Analysis of universality in transient dynamics of coherent electronic transport

Abstract

We analyze the time-dependent full-counting statistics of charges transmitted through a quantum dot in the coherent regime. The generating function for the time-dependent charge transfer statistics is evaluated numerically by discretizing the Keldysh time contour, which allows us to compute the higher order charge and current cumulants. We also develop an analytic expression for all order cumulants at any time given as a function of the zeros of the generating function, finding that the short time universality is due to the presence of a dominant single zero. The robustness of the universal features at short times is studied in both the sequential and coherent regimes.

8 pages, 6 figures, invited contribution to special volume "FQMT'15: Frontiers of Quantum and Mesoscopic Thermodynamics (Prague, Czech Republic, 27 July - 1 August 2015)"

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• Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• Short time dynamics of molecular junctions after projective measurement
• Dynamical Lee-Yang zeros for continuous-time and discrete-time stochastic processes