Recent developments in the holographic description of quantum chaos
arXiv:1811.06949
Abstract
We review recent developments encompassing the description of quantum chaos in holography. We discuss the characterization of quantum chaos based on the late time vanishing of out-of-time-order correlators and explain how this is realized in the dual gravitational description. We also review the connections of chaos with the spreading of quantum entanglement and diffusion phenomena.
v1: 34 pages, 14 figures. Invited topical review for Advances in High Energy Physics, Issue: Quantum Information and Holography. v2: 39 pages, title changed (the previous title was "Chaos and Black Holes"), abstract expanded. Typos corrected and references updated. v3: 41 pages, typos corrected and references updated. Sections 4.2.2, 4.3 and 4.4 were rewritten. Figure 14 was replaced
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