Fermi gas response to non-adiabatic switching of external potential

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.

17 pages LaTeX2e,2 real postscript figures and 12 auxilary files: output from feynmp. Needs feynmp.sty to draw Feynman diagrams

References in corpus (1)

• Counting statistics of charge pumping in an open system

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