This research proposes a framework to investigate quantum dynamics and entanglement in q-deformed spin chain models, emphasizing quantum group symmetries and their role in non-equilibrium phenomena. The methodology combines algebraic constructions, tensor network representations, exact diagonalization, and entanglement spectroscopy. The study introduces protocols for characterizing topological phases, quantifying entanglement evolution, and comparing q-deformed models with conventional SU(2)-symmetric spin chains.
Key findings
Introduces a comprehensive research framework for q-deformed spin chain models.
Develops novel protocols for characterizing quantum group-protected topological phases.
Quantifies entanglement evolution under quench dynamics in q-deformed systems.
Establishes benchmarks for comparing q-deformed models against conventional SU(2)-symmetric spin chains.
Limitations & open questions
Further experimental validation is required to confirm theoretical predictions.
The study primarily focuses on theoretical and numerical simulations, with limited experimental data.