Slow scrambling in disordered quantum systems
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PhysRevB.95.060201.pdf
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151.32 KB
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Author(s)
Swingle, Brian
Chowdhury, Debanjan
Date Issued
February 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Swingle, Brian, and Debanjan Chowdhury. “Slow Scrambling in Disordered Quantum Systems.” Physical Review B 95.6 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
In this work we study the effect of static disorder on the growth of commutators—a probe of information scrambling in quantum many-body systems—in a variety of contexts. We find generically that disorder slows the onset of scrambling and, in the case of a many-body localized (MBL) state, partially halts it. In the MBL state, we show using a fixed point Hamiltonian that operators exhibit slow logarithmic growth under time evolution and compare the result with the expected growth of commutators in (de)localized noninteracting disordered models. Finally, using a scaling argument, we state a conjecture on the growth of commutators in a weakly interacting diffusive metal.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.95.060201
