Two-particle states in the Hubbard model

Abstract

We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with 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.

3 pages, 1 figure

References in corpus (3)

• Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs
• Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard model
• Quantum dynamics of one and two bosonic atoms in a combined tight-binding periodic and weak parabolic potential

Cited by in corpus (3)

• Scattering resonances and two-particle bound states of the extended Hubbard model
• Coherent shift of localized bound pair in Bose Hubbard model
• Photon-assisted tunneling in optical lattices: Ballistic transport of interacting boson pairs