Temperature dependence of butterfly effect in a classical many-body System
Date
2018-08-06Author
Bilitewski, Thomas
Bhattacharjee, Subhro
Moessner, Roderich
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We study the chaotic dynamics in a classical many-body system of interacting spins on the kagome lattice. We characterise many-body chaos via the butter y effect as captured by an appropriate out-of-time-ordered correlator. Due to the emergence of a spin liquid phase, the chaotic dynamics extends all the way to zero temperature. We thus determine the full temperature dependence of two complementary aspects of the butter y effect: the Lyapunov exponent and the butterfly speed, and study their interrelations with usual measures of spin dynamics such as the spin-diffusion constant and spin-autocorrelation time.
Citation
Bilitewski, T., Bhattacharjee, S., Moessner, R. (2018). Temperature dependence of butterfly effect in a classical many-body
system.