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Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon

2006/03/13 by Roman Barankov, R. A. Barankov, Leonid Levitov +1 · 4 citations
Computer Science · Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Dynamics and Pattern Formation #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.96.230403

published as Phys. Rev. Lett. 96, 230403 (2006)

arxiv created 2006/03/13 · openalex publication_date 2006/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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