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A bound on chaos

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Maldacena, Juan, Shenker, Stephen H., Stanford, Douglas·2016·Journal of High Energy Physics
DOI 10.1007/jhep08(2016)106
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Abstract

We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. We conjecture that the influence of chaos on this correlator can develop no faster than exponentially, with Lyapunov exponent λ L ≤ 2πk B T/ℏ. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.

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Show all 6 references

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Metadata

Authors
Maldacena, J., Shenker, S. H., & Stanford, D.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2016-08
Volume
2016
Issue
8
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep08(2016)106
OpenAlex
W2118301480
Cited by
2,313
References
6
FWCI
132.56
Type
journal article
Language
en
Open access
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CoChat. (2026). Citation check: A bound on chaos. https://app.cochat.ai/papers/10.1007/jhep08(2016)106
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Maldacena, J., Shenker, S. H., & Stanford, D. (2016). A bound on chaos. Journal of High Energy Physics. https://doi.org/10.1007/jhep08(2016)106

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