Dynamical Localization in Disordered Quantum Spin Systems

Details Dynamical Localization in Disordered Quantum Spin Systems Dynamical Localization in Disordered Quantum Spin Systems

2011-08-18

arxiv.org/abs/1108.3811v2

Physics

Mathematical Physics

final version with minor revisions, accepted for Comm. Math. Phys

Scientific paper

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.

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