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Quantum Simulation

Quantum Scrambling and State Dependence of the Butterfly Velocity

arXiv

Authors: Xizhi Han, Sean A. Hartnoll

Year

2018

Paper ID

22618

Status

Preprint

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~2 min

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Abstract

Operator growth in spatially local quantum many-body systems defines a scrambling velocity. We prove that this scrambling velocity bounds the state dependence of the out-of-time-ordered correlator in local lattice models. We verify this bound in simulations of the thermal mixed-field Ising spin chain. For scrambling operators, the butterfly velocity shows a crossover from a microscopic high temperature value to a distinct value at temperatures below the energy gap.

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Operator growth in spatially local quantum many-body systems defines a scrambling velocity.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1812.07598 [2] arXiv https://arxiv.org/abs/1812.07598 [3] Publisher https://arxiv.org/abs/1812.07598

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