Voltage and dephasing probes: a full counting statistics discussion
arXiv:cond-mat/0609544 · doi:10.1103/PhysRevB.75.035340
Abstract
Voltage and dephasing probes introduce incoherent inelastic and incoherent quasi-elastic scattering into a coherent mesoscopic conductor. We discuss in detail the concepts of voltage and dephasing probes and develop a full counting statistics approach to investigate their effect on the transport statistics. The formalism is applied to several experimentally relevant examples. A comparison of different probe models and with procedures like phase averaging over an appropriate phase distribution shows that there is a perfect equivalence between the models for the case of one single-channel probe. Interestingly, the appropriate phase distribution function is found to be uniform. A uniform distribution is provided by a chaotic cavity with a long dwell time. The dwell time of a chaotic cavity plays a role similar to the charge response time of a voltage or dephasing probe. For multi-channel or multiple probes the transport statistics of voltage and dephasing probes differs and the equivalence with phase averaging is similarly lost.
18 pages, 11 figures
References in corpus (40)
- Shot Noise in Mesoscopic Conductors
- Random-Matrix Theory of Quantum Transport
- Electron Counting Statistics and Coherent States of Electric Current
- An Electronic Mach-Zehnder Interferometer
- Electrical resistance: an atomistic view
- Stochastic Path Integral Formulation of Full Counting Statistics
- The 1/3-shot noise suppression in diffusive nanowires
- Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
- Four-point resistance of individual single-wall carbon nanotubes
- Charge fluctuation induced dephasing in a gated mesoscopic interferometer
- Semiclassical theory of shot noise in mesoscopic conductors
- Fluctuation Statistics in Networks: a Stochastic Path Integral Approach
- Effect of inelastic scattering on parametric pumping
- Effect of incoherent scattering on shot noise correlations in the quantum Hall regime
- Visibility of current and shot noise in electrical Mach-Zehnder and Hanbury Brown Twiss interferometers
- Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer
- The Hanbury Brown and Twiss Experiment with Fermions
- Quantum-Statistical Current Correlations in Multi-Lead Chaotic Cavities
- Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
- Decoherence and Full Counting Statistics in a Mach-Zehnder Interferometer
- Full counting statistics for voltage and dephasing probes
- Positive Cross Correlations in a Normal-Conducting Fermionic Beam Splitter
- Scattering matrix ensemble for time-dependent transport through a chaotic quantum dot
- The electron lifetime in Luttinger liquids
- Cascade approach to current fluctuations in a chaotic cavity
- Feedback of the electromagnetic environment on current and voltage fluctuations out of equilibrium
- Probe-configuration dependent dephasing in a mesoscopic interferometer
- Effect of Dephasing on Charge-Counting Statistics in Chaotic Cavities
- Fermionic Mach-Zehnder interferometer subject to a quantum bath
- Antiresonances as precursors of decoherence
- Noise and Measurement Efficiency of a Partially Coherent Mesoscopic Detector
- Electron-electron scattering effects on the Full Counting Statistics of Mesoscopic Conductors
- Electron fractionalization induced dephasing in Luttinger liquids
- Mesoscopic Full Counting Statistics and Exclusion models
- Mesoscopic versus Macroscopic division of current fluctuations
- Effect of inelastic scattering on spin entanglement detection through current noise
- Temperature induced phase averaging in one-dimensional mesoscopic systems
- Feedback effects on the current correlations in Y-shaped conductors
- Stub model for dephasing in a quantum dot
- Clauser-Horne inequality and decoherence in mesoscopic conductors
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- ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs
- Mach-Zehnder interferometry with periodic voltage pulses
- Temperature and voltage measurement in quantum systems far from equilibrium
- Inelastic effects in molecular transport junctions: The probe technique at high bias
- Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
- Ballistic Thermal Rectification in Asymmetric Three-Terminal Mesoscopic Dielectric Systems
- Semiclassical approach to the ac-conductance of chaotic cavities
- Dephasing in quantum chaotic transport: a semiclassical approach
- Quantum analysis of shot noise suppression in a series of tunnel barriers
- Fluctuation theorem for heat transport probed by a thermal electrode
- Thermodynamic performance of hot-carrier solar cells: A quantum transport model
- Thermoelectric Corrections to Quantum Voltage Measurement
- Flux-dependent occupations and occupation difference in geometrically symmetric and energy degenerate double-dot Aharonov-Bohm interferometers
- Quantum teleportation of single-electron states
- Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
- Dynamical Mean-Field Theory for spin-dependent electron transport in spin-valve devices
- Effect of incoherent scattering on three-terminal quantum Hall thermoelectrics
- Current-voltage correlations in interferometers
- Electron transport in an open mesoscopic metallic ring
- Charge and spin polarized currents in mesoscopic rings with Rashba spin-orbit interactions coupled to an electron reservoir
- Towards equilibration and thermalization between finite quantum systems: The role of dephasing effects and inelastic interactions
- Quantum pump driven fermionic Mach-Zehnder interferometer
- Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference
- Temperature and magnetic-field dependence of the quantum corrections to the conductance of a network of quantum dots
- Strange meson-baryon interaction in hot and dense medium: recent progress for a road to GSI/FAIR
- Ballistic Electron Quantum Transport in Presence of a Disordered Background
- Random-phase reservoir and a quantum resistor: The Lloyd model
- Full counting statistics for noninteracting fermions: Joint probability distributions
- Optimizing energy conversion with nonthermal resources in steady-state quantum devices
- A comparative study of two phenomenological models of dephasing in series and parallel resistors
- Monitored quantum transport: full counting statistics of a quantum Hall interferometer
- Decohering d-dimensional quantum resistance
- Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law
- Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes
- Shot noise from which-path detection in a chiral Majorana interferometer
- Extrinsic thermoelectric response of coherent conductors
- Residual quantum coherent electron transport in doped graphene leads
- Emergence of the 2nd Law in an Exactly Solvable Model of a Quantum Wire