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08 February 2025
 
  » arxiv » 2301.01353

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More on chaos at weak coupling
Rohit R. Kalloor ; Adar Sharon ;
Date 3 Jan 2023
AbstractWe discuss aspects of the quantum Lyapunov exponent $lambda_L$ in theories with an exactly marginal SYK-like random interaction, where $lambda_L$ can be computed as a continuous function of the interaction strength $mathcal{J}$. In $1d$, we prove a conjecture from arXiv:2111.06108 which states that at small $mathcal{J}$, $lambda_L$ can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the $2d$ version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling.
Source arXiv, 2301.01353
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