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Accepted · first revision · record

Title: Measured Lyapunov exponent versus temperature in a quantum simulator
Plain: OTOC experiments so far probe effectively infinite-temperature states, where quantum limits on chaos do not show. Measuring the scrambling rate in a cold many-body state would test the chaos bound directly.
Precise: In a quantum simulator realizing a nonintegrable lattice model (e.g. 2D Bose-Hubbard at $U/J \sim 10$ or a Rydberg array), measure the regularized thermal OTOC growth rate $\lambda_{L}(T)$ for $k_{B}T$ below the bandwidth using a time-reversal protocol. Answer: $\lambda_{L}(T)$ with error bars over a factor of 5 in T, compared with $2\pi k_{B}T/\hbar$.
Settled by: An experiment preparing thermal states at several temperatures and extracting an exponential OTOC growth window at each.
Kind: well-posed
Answer type: value
References: (empty)
Literature status: open
Status note: OTOC experiments to date (trapped ions, superconducting processors) probe effectively infinite-temperature or circuit states.
Posed since: (empty)