Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem

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dc.creatorBarankov, R A
dc.creatorLevitov, L S
dc.creatorSpivak, B Z
dc.date2003-12-02
dc.date.accessioned2026-07-07T09:31:42Z
dc.date.available2026-07-07T09:31:42Z
dc.descriptionMotivated by recent efforts to achieve cold fermions pairing near a Feshbach resonance, we consider the dynamics of formation of the Bardeen-Cooper-Schrieffer (BCS) state. At times shorter than the quasiparticle energy relaxation time, after the interaction is turned on, the dynamics of the system is nondissipative. We show that this collective nonlinear evolution of the BCS-Bogoliubov amplitudes (u,v) along with the pairing function, is an integrable dynamical problem, and obtain a family of exact solutions in the form of single solitons and soliton trains. We interpret the collective oscillations as Bloch precession of Anderson pseudospins, where each soliton causes a pseudospin full Rabi rotation. Numerical simulations demonstrate robustness of the solitons with respect to noise and damping.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0312053
dc.identifierhttp://arxiv.org/abs/cond-mat/0312053
dc.identifierPhys. Rev. Lett. 93, 160401 (2004)
dc.identifierdoi:10.1103/PhysRevLett.93.160401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158552
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.subjectAtomic Physics
dc.titleSolitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
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