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Condens. Matter 2017, 2(2), 22;

Goldstone and Higgs Hydrodynamics in the BCS–BEC Crossover

Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy
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
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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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