Two-particle states in the Hubbard model
arXiv:0805.1812 · doi:10.1088/0953-4075/41/16/161002
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