Two-body physics in the Su-Schrieffer-Heeger model

M. Di Liberto, A. Recati, I. Carusotto, and C. Menotti
Phys. Rev. A 94, 062704 – Published 22 December 2016

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.

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  • Received 29 August 2016

DOI:https://doi.org/10.1103/PhysRevA.94.062704

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Di Liberto1, A. Recati1,2, I. Carusotto1, and C. Menotti1

  • 1INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, 38123 Povo, Italy
  • 2Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 München, Germany

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Issue

Vol. 94, Iss. 6 — December 2016

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