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Local conservation laws and the structure of the many-body localized states
Maksym Serbyn1, Z Papić, Dmitry A Abanin
1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02138, USA.
Abstract:
We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported by numerical simulations of the random-field XXZ spin chain. We describe the structure of the eigenstates in the MBL phase and discuss the implications of local conservation laws for its nonequilibrium quantum dynamics. We argue that the many-body localization can be used to protect coherence in the system by suppressing relaxation between eigenstates with different local integrals of motion.
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