Author(s): Yang, Y (Yang, Ying); Cao, DW (Cao, Dawei)

Source: OPTICS EXPRESS Volume: 30 Issue: 21 Pages: 37899-37909 Article Number: 471703 DOI: 10.1364/OE.471703 Published: OCT 10 2022

Abstract: We propose a simple method, using the first singular value (FSV) of the spatial correlation of biphotons, to characterize topological phase transitions (TPTs) in one-dimensional (1D) topological photonic waveguide arrays (PWAs). After analyzing the spatial correlation of biphotons using the singular value decomposition, we found that the FSV of the spatial correlation of biphotons in real space can characterize TPTs and distinguish between the topological trivial and nontrivial phases in PWAs based on the Su-Schrieffer-Heeger model. The analytical simulation results were demonstrated by applying the coupled-mode theory to biphotons and were found to be in good agreement with those of the numerical simulation. Moreover, the numerical simulation of the FSV (of the spatial correlation of biphotons) successfully characterized the TPT in a PWA based on the Aubry-Andre-Har per and Rice-Mele models, demonstrating the universality of this method for 1D topological PWAs. Our method provides biphotons with the possibility of acquiring information regarding TPTs directly from the spatial correlation in real space, and their potential applications in quantum topological photonics and topological quantum computing as quantum simulators and information carriers.

Accession Number: WOS:000894969200001

PubMed ID: 36258369

ISSN: 1094-4087

Full Text: https://opg.optica.org/oe/fulltext.cfm?uri=oe-30-21-37899&id=507544