Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon

R. A. Barankov and L. S. Levitov
Phys. Rev. Lett. 96, 230403 – Published 16 June 2006

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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  • Received 12 March 2006

DOI:https://doi.org/10.1103/PhysRevLett.96.230403

©2006 American Physical Society

Authors & Affiliations

R. A. Barankov1 and L. S. Levitov2

  • 1Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St, Urbana, Illinois 61801, USA
  • 2Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, Massachusetts 02139, USA

See Also

Dynamical Vanishing of the Order Parameter in a Fermionic Condensate

Emil A. Yuzbashyan and Maxim Dzero
Phys. Rev. Lett. 96, 230404 (2006)

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Vol. 96, Iss. 23 — 16 June 2006

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