Fermi gas response to non-adiabatic switching of external potential
Mesoscale and Nanoscale Physics
2009-11-07 v1
Abstract
We compute analytically the distribution function P(E) for the energy E acquired by a Fermi gas after being subjected to an arbitrary time-dependent external potential (switching event). We relate the distribution function to a solution of a matrix Riemann-Hilbert problem and present explicit formulae for the low order cumulants of P(E). These general results are used to find the distribution of dissipated energy in a biased quantum point contact.
Keywords
Cite
@article{arxiv.cond-mat/0105243,
title = {Fermi gas response to non-adiabatic switching of external potential},
author = {Y. Adamov and B. Mouzykantskii},
journal= {arXiv preprint arXiv:cond-mat/0105243},
year = {2009}
}
Comments
17 pages LaTeX2e,2 real postscript figures and 12 auxilary files: output from feynmp. Needs feynmp.sty to draw Feynman diagrams