Fermi edge resonances in non-equilibrium states of Fermi gases

E. Bettelheim, Y. Kaplan, P. Wiegmann

Research output: Contribution to journalArticlepeer-review

Abstract

We formulate the problem of the Fermi edge singularity in non-equilibrium states of a Fermi gas as a matrix Riemann-Hilbert problem with an integrable kernel. This formulation is the most suitable for studying the singular behavior at each edge of non-equilibrium Fermi states by means of the method of steepest descent, and also reveals the integrable structure of the problem. We supplement this result by extending the familiar approach to the problem of the Fermi edge singularity via the bosonic representation of the electronic operators to non-equilibrium settings. It provides a compact way to extract the leading asymptotes.

Original languageEnglish
Article number/282001
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number28
DOIs
StatePublished - 15 Jul 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Statistics and Probability
  • Mathematical Physics
  • Modelling and Simulation

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