Ground State Description of a Single Vortex in an Atomic Fermi gas: From BCS to Bose-Einstein Condensation
Superconductivity
2011-09-13 v2 Quantum Gases
Strongly Correlated Electrons
Abstract
We use a Bogoliubov-de Gennes (BdG) formulation to describe a single vortex in a neutral fermionic gas. It is presumed that the attractive pairing interaction can be arbitrarily tuned to exhibit a crossover from BCS to Bose-Einstein condensation. Our starting point is the BCS-Leggett mean field ground state for which a BdG approach is microscopically justified. At strong coupling, we demonstrate that this approach is analytically equivalent to the Gross-Pitaevskii description of vortices in true bosonic systems. We analyze the sizable density depletion found for the unitary regime and relate it to the presence of unoccupied (positive energy) quasi-bound states at the core center.
Cite
@article{arxiv.cond-mat/0510647,
title = {Ground State Description of a Single Vortex in an Atomic Fermi gas: From BCS to Bose-Einstein Condensation},
author = {Chih-Chun Chien and Yan He and Qijin Chen and K. Levin},
journal= {arXiv preprint arXiv:cond-mat/0510647},
year = {2011}
}
Comments
4 pages 3 figures