Violation of detailed balance for charge-transfer statistics in Coulomb-blockade systems

Abstract

We discuss the possibility to generate in Coulomb-blockade systems steady states that violate detailed balance. This includes both voltage biased and non-biased scenarios. The violation of detailed balance yields that the charge-transfer statistics for electrons tunneling into an island experiencing strong Coulomb interaction is different from the statistics for tunneling out. This can be experimentally tested by time-resolved measurement of the island's charge state. We demonstrate this claim for two model systems.

7 pages, 6 figures

References in corpus (19)

• Universal oscillations in counting statistics
• Counting Statistics of Non-Markovian Quantum Stochastic Processes
• Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Electron counting in quantum dots
• Factorial cumulants reveal interactions in counting statistics
• Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
• Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
• A possible classification of nonequilibrium steady states
• Spin-induced charge correlations in transport through interacting quantum dots with ferromagnetic leads
• Strong suppression of shot noise in a feedback-controlled single-electron transistor
• Full counting statistics of crossed Andreev reflection
• High-order cumulants in the counting statistics of asymmetric quantum dots
• Short-time counting statistics of charge transfer in Coulomb-blockade systems
• Environmentally Activated Tunneling Events in a Hybrid Single-Electron Box
• High cumulants in the counting statistics measured for a quantum dot
• Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
• Stochastic feedback control of quantum transport to realize a dynamical ensemble of two nonorthogonal pure states

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• Nonrenewal statistics in transport through quantum dots
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• Statistical analysis of spin switching in coupled spin-crossover molecules
• Inverse counting statistics based on generalized factorial cumulants
• Photon emission statistics of a driven microwave cavity
• Nonequilibrium phase transition in a single-electron micromaser
• Nonequilibrium fluctuation-response relations for state observables
• Transport out of locally broken detailed balance