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Fermi gas response to non-adiabatic switching of external potential

Y. Adamov·B. Mouzykantskii
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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.

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Y. Adamov, B. Mouzykantskii. 2001-05-11. Fermi gas response to non-adiabatic switching of external potential. https://doi.org/10.1103/physrevb.64.245318

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