Superfluidity and binary-correlations within clusters of fermions
Other Condensed Matter
2009-11-11 v1 Soft Condensed Matter
Atomic Physics
Abstract
We propose a method for simulating the behaviour of small clusters of particles that explicitly accounts for all mean-field and binary-correlation effects. Our approach leads to a set of variational equations that can be used to study both the dynamics and thermodynamics of these clusters. As an illustration of this method, we explore the BCS-BEC crossover in the simple model of four fermions, interacting with finite-range potentials, in a harmonic potential. We find, in the crossover regime, that the particles prefer to occupy two distinct pair states as opposed to the one assumed by BCS theory.
Cite
@article{arxiv.cond-mat/0511444,
title = {Superfluidity and binary-correlations within clusters of fermions},
author = {J. N. Milstein and K. Burnett},
journal= {arXiv preprint arXiv:cond-mat/0511444},
year = {2009}
}