Dynamical selection in developing fermionic pairing

We consider the development of pairing in an ideal Fermi gas in the presence of a time-dependent BCS interaction. The pairing amplitude time evolution is controlled by the interplay of linear instability of the unpaired state and nonlinear interactions which limit the growth. This results in oscilla...

Full description

Saved in:

Bibliographic Details
Published in:	Physical review. A, Atomic, molecular, and optical physics Vol. 73; no. 3
Main Authors:	Barankov, R. A., Levitov, L. S.
Format:	Journal Article
Language:	English
Published:	United States 15-03-2006
Subjects:	AMPLITUDES ATOMIC AND MOLECULAR PHYSICS BCS THEORY DISTRIBUTION FERMI GAS FERMIONS FLUCTUATIONS INSTABILITY JACOBIAN FUNCTION NONLINEAR PROBLEMS PERIODICITY RANDOMNESS SOLITONS TIME DEPENDENCE
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We consider the development of pairing in an ideal Fermi gas in the presence of a time-dependent BCS interaction. The pairing amplitude time evolution is controlled by the interplay of linear instability of the unpaired state and nonlinear interactions which limit the growth. This results in oscillatory time dependence with predictable characteristics, selecting periodic soliton trains of a specific form, described by a Jacobi elliptic function. 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 fluctuations are accounted for by the randomness of particle distribution in the initial unpaired state.
ISSN:	1050-2947 1094-1622
DOI:	10.1103/PHYSREVA.73.0