurement of finite-frequency current statistics in a single-electron transistor
- Quantum Measurements Performed with a Single-Electron Transistor
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Electron counting in quantum dots
- Time-Resolved Detection of Individual Electrons in a Quantum Dot
- Full counting statistics of nano-electromechanical systems
- Shot Noise Spectrum of Open Dissipative Quantum Two-level Systems
- Dynamics of a mesoscopic qubit under continuous quantum measurement
- Counting statistics and decoherence in coupled quantum dots
- Current noise in a vibrating quantum dot array
- Conditional statistics of electron transport in interacting nanoscale conductors
- Output spectrum of a detector measuring quantum oscillations
- Statistics and noise in a quantum measurement process
- Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
- Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
- Transport Statistics of Bistable Systems
- Full counting statistics of transport through two-channel Coulomb blockade systems
- Photon-mediated electron transport in hybrid circuit-QED
- Resonant Tunneling through Linear Arrays of Quantum Dots
- Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer
- Large-deviation analysis for counting statistics in mesoscopic transports
- Coulomb effects in tunneling through a quantum dot stack
- Backaction of a charge detector on a double quantum dot
- Monte Carlo Method for a Quantum Measurement Process by a Single-Electron Transistor
- Full Counting statistics of level renormalization in electron transport through double quantum dots