Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon

Abstract

Fermi gas with time-dependent pairing interaction hosts several different dynamical states. Coupling between the collective BCS pairing mode and individual Cooper pair states can make the latter either synchronize or dephase. We describe transition from phase-locked undamped oscillations to Landau-damped dephased oscillations in the collisionless, dissipationless regime as a function of coupling strength. In the dephased regime, we find a second transition at which the long-time asymptotic pairing amplitude vanishes. Using a combination of numerical and analytical methods we establish a continuous (type II) character of both transitions.

References in corpus (3)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Dynamical vanishing of the order parameter in a fermionic condensate
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance

Cited by in corpus (10)

• Many-Body Physics with Ultracold Gases
• Dynamical vanishing of the order parameter in a fermionic condensate
• Quantum quenches from integrability: the fermionic pairing model
• Nonequilibrium dynamics of weakly and strongly paired superconductors
• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
• Normal and anomalous solitons in the theory of dynamical Cooper pairing
• Cooper pair turbulence in atomic Fermi gases
• Spectroscopic signatures of nonequilibrium pairing in atomic Fermi gases
• Nonequilibrium pairing instability in ultracold Fermi gases with population imbalance
• Dissipationless BCS Dynamics with Large Branch Imbalance