The dynamics of developing Cooper pairing at finite temperatures

Details The dynamics of developing Cooper pairing at finite temperatures The dynamics of developing Cooper pairing at finite temperatures

2007-12-27

arxiv.org/abs/0712.4280v3

Phys. Rev. B 79, 132504 (2009)

Physics

Condensed Matter

Superconductivity

4 pages, figure fixed

Scientific paper

We study the time evolution of a system of fermions with pairing interactions at a finite temperature. The dynamics is triggered by an abrupt increase of the BCS coupling constant. We show that if initially the fermions are in a normal phase, the amplitude of the BCS order parameter averaged over the Boltzman distribution of initial states exhibits damped oscillations with a relatively short decay time. The latter is determined by the temperature, the single-particle level spacing, and the ground state value of the BCS gap for the new coupling. In contrast, the decay is essentially absent when the system was in a superfluid phase before the coupling increase.

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