Monday, May 27, 2013

1305.5554 (Maksym Serbyn et al.)

Local conservation laws and the structure of the many-body localized
states
   [PDF]

Maksym Serbyn, Z. Papić, Dmitry A. Abanin
We construct a complete set of local integrals of motion that characterize the many-body localized phase. Our approach relies on the assumption that local perturbations only act locally on the eigenstates in the interacting localized phase, which we support with numerical simulations of a random-field XXZ spin chain. Our study provides a description of the structure of the many-body localized states, and shows that the many-body localized phase is "integrable" in a local sense. We discuss the implications of the local conservation laws for quantum dynamics in the interacting localized phase, arguing that the many-body localization can be used to protect coherence in the system by preventing relaxation between eigenstates with different local integrals of motion.
View original: http://arxiv.org/abs/1305.5554

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