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Condens. Matter 2017, 2(2), 22; doi:10.3390/condmat2020022

Goldstone and Higgs Hydrodynamics in the BCS–BEC Crossover

1
Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy
2
Istituto Nazionale di Ottica (INO) del Consiglio Nazionale delle Ricerche (CNR), Via Nello Carrara 1, 50019 Sesto Fiorentino, Italy
Academic Editors: Andrea Perali, Alessandro Ricci and Antonio Bianconi
Received: 23 April 2017 / Revised: 7 June 2017 / Accepted: 7 June 2017 / Published: 20 June 2017
View Full-Text   |   Download PDF [779 KB, uploaded 20 June 2017]   |  

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. View Full-Text
Keywords: superfluidity; BCS–BEC crossover superfluidity; BCS–BEC crossover
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Salasnich, L. Goldstone and Higgs Hydrodynamics in the BCS–BEC Crossover. Condens. Matter 2017, 2, 22.

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