Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects

Article

关键词: PHOTON-NUMBER STATISTICS;    ZERO-BIAS ANOMALIES;    LEE-YANG ZEROS;    QUANTUM DOTS;    UNIVERSAL OSCILLATIONS;    RESONANCE FLUORESCENCE;    SPONTANEOUS EMISSION;    MASTER-EQUATIONS;    SINGLE ELECTRONS;    CHARGE-TRANSFER;   

DOI  :  10.1103/PhysRevB.82.155407

来源: SCIE

【 摘 要 】

Recent experimental progress has made it possible to detect in real-time single electrons tunneling through Coulomb blockade nanostructures, thereby allowing for precise measurements of the statistical distribution of the number of transferred charges, the so-called full counting statistics. These experimental advances call for a solid theoretical platform for equally accurate calculations of distribution functions and their cumulants. Here we develop a general framework for calculating zero-frequency current cumulants of arbitrary orders for transport through nanostructures with strong Coulomb interactions. Our recursive method can treat systems with many states as well as non-Markovian dynamics. We illustrate our approach with three examples of current experimental relevance: bunching transport through a two-level quantum dot, transport through a nanoelectromechanical system with dynamical Franck-Condon blockade, and transport through coherently coupled quantum dots embedded in a dissipative environment. We discuss properties of high-order cumulants as well as possible subtleties associated with non-Markovian dynamics.

【 授权许可】

Free