The European Physical Journal B

, Volume 68, Issue 3, pp 417–426 | Cite as

Ultracold bosons with 3-body attractive interactions in an optical lattice

  • E. FersinoEmail author
  • B. A. Malomed
  • G. Mussardo
  • A. Trombettoni


We study the effect of an optical lattice (OL) on the ground-state properties of one-dimensional ultracold bosons with three-body attractive interactions and two-body repulsive interactions, which are described by a cubic-quintic Gross-Pitaevskii equation with a periodic potential. Without the optical lattice and with a vanishing two-body interaction term, normalizable soliton solutions of the Townes type are possible only at a critical value of the interaction strength, at which an infinite degeneracy of the ground state occurs; a repulsive two-body interaction makes such localized solutions unstable. We show that the OL opens a stability window around the critical point when the strength of the periodic potential is above a critical threshold. We also consider the effect of an external parabolic trap, studying how the stability properties depend on the matching between minima of the periodic potential and the minimum of the parabolic trap.


03.75.-b Matter waves 67.85.-d Ultracold gases, trapped gases 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • E. Fersino
    • 1
    • 2
    Email author
  • B. A. Malomed
    • 3
  • G. Mussardo
    • 1
    • 2
    • 4
  • A. Trombettoni
    • 1
    • 2
  1. 1.International School for Advanced StudiesTriesteItaly
  2. 2.Istituto Nazionale di Fisica NucleareSezione di TriesteItaly
  3. 3.Department of Physical ElectronicsSchool of Electrical Engineering, Faculty of Engineering, Tel Aviv UniversityTel AvivIsrael
  4. 4.Abdus Salam International Centre of Theoretical Physics, Strada Costiera 11TriesteItaly

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