Dynamical Localization in Disordered Quantum Spin Systems
Mathematical Physics
2012-09-28 v2 math.MP
Spectral Theory
Abstract
We say that a quantum spin system is dynamically localized if the time-evolution of local observables satisfies a zero-velocity Lieb-Robinson bound. In terms of this definition we have the following main results: First, for general systems with short range interactions, dynamical localization implies exponential decay of ground state correlations, up to an explicit correction. Second, the dynamical localization of random xy spin chains can be reduced to dynamical localization of an effective one-particle Hamiltonian. In particular, the isotropic xy chain in random exterior magnetic field is dynamically localized.
Cite
@article{arxiv.1108.3811,
title = {Dynamical Localization in Disordered Quantum Spin Systems},
author = {Eman Hamza and Robert Sims and Günter Stolz},
journal= {arXiv preprint arXiv:1108.3811},
year = {2012}
}
Comments
final version with minor revisions, accepted for Comm. Math. Phys