Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization
Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization
We review several aspects of Many-Body Localization-like properties exhibited by the disordered XY chains: localization properties of the energy eigenstates and thermal states, propagation bounds of Lieb-Robinson type, decay of correlation functions, absence of particle transport, bounds on the bipartite entanglement, and bounded entanglement growth under the dynamics. We also …