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Operator spreading in random unitary circuits

Abstract:

Random quantum circuits yield minimally structured models for chaotic quantum dynamics, which are able to capture, for example, universal properties of entanglement growth. We provide exact results and coarse-grained models for the spreading of operators by quantum circuits made of Haar-random unitaries. We study both 1+1D and higher dimensions and argue that the coarse-grained pictures carry over to operator spreading in generic many-body systems. In 1+1D, we demonstrate that the out-of-time...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1103/PhysRevX.8.021014

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review X Journal website
Volume:
8
Issue:
2
Pages:
Article: 021014
Publication date:
2018-04-11
Acceptance date:
2018-02-16
DOI:
ISSN:
2160-3308
Pubs id:
pubs:702147
URN:
uri:6501d30c-854c-4958-86fc-0a2ef1892e23
UUID:
uuid:6501d30c-854c-4958-86fc-0a2ef1892e23
Local pid:
pubs:702147

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