Publication:
Two-particle states in the Hubbard model

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Date
2008-08-11
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Authors
Valiente Cifuentes, Manuel ; Petrosyan, David
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Publisher
IOP Publishing
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DOI
https://doi.org/10.1088/0953-4075/41/16/161002
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Description
© 2008 IOP Publishing Ltd. This document is the Published Manuscript, version of a Published Work that appeared in final form in Journal of Physics B: Atomic, Molecular and Optical Physics. To access the final edited and published work see https://doi.org/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 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.
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Citation
Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41 : 161002 (2008)
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