Two-body bound and edge states in the extended SSH Bose-Hubbard model
Authors: Di Liberto M., Recati A., Carusotto I., Menotti C.
Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Ludwig Maximilians Univ Munchen, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany
Abstract: We study the bosonic two-body problem in a Su-Schrieffer-Heeger dimerized chain with on-site and nearest-neighbor interactions. We find two classes of bound states. The first, similar to the one induced by on-site interactions, has its center of mass on the strong link, whereas the second, existing only thanks to nearest-neighbor interactions, is centered on the weak link. We identify energy crossings between these states and analyse them using exact diagonalization and perturbation theory. In the presence of open boundary conditions, novel strongly-localized edge-bound states appear in the spectrum as a consequence of the interplay between lattice geometry, on-site and nearest-neighbor interactions. Contrary to the case of purely on-site interactions, such EBS persist even in the strongly interacting regime.
Journal/Review: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume: 226 (12) Pages from: 2751 to: 2762
KeyWords: BLOCH OSCILLATIONS; LATTICEDOI: 10.1140/epjst/e2016-60388-yCitations: 13data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-24References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here