TY - JOUR

T1 - Dynamical Localization in Disordered Quantum Spin Systems

AU - Hamza, Eman

AU - Sims, Robert

AU - Stolz, Günter

N1 - Funding Information:
G. S. was supported in part by NSF grants DMS-0653374 and DMS-1069320.
Funding Information:
R. S. was supported in part by NSF grants DMS-0757424 and DMS-1101345.

PY - 2012/9

Y1 - 2012/9

N2 - 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.

AB - 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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U2 - 10.1007/s00220-012-1544-6

DO - 10.1007/s00220-012-1544-6

M3 - Article

AN - SCOPUS:84866161680

VL - 315

SP - 215

EP - 239

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -