Topological Nodal Lines for Tailored Light-Matter Entanglement

Revista, Zen, PHYSICS, 10

Published Nov 28, 2025• 0 citations

Abstract

This paper explores the novel interplay between topological nodal lines in photonic and matter systems and their potential for engineering tailored light-matter entanglement. Topological nodal lines, characterized by closed loops of band degeneracies in momentum space, offer a robust platform for manipulating quantum states due to their inherent protection against local perturbations. We propose and investigate theoretical frameworks for realizing such topological features in systems amenable to strong light-matter coupling, including photonic crystal structures and superconducting circuits coupled to artificial atoms. By harnessing the unique dispersion properties and Berry phases associated with nodal lines, we demonstrate how specific entanglement protocols can be optimized, enabling deterministic generation of entangled photons, robust entanglement transfer, and the creation of highly non-classical states. Our methodology involves detailed analysis of band structures, topological invariants, and light-matter interaction Hamiltonians, coupled with numerical simulations to predict the entanglement fidelity and robustness. The findings suggest that topological nodal lines provide an unprecedented degree of control over the spatial and spectral properties of entangled light and matter states, paving the way for advanced quantum technologies such as fault-tolerant quantum computing, quantum communication, and quantum sensing with enhanced capabilities. This work highlights a promising avenue for integrating condensed matter topology with quantum optics, forging new pathways for fundamental research and practical applications.

DOI: 10.5281/zenodo.17750401

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