Journal
SCIENCE BULLETIN
Volume 62, Issue 10, Pages 707-711Publisher
ELSEVIER
DOI: 10.1016/j.scib.2017.04.011
Keywords
Out-of-time-order correlation; Many-body localization; Renyi entropy
Categories
Funding
- National Key Research and Development Plan [2016YFA0301600]
- National Natural Science Foundation of China [11325418]
- Tsinghua University Initiative Scientific Research Program
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In this paper we first compute the out-of-time-order correlators (OTOC) for both a phenomenological model and a random-field XXZ model in the many-body localized phase. We show that the OTOC decreases in power law in a many-body localized system at the scrambling time. We also find that the OTOC can also be used to distinguish a many-body localized phase from an Anderson localized phase, while a normal correlator cannot. Furthermore, we prove an exact theorem that relates the growth of the second Renyi entropy in the quench dynamics to the decay of the OTOC in equilibrium. This theorem works for a generic quantum system. We discuss various implications of this theorem. (C) 2017 Science China Press. Published by Elsevier B.V. and Science China Press.
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