Phys. Rev. B 73, 075122 (2006) [9 pages]Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at nonzero temperaturesReceived 30 October 2005; revised 10 January 2006; published 28 February 2006 We provide an exact finite temperature extension to the recently developed Riemann-Hilbert approach for the calculation of response functions in nonadiabatically perturbed (multichannel) 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.73.075122
DOI:
10.1103/PhysRevB.73.075122
PACS:
72.10.Fk, 71.10.Ca, 72.15.Qm
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