Goldstone and Higgs Hydrodynamics in the BCS–BEC Crossover

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)...

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Bibliographic Details
Published inCondensed matter Vol. 2; no. 2; p. 22
Main Author Salasnich, Luca
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2017
Subjects
BCS–BEC crossover
Crossovers
Fermions
Field theory
Fluid dynamics
Fluid flow
Fluids
Fourier transforms
Gases
Hydrodynamics
Investigations
Quantum field theory
Superfluidity
Variations
Velocity
Vortices
Italy
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Summary: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.
ISSN:2410-3896
2410-3896
DOI:10.3390/condmat2020022