Coherent dynamics in stochastic systems revealed by full counting statistics

Abstract

Stochastic systems feature, in general, both coherent dynamics and incoherent transitions between different states. We propose a method to identify the coherent part in the full counting statistics for the transitions. The proposal is illustrated for electron transfer through a quantum-dot spin valve, which combines quantum-coherent spin precession with electron tunneling. We show that by counting the number of transferred electrons as a function of time, it is possible to distill out the coherent dynamics from the counting statistics even in transport regimes, in which other tools such as the frequency-dependent current noise and the waiting-time distribution fail.

7 pages, 7 figures

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• Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity
• Electronic statistics-on-demand: bunching, anti-bunching, positive and negative correlations in a molecular spin-valve
• Statistical analysis of spin switching in coupled spin-crossover molecules
• Waiting time distributions in a two-level fluctuator coupled to a superconducting charge detector
• Relaxation dynamics in double-spin systems
• Microscopic biasing of discrete-time quantum trajectories
• Waiting-times statistics in boundary driven free fermion chains
• Stochastic thermodynamics of an electron-spin-resonance quantum dot system
• Interaction-induced current asymmetries in resonant transport through interacting quantum-dot spin valves revealed by iterative summation of path integrals
• Coherent time-dependent oscillations and temporal correlations in triangular triple quantum dots
• Synchronized coherent charge oscillations in coupled double quantum dots