Large-deviation analysis for counting statistics in mesoscopic transports
Abstract
We present an efficient approach, based on a number-conditioned master equation, for large-deviation analysis in mesoscopic transports. Beyond the conventional full-counting-statistics study, the large-deviation approach encodes complete information of both the typical trajectories and the rare ones, in terms of revealing a continuous change of the dynamical phase in trajectory space. The approach is illustrated with two examples: (i) transport through a single quantum dot, where we reveal the inhomogeneous distribution of trajectories in general case and find a particular scale invariance point in trajectory statistics; and (ii) transport through a double dots, where we find a dynamical phase transition between two distinct phases induced by the Coulomb correlation and quantum interference.
Cite
@article{arxiv.1106.3729,
title = {Large-deviation analysis for counting statistics in mesoscopic transports},
author = {Jun Li and Yu Liu and Jing Ping and Shu-Shen Li and Xin-Qi Li and YiJing Yan},
journal= {arXiv preprint arXiv:1106.3729},
year = {2011}
}
Comments
8 pages, 3 figures