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Speeding up the spread of quantum information in chaotic systems

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arxiv 2108.12688 v2 pith:R6HJFTWD submitted 2021-08-28 hep-th cond-mat.stat-mechgr-qcquant-ph

Speeding up the spread of quantum information in chaotic systems

Stefan Eccles , Willy Fischler , Tyler Guglielmo , Juan F. Pedraza , Sarah Racz This is my paper
classification hep-th cond-mat.stat-mechgr-qcquant-ph
keywords informationnonlocalitychaoticmodelsquantumrateratesspreading
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We explore the effect of introducing mild nonlocality into otherwise local, chaotic quantum systems, on the rate of information spreading and associated rates of entanglement generation and operator growth. We consider various forms of nonlocality, both in 1-dimensional spin chain models and in holographic gauge theories, comparing the phenomenology of each. Generically, increasing the level of nonlocality increases the rate of information spreading, but in lattice models we find instances where these rates are slightly suppressed.

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    Numerical study of a qutrit lattice with conserved charge shows thermalization signatures in states outside microcanonical windows of energy and charge, supporting a generalized form of ETH called generic ETH.