Two-body physics in the Su-Schrieffer-Heeger model
Abstract
We consider two interacting bosons in a dimerized Su-Schrieffer-Heeger (SSH) lattice. We identify a rich variety of two-body states. In particular, for open boundary conditions and moderate interactions, edge bound states (EBS) are present even for the dimerization that does not sustain single-particle edge states. Moreover, for large values of the interactions, we find a breaking of the standard bulk-boundary correspondence. Based on the mapping of two interacting particles in one dimension onto a single particle in two dimensions, we propose an experimentally realistic coupled optical fibers setup as quantum simulator of the two-body SSH model. This setup is able to highlight the localization properties of the states as well as the presence of a resonant scattering mechanism provided by a bound state that crosses the scattering continuum, revealing the closed-channel population in real time and real space.
Cite
@article{arxiv.1608.07341,
title = {Two-body physics in the Su-Schrieffer-Heeger model},
author = {M. Di Liberto and A. Recati and I. Carusotto and C. Menotti},
journal= {arXiv preprint arXiv:1608.07341},
year = {2017}
}
Comments
14 pages; 14 figures