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Quantum chaos in the SYK model

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What is quantum chaos and how is it related to black holes? Chaotic systems distribute any inserted information over themselves; the speed of this distribution of information reveals the degree of chaos. In this talk, I will briefly introduce a notion of quantum chaos before turning to a model that is the archetypical example for a maximally chaotic system: the Sachdev-Ye-Kitaev (SYK) model. The behavior of the SYK model is fundamentally linked to black holes, where information seems to disappear beyond their event horizon. As I will show, the SYK model is supersymmetric in its “vanilla” form without any fine-tuning of its parameters. This implies that certain properties of the supersymmetry determine how information spreads — in other words, how chaos spreads — through the system; the supersymmetry thus brings structure into chaos.

This talk is part of the Darwin College Sciences Group series.

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