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Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover

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Localized Excitations in Nonlinear Complex Systems

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 7))

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Abstract

In the first part of this chapter we analyze the contact intensity C, which has been introduced by Tan (Ann Phys 323:2952 (2008)) and appears in several physical observables of the strongly correlated two-component Fermi gas. We calculate the contact C in the full BCS-BEC crossover for a uniform superfluid Fermi gas by using an efficient parametetrization of the ground-state energy. In the case of harmonic confinement, within the Thomas-Fermi approximation, we derive analytical formulas of C in the three relevant limits of the crossover. In the second part of this chapter we discuss the extended superfluid hydrodynamics we have recently proposed to describe static and dynamical collective properties of the Fermi gas in the BCS-BEC crossover. In particular we show the relation with the effective theory for the Goldstone field derived by Son and Wingate (Ann Phys 321, 197 (2006)) on the basis of conformal invariance. By using our equations of extended hydrodynamics we determine nonlinear sound waves, static response function and structure factor of a generic superfluid at zero temperature.

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Authors and Affiliations

  1. Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35122, Padova, Italy

    Luca Salasnich

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  1. Luca Salasnich
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Correspondence to Luca Salasnich .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics and Statistics, San Diego State University, San Diego, California, USA

    Ricardo Carretero-González

  2. Dept. de Física Aplicada I, Escuela Politécnica Superior, University of Sevilla, Sevilla, Spain

    Jesús Cuevas-Maraver

  3. Dept. of Physics, University of Athens, Athens, Greece

    Dimitri Frantzeskakis

  4. Dept. of Mathematics, University of the Aegean, Samos, Greece

    Nikos Karachalios

  5. Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts, USA

    Panayotis Kevrekidis

  6. Dept. de Física Aplicada I, E.T.S.I. Informática, University of Sevilla, Sevilla, Spain

    Faustino Palmero-Acebedo

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Salasnich, L. (2014). Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover. In: Carretero-González, R., Cuevas-Maraver, J., Frantzeskakis, D., Karachalios, N., Kevrekidis, P., Palmero-Acebedo, F. (eds) Localized Excitations in Nonlinear Complex Systems. Nonlinear Systems and Complexity, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-02057-0_6

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  • DOI: https://doi.org/10.1007/978-3-319-02057-0_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02056-3

  • Online ISBN: 978-3-319-02057-0

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