Related papers: Nonlinear optical realization of non-integrable phases accompanying quantum phase transitions

Nonlinear optical realization of non-integrable phases accompanying quantum phase transitions

URL: http://arxiv.org/abs/2505.12347v1
Date: Sun, 18 May 2025 10:23:04 GMT
Title: Nonlinear optical realization of non-integrable phases accompanying quantum phase transitions
Authors: Chon-Fai Kam,
Abstract summary: 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.<n>By adiabatically tuning nonlinear susceptibilities along the fibers, the Stokes vector on the Poincar'e sphere accumulates a non-integrable phase called the Hannay angle.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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 Poincar\'e 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.

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