Two-particle states in the Hubbard model

Manuel Valiente Cifuentes, D. Petrosyan

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87 Citations (Scopus)

Abstract

We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with an attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle states, which can be classified as (i) scattering states of asymptotically free particles and (ii) interaction-bound dimer states. Our results provide a very transparent framework to understand the properties of interacting pairs of particles in a lattice.

Original languageEnglish
Article number161002
Number of pages4
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume41
Issue number16
DOIs
Publication statusPublished - 28 Aug 2008

Keywords

  • OPTICAL LATTICES
  • ULTRACOLD ATOMS

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