Journal of High Energy Physics· 2016Q2
A bound on chaos
- 2,375citations
- Q2SCImago
- 2016year
Short summary
A new conjecture proposes a universal upper bound for the rate of chaos growth in thermal quantum systems with many degrees of freedom, stating the Lyapunov exponent is limited to λ L ≤ 2πk B T/ℏ.
AI-generated from the title and abstract; the full text is not read.
Key points
- Conjectures a sharp upper bound on chaos growth in thermal quantum systems.
- Chaos is diagnosed using an out-of-time-order correlation function.
- Proposed bound for the Lyapunov exponent: λ L ≤ 2πk B T/ℏ.
- Argument based on plausible physical assumptions.
AI-generated from the title and abstract; the full text is not read.
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 λ L ≤ 2πk B T/ℏ. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.
The authors' abstract, as published at the source. Journal of High Energy Physics, 2016 · DOI ↗
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Field: Statistical and Nonlinear Physics
Statistical and Nonlinear PhysicsPhysics and Astronomy