Counting Statistics in Multi-stable Systems

Abstract

Using a microscopic model for stochastic transport through a single quantum dot that is modified by the Coulomb interaction of environmental (weakly coupled) quantum dots, we derive generic properties of the full counting statistics for multi-stable Markovian transport systems. We study the temporal crossover from multi-modal to broad uni-modal distributions depending on the initial mixture, the long-term asymptotics and the divergence of the cumulants in the limit of a large number of transport branches. Our findings demonstrate that the counting statistics of a single resonant level may be used to probe background charge configurations.

slighly expanded explanations, PRB in press

References in corpus (7)

• Universal oscillations in counting statistics
• Full counting statistics of nano-electromechanical systems
• Preservation of Positivity by Dynamical Coarse-Graining
• 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
• The speed of Markovian relaxation towards the ground state

Cited by in corpus (19)

• Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• First-passage times in renewal and nonrenewal systems
• Short-time counting statistics of charge transfer in Coulomb-blockade systems
• Criticality in transport through the quantum Ising chain
• A low-dimensional detector model for full counting statistics: Trajectories, Back-Action, and Fidelity
• Nonrenewal statistics in transport through quantum dots
• Incomplete current fluctuation theorems for a four-terminal model
• Waiting time distribution revealing the internal spin dynamics in a double quantum dot
• Diverging current fluctuations in critical Kerr resonators
• Reverse quantum state engineering using electronic feedback loops
• Full counting statistics as a probe of quantum coherence in a side-coupled double quantum dot system
• Inverse counting statistics based on generalized factorial cumulants
• Relaxation dynamics in double-spin systems
• Proposal of a realistic stochastic rotor engine based on electron shuttling
• Counting statistics of dark-state transport through a carbon nanotube quantum dot
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Full counting statistics and first-passage times in quantum Markovian processes: Ensemble relations, metastability, and fluctuation theorems
• Counting statistics for mesoscopic conductors with internal degrees of freedom