Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity
Disordered Systems and Neural Networks
2017-05-23 v3 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Quantum Physics
Abstract
We report a bound state of the one-dimensional two-particle (bosonic or fermionic) Hubbard model with an impurity potential. This state has the Bethe-ansatz form, although the model is nonintegrable. Moreover, for a wide region in parameter space, its energy is located in the continuum band. A remarkable advantage of this state with respect to similar states in other systems is the simple analytical form of the wave function and eigenvalue. This state can be tuned in and out of the continuum continuously.
Keywords
Cite
@article{arxiv.1205.6431,
title = {Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity},
author = {J. M. Zhang and Daniel Braak and Marcus Kollar},
journal= {arXiv preprint arXiv:1205.6431},
year = {2017}
}
Comments
A semi-exactly solvable model (half of the eigenstates are in the Bethe form)