Inverse counting statistics based on generalized factorial cumulants
arXiv:1611.02043 · doi:10.1088/1367-2630/aa5a70
Abstract
We propose a procedure to reconstruct characteristic features of an unknown stochastic system from the long-time full counting statistics of some of the system's transitions that are monitored by a detector. The full counting statistics is conveniently parametrized by so-called generalized factorial cumulants. Taking only a few of them as input information is sufficient to reconstruct important features such as the lower bound of the system dimension and the full spectrum of relaxation rates. The use of generalized factorial cumulants reveals system dimensions and rates that are hidden for ordinary cumulants. We illustrate the inverse counting-statistics procedure for two model systems: a single-level quantum dot in a Zeeman field and a single-electron box subjected to sequential and Andreev tunneling.
23 pages, 11 figures
References in corpus (22)
- An On-Demand Coherent Single Electron Source
- Universal oscillations in counting statistics
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- 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
- Counting statistics and super-Poissonian noise in a quantum dot
- Factorial cumulants reveal interactions in counting statistics
- Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
- Non-adiabadic charge pumping in a hybrid SET transistor
- Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
- Superconducting proximity effect in interacting quantum dots revealed by shot noise
- Measuring the degeneracy of discrete energy levels using a GaAs/AlGaAs quantum dot
- Spin-induced charge correlations in transport through interacting quantum dots with ferromagnetic leads
- Full counting statistics of crossed Andreev reflection
- High-order cumulants in the counting statistics of asymmetric quantum dots
- Environmentally Activated Tunneling Events in a Hybrid Single-Electron Box
- High cumulants in the counting statistics measured for a quantum dot
- Non-equilibrium current and noise in inelastic tunneling through a magnetic atom
- Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
- Relaxation of quantum dots in a magnetic field at finite bias -- charge, spin and heat currents