期刊
PHYSICAL REVIEW LETTERS
卷 120, 期 20, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.201604
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资金
- Netherlands Organisation for Scientific Research (NWO)
- Delta-Institute for Theoretical Physics (Delta-ITP)
- STFC [ST/P004334/1] Funding Source: UKRI
Holographic theories with classical gravity duals are maximally chaotic; i.e., they saturate the universal bound on the rate of growth of chaos [J. Maldacena, S. H. Shenker, and D. Stanford, J. High Energy Phys. 08 (2016) 106]. It is interesting to ask whether this property is true only for leading large N correlators or if it can show up elsewhere. In this Letter, we consider the simplest setup to tackle this question: a Brownian particle coupled to a thermal ensemble. We find that the four-point out-of-time-order correlator that diagnoses chaos initially grows at an exponential rate that saturates the chaos bound, i.e., with a Lyapunov exponent lambda(L) = 2 pi/beta. However, the scrambling time is parametrically smaller than for plasma excitations, t(*) similar to beta log root lambda instead of t(*) similar to beta log N-2. Our result shows that, at least in certain cases, maximal chaos can be attained in the probe sector without the explicit need of gravitational degrees of freedom.
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