Stochastic Path Integral Formulation of Full Counting Statistics
介观与纳米尺度物理
2009-11-07 v1 统计力学
摘要
We derive a stochastic path integral representation of counting statistics in semi-classical systems. The formalism is introduced on the simple case of a single chaotic cavity with two quantum point contacts, and then further generalized to find the propagator for charge distributions with an arbitrary number of counting fields and generalized charges. The counting statistics is given by the saddle point approximation to the path integral, and fluctuations around the saddle point are suppressed in the semi-classical approximation. We use this approach to derive the current cumulants of a chaotic cavity in the hot-electron regime.
引用
@article{arxiv.cond-mat/0212446,
title = {Stochastic Path Integral Formulation of Full Counting Statistics},
author = {S. Pilgram and A. N. Jordan and E. V. Sukhorukov and M. Buttiker},
journal= {arXiv preprint arXiv:cond-mat/0212446},
year = {2009}
}
备注
4 pages, 1 eps figure, REVTeX