Scattering resonances and two-particle bound states of the extended Hubbard model

D. Petrosyan, Manuel Valiente Cifuentes

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Abstract

We present a complete derivation of two-particle states of the one-dimensional extended Bose-Hubbard model involving attractive or repulsive on-site and nearest-neighbour interactions. We find that this system possesses scattering resonances and two families of energy-dependent interaction-bound states which are not present in the Hubbard model with the on-site interaction alone.

Original languageEnglish
Article number121001
Number of pages4
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume42
Issue number12
DOIs
Publication statusPublished - 28 Jun 2009

Keywords

  • OPTICAL LATTICES
  • IMPENETRABLE BOSONS
  • POLAR-MOLECULES
  • GAS
  • CONFINEMENT
  • TRANSITION
  • SUPERFLUID
  • INSULATOR
  • SYSTEMS
  • PHYSICS

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