Dynamical Selection in Emergent Fermionic Pairing

Details Dynamical Selection in Emergent Fermionic Pairing Dynamical Selection in Emergent Fermionic Pairing

2005-08-09

arxiv.org/abs/cond-mat/0508215v1

Phys. Rev. A 73, 033614 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pgs, 9 fgs

Scientific paper

10.1103/PhysRevA.73.033614

We 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.

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