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

Year: 2016

Authors: Di Liberto M., Recati A., Carusotto I., Menotti C.

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

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.


Volume: 94      Pages from: 062704-1  to: 062704-13

KeyWords: Bloch oscillation; optical lattice; energy- bands; quantum; states; phase; SSH model; Repulsive Bound Pairs;
DOI: 10.1103/PhysRevA.94.062704

Citations: 69
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