期刊
ANNALEN DER PHYSIK
卷 529, 期 7, 页码 -出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/andp.201600318
关键词
Anderson localization; Lieb-Robinson bound; many-body localization; out-of-time-ordered correlator
资金
- Institute for Quantum Information and Matter, an NSF Physics Frontiers Center [PHY-1125565]
- Gordon and Betty Moore Foundation [GBMF-2644]
- Walter Burke Institute for Theoretical Physics
- Direct For Mathematical & Physical Scien
- Division Of Physics [1125565] Funding Source: National Science Foundation
In many-body localized systems, propagation of information forms a light cone that grows logarithmically with time. However, local changes in energy or other conserved quantities typically spread only within a finite distance. Is it possible to detect the logarithmic light cone generated by a local perturbation from the response of a local operator at a later time? We numerically calculate various correlators in the random-field Heisenberg chain. While the equilibrium retarded correlator A(t=0)B(t>0) is not sensitive to the unbounded information propagation, the out-of-time-ordered correlator A(t=0)B(t>0)A(t=0)B(t>0) can detect the logarithmic light cone. We relate out-of-time-ordered correlators to the Lieb-Robinson bound in many-body localized systems, and show how to detect the logarithmic light cone with retarded correlators in specially designed states. Furthermore, we study the temperature dependence of the logarithmic light cone using out-of-time-ordered correlators.
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