Wave-Function Tomography of Topological Dimer Chains with Long-Range Couplings

Year: 2024

Authors: Pellerin F., Houvenaghel R., Coish WA., Carusotto I., St-Jean P.

Autors Affiliation: Univ Montreal, Dept Phys, CP 6128,Succursale Ctr Ville, Montreal, PQ H3C 3J7, Canada; Ecole Normale Super Lyon, Dept Phys, 46 Allee Italie, F-69007 Lyon, France; McGill Univ, Dept Phys, 3600 Rue Univ, Montreal, PQ H3A 2T8, Canada; Univ Trento, Pitaevskii BEC Ctr, INO CNR, Via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommar 14, I-38123 Trento, Italy; Univ Montreal, Inst Courtois, Montreal, PQ H2V 0B3, Canada.

Abstract: The ability to tailor with a high accuracy the intersite connectivity in a lattice is a crucial tool for realizing novel topological phases of matter. Here, we report the experimental realization of photonic dimer chains with long-range hopping terms of arbitrary strength and phase, providing a rich generalization of the Su-Schrieffer-Heeger model which, in its conventional form, is limited to nearest-neighbor couplings only. Our experiment is based on a synthetic dimension scheme involving the frequency modes of an optical fiber loop platform. This setup provides direct access to both the band dispersion and the geometry of the Bloch wave functions throughout the entire Brillouin zone allowing us to extract the winding number for any possible configuration. Finally, we highlight a topological phase transition solely driven by a time-reversal-breaking synthetic gauge field associated with the phase of the long-range hopping, providing a route for engineering topological bands in photonic lattices belonging to the AIII symmetry class.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 132 (18)      Pages from: 183802-1  to: 183802-6

More Information: P. S. J. acknowledges financial support from Quebec’s Minstere de l’Economie, de l ’ Innovation et de l’Energie. P. S. J. and W. A. C. acknowledge financial support from the Fonds de Recherche – Nature et Technologies (FRQNT) and from the Natural Sciences and Engineering Research Council (NSERC) . F. P. acknowledges financial support from FRQNT and R. H. from MITACS. I. C. acknowledges financial support from the Provincia Autonoma di Trento, from the Q@TN Initiative, and from the PNRR MUR project PE0000023-NQSTI. I. C. acknowledges financial support from the Provincia Autonoma di Trento, from the Q@TN Initiative, and from the PNRR MUR project PE0000023- NQSTI financed by the European Union – Next Generation EU. I. C. acknowledges continuous collaboration with Tomoki Ozawa and Greta Villa on this topic.
KeyWords: Quantum; Matter
DOI: 10.1103/PhysRevLett.132.183802

Citations: 3
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