Two-particle states in the Hubbard model

Details Two-particle states in the Hubbard model Two-particle states in the Hubbard model

2008-05-13

arxiv.org/abs/0805.1812v2

J. Phys. B: At. Mol. Opt. Phys. 41, 161002 (2008)

Physics

Quantum Physics

3 pages, 1 figure

Scientific paper

10.1088/0953-4075/41/16/161002

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.

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