Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions

Abstract

We theoretically propose a scheme to synthesize photonic non-Abelian electric field and spin-orbit coupling (SOC) in the synthetic frequency dimension based on a polarization-multiplexed time-modulated ring resonator. Inside the ring resonator, the cascade of polarization-dependent phase modulation, polarization rotation, and phase retardation enables a photonic realization of minimal SOC composed of equal Rashba and Dresselhaus terms. The synthetic bands and associated spin textures can be effectively probed by the continuous-wave polarization- and time-resolved band structure measurements. Meanwhile, the pulse dynamics in the frequency dimension can be manipulated by both synthetic Abelian and non-Abelian electric fields, leading to Bloch oscillation, Zitterbewegung, and their interplay dynamics. Our proposed setup can be realized with free-space optics, fibers, and integrated photonics, and provides pseudospin control knobs for large-scale synthetic lattices based on frequency combs.

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Cited by in corpus (3)

• A comprehensive review on developments of synthetic dimensions
• Anomalous Topological Bloch Oscillations under Non-Abelian Gauge Fields
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields