Time : 2022/03/10 (Thu.) 12:30
Title: An energy bound on chaos

Abstract:
We conjecture an upper bound on the energy dependence of the Lyapunov exponent for any
classical/quantum Hamiltonian mechanics and quantum field theories. The conjecture states that the
Lyapunov exponent as a function of the total energy grows no faster than linearly in the energy, in the high
energy limit, under plausible physical conditions on the Hamiltonian. To the best of our knowledge this
chaos energy bound is satisfied by any classically chaotic Hamiltonian system. We provide arguments
supporting the conjecture for generic classically chaotic billiards and multi-particle systems. The talk is
based on [1].

[1] "A bound on energy dependence of chaos" https://arxiv.org/abs/2112.11163
     Koji Hashimoto, Keiju Murata, Norihiro Tanahashi, Ryota Watanabe