Dynamics of emergent Cooper pairing at finite temperatures

Abstract

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.

4 pages, 1 figure; title edited to match the journal title

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Cited by in corpus (10)

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• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Loschmidt Echo of Far-From-Equilibrium Fermionic Superfluids
• Superconductivity near a quantum critical point in the extreme retardation regime
• Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
• A Novel Route to Reach a $p$-wave Superfluid Fermi Gas
• Nonlocality as the source of purely quantum dynamics of BCS superconductors
• Time reversal symmetry protected chaotic fixed point in the quench dynamics of a topological $p$-wave superfluid
• Critical pairing fluctuations in the normal state of a superconductor: pseudogap and quasi-particle damping
• Appropriate conditions to realize a $p$-wave superfluid state starting from a spin-orbit coupled $s$-wave superfluid Fermi gas