Eur. Phys. J. D (2013) 67: 129
https://doi.org/10.1140/epjd/e2013-40114-6

Regular Article

The BEC-BCS crossover in ultracold Fermi gases beyond the contact-potential approximation

¹ Interdisciplinary Laboratory for Computational Science (LISC), FBK-CMM and University of Trento, Via Sommarive 18, 38123 Trento, Italy
² Department of Physics, University of Trento, Via Sommarive 14, 38123 Trento, Italy
³ Istituto Nazionale di Fisica Nucleare (INFN), Perugia, Italy
⁴ Department of Chemistry, University of Bologna, Via F. Selmi 2, 40126 Bologna, Italy
⁵ Department of Physics, University of Camerino, Via Madonna delle Carceri 9, 62032 Camerino, Italy

^a e-mail: garberoglio@fbk.eu

Received: 1 March 2013
Received in final form: 29 April 2013
Published online: 27 June 2013

Abstract

In this work we apply a theoretical and computational method to the calculation of the observables of ⁶Li and ⁴⁰K gases along the crossover from the BCS to the BEC states. This approach – based on the mean-field Bogoliubov-de Gennes equations – enables us to go beyond the Fermi contact interaction that is generally used to study ultracold Fermi gases, and investigate the effect of the finite potential range on the principal observables in these systems. Furthermore, a detailed description of the logical steps and of the ensuing numerical algorithms is discussed.