Topologically Protected Magnetic Solitons with Relativistic and Quantum Dynamics in Chiral Systems

Magnetic solitons in chiral media provide a versatile platform for exploring nonlinear, relativistic, and topologically protected excitations under external field control. In this work, we develop a unified theoretical framework to investigate soliton confinement, stability, and propagation dynamics in magnetized chiral systems by coupling the nonlinear Schrödinger equation with the Landau– Lifshitz–Gilbert formalism. We demonstrate that external magnetic fields induce strong soliton confinement, leading to substantial width compression and enhanced nonlinear self-interaction. Velocity-adapted solutions reveal relativistic signatures, including Lorentz-type contraction and stability up to a critical fraction of the characteristic propagation speed. Chiral spin textures stabilized by Dzyaloshinskii–Moriya interactions exhibit quantized orbital angular momentum and topologi-cal charge protection, which persists against thermal fluctuations within experimentally accessible temperature ranges. We further analyze quantum–thermal crossover effects, showing that magnetic confinement suppresses tunneling and enhances noise resilience. The results establish magnetically controlled chiral solitons as robust nonlinear excitations with potential relevance for spintronic devices , topological memory architectures, and quantum-inspired information processing platforms.