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 language | English |
---|---|
Article number | /282001 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 44 |
Issue number | 28 |
DOIs | |
State | Published - 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