Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover
Abstract
We discuss the derivation of a low-energy effective field theory of phase (Goldstone) and amplitude (Higgs) modes of the pairing field from a microscopic theory of attractive fermions. The coupled equations for Goldstone and Higgs fields are critically analyzed in the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) crossover both in three spatial dimensions and in two spatial dimensions. The crucial role of pair fluctuations is investigated, and the beyond-mean-field Gaussian theory of the BCS-BEC crossover is compared with available experimental data of the two-dimensional ultracold Fermi superfluid.
Keywords
Cite
@article{arxiv.1706.05555,
title = {Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover},
author = {L. Salasnich},
journal= {arXiv preprint arXiv:1706.05555},
year = {2017}
}
Comments
13 pages, 3 figures, to be published in the Special Issue "Control and Enhancement of Quantum Coherence in Nanostructured Materials" (Eds. A. Perali and A. Ricci) of the open-access journal Condensed Matter