Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures
arXiv:cond-mat/0510680 · doi:10.1103/PhysRevB.73.075122
Abstract
We provide an exact finite temperature extension to the recently developed Riemann-Hilbert approach for the calculation of response functions in nonadiabatically perturbed (multi-channel) Fermi gases. We give a precise definition of the finite temperature Riemann-Hilbert problem and show that it is equivalent to a zero temperature problem. Using this equivalence, we discuss the solution of the nonequilibrium Fermi-edge singularity problem at finite temperatures.
10 pages, 2 figures; 2 appendices added, a few modifications in the text, typos corrected; published in Phys. Rev. B
References in corpus (1)
Cited by in corpus (17)
- Universal many-body response of heavy impurities coupled to a Fermi sea
- Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
- Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
- Non-Equilibrium Quantum Dissipation
- Quantum spin metal state on a decorated honeycomb lattice
- Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder
- The X-ray edge singularity in Quantum Dots
- Full counting statistics in the not-so-long-time limit
- Nonequilibrium functional bosonization of quantum wire networks
- Full Counting Statistics of Quantum Point Contact with Time-dependent Transparency
- Transport through nanostructures: Finite time vs. finite size
- Korshunov instantons out of equilibrium
- Polaron spectra and edge singularities for correlated flat bands
- Electron-electron correlations in a dynamical impurity system with a Fermi edge singularity
- Instantons in the out-of-equilibrium Coulomb blockade
- Spatiotemporal Spread of Fermi-edge Singularity as Time Delayed Interaction and Impact on Time-dependent RKKY Type Coupling
- Fermi-edge problem in the presence of AC electric field