A bound on chaos
Abstract
We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. We conjecture that the influence of chaos on this correlator can develop no faster than exponentially, with Lyapunov exponent \lambda_L \le 2 \pi k_B T/\hbar We give a precise...
Paper Details
Title
A bound on chaos
Published Date
Aug 1, 2016
Volume
2016
Issue
8
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