Superfluid hydrodynamics of polytropic gases: dimensional reduction and sound velocity
Authors: Bellomo N., Mazzarella G., Salasnich L.
Autors Affiliation: Dipartimento di Fisica e Astronomia ‘Galileo Galilei’, Università di Padova, Via Marzolo 8, I-35131-Padova, Italy; Dipartimento di Fisica e Astronomia ‘Galileo Galilei’ and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy
Abstract: Motivated by the fact that two-component confined fermionic gases in Bardeen-Cooper- Schrieffer-Bose-Einstein condensate (BCS-BEC) crossover can be described through an hydrodynamical approach, we study these systems-both in the cigar-shaped configuration and in the disc-shaped one-by using a polytropic Lagrangian density. We start from the Popov Lagrangian density and obtain, after a dimensional reduction process, the equations that control the dynamics of such systems. By solving these equations we study the sound velocity as a function of the density by analyzing how the dimensionality affects this velocity.
Journal/Review: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume: 47 (9) Pages from: 095201 to: 095201
More Information: This work has been supported by MIUR (PRIN 2010LLKJBX). GM and LS acknowledge financial support from the University of Padova (Progetto di Ateneo 2011) and Cariparo Foundation (Progetto di Eccellenza 2011). GM acknowledges financial support also from Progetto Giovani 2011 of University of Padova.KeyWords: trapped ultracold fermionic gases; reduced dimensionality systems; hydrodynamicsDOI: 10.1088/1751-8113/47/9/095201Connecting to view paper tab on IsiWeb: Click here