2025/05/18 by Chon‐Fai Kam, Kam, Chon-Fai
Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2505.12347
openalex publication_date 2025/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we propose an experimentally feasible nonlinear optical realization of a type of non-integrable phase found in interacting quantum systems at quantum phase transitions. We show that an exotic term in the dynamical equation governs the nonlinear polarization of the optical field along an anisotropic low-birefringence fiber with tetragonal symmetry. Intriguingly, by adiabatically tuning nonlinear susceptibilities along the fibers, the Stokes vector on the Poincaré sphere accumulates a non-integrable phase called the Hannay angle, which shares the same geometric gauge structure as that associated with quantum phase transitions. Experimental realization via adiabatically depositing nano-crystals along the fibers is discussed.