Dynamical Selection in Emergent Fermionic Pairing

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dc.creatorBarankov, R. A.
dc.creatorLevitov, L. S.
dc.date2005-08-09
dc.date.accessioned2026-07-07T09:31:43Z
dc.date.available2026-07-07T09:31:43Z
dc.descriptionWe consider evolution of a Fermi gas in the presence of a time-dependent BCS interaction. The pairing amplitude in the emergent BCS state is found to be an oscillatory function of time with predictable characteristics. The interplay of linear instability of the unpaired state and nonlinear interactions selects periodic soliton trains of a specific form, described by the Jacobi elliptic function dn. While the parameters of the soliton train, such as the period, amplitude, and time lag, fluctuate among different realizations, the elliptic function form remains robust. The parameter variation is accounted for by the fluctuations of particle distribution in the initial unpaired state.
dc.description15 pgs, 9 fgs
dc.identifierhttps://arxiv.org/abs/cond-mat/0508215
dc.identifierhttp://arxiv.org/abs/cond-mat/0508215
dc.identifierPhys. Rev. A 73, 033614 (2006)
dc.identifierdoi:10.1103/PhysRevA.73.033614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158560
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleDynamical Selection in Emergent Fermionic Pairing
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