Abstract
We study the quantum Lyapunov exponent in theories with spacetime-independent disorder. We first derive self-consistency equations for the two- and four-point functions for products of models coupled by disorder at large , generalizing the equations appearing in SYK-like models. We then study families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow from weak to strong coupling. We find interesting behaviors, including a discontinuous transition into chaos, mimicking classical KAM theory.
- Received 9 March 2022
- Accepted 7 July 2022
DOI:https://doi.org/10.1103/PhysRevLett.129.071601
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Published by the American Physical Society