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The European Physical Journal B

, Volume 68, Issue 3, pp 293–308 | Cite as

Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap

  • G. RouxEmail author
  • S. Capponi
  • P. Lecheminant
  • P. Azaria
Article

Abstract

We study spin 3/2 fermionic cold atoms with attractive interactions confined in a one-dimensional optical lattice. Using numerical techniques, we determine the phase diagram for a generic density. For the chosen parameters, one-particle excitations are gapped and the phase diagram is separated into two regions: one where the two-particle excitation gap is zero, and one where it is finite. In the first region, the two-body pairing fluctuations (BCS) compete with the density ones. In the other one, a molecular superfluid (MS) phase, in which bound-states of four particles form, competes with the density fluctuations. The properties of the transition line between these two regions is studied through the behavior of the entanglement entropy. The physical features of the various phases, comprising leading correlations, Friedel oscillations, and excitation spectra, are presented. To make the connection with experiments, the effect of a harmonic trap is taken into account. In particular, we emphasize the conditions under which the appealing MS phase can be realized, and how the phases could be probed by using the density profiles and the associated structure factor. Lastly, the consequences on the flux quantization of the different nature of the pairing in the BCS and MS phases are studied in a situation where the condensate is in a ring geometry.

PACS

03.75.Mn Multicomponent condensates; spinor condensates 71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) 71.10.Fd Lattice fermion models (Hubbard model, etc.) 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • G. Roux
    • 1
    Email author
  • S. Capponi
    • 2
  • P. Lecheminant
    • 3
  • P. Azaria
    • 4
  1. 1.Institute for Theoretical Physics C, RWTH Aachen UniversityAachenGermany
  2. 2.Laboratoire de Physique Théorique - IRSAMC, UPS and CNRS, Université de Toulouse 31062 ToulouseToulouseFrance
  3. 3.Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, CNRSCergy-PontoiseFrance
  4. 4.Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie, CNRSParisFrance

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