Fermi distribution of semicalssical non-eqilibrium Fermi states

TL;DR

This paper demonstrates that semiclassical non-equilibrium Fermi states, arising from sudden perturbations, universally follow a Fermi distribution described by Airy functions, regardless of perturbation specifics.

Contribution

It introduces the universal Airy function description of Fermi distributions in semiclassical non-equilibrium states and discusses coherent Fermi states.

Findings

Fermi distribution in semiclassical states is universal

Airy functions describe the distribution regardless of perturbation details

Provides a general discussion on coherent Fermi states

Abstract

When a classical device suddenly perturbs a degenerate Fermi gas a semiclassical non-equilibrium Fermi state arises. Semiclassical Fermi states are characterized by a Fermi energy or Fermi momentum that slowly depends on space or/and time. We show that the Fermi distribution of a semiclassical Fermi state has a universal nature. It is described by Airy functions regardless of the details of the perturbation. In this letter we also give a general discussion of coherent Fermi states.