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2017

Holographic Butterfly Effect and Diffusion in Quantum Critical Region

Ling, Yi, Xian, Zhuo-Yu

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We investigate the butterfly effect and charge diffusion near the quantum phase transition in holographic approach.

We argue that their criticality is controlled by the holographic scaling geometry with deformations induced by a relevant operator at finite temperature.
Specifically, in the quantum critical region controlled by a single fixed point, the butterfly velocity decreases when deviating from the critical point.
While, in the non-critical region, the behavior of the butterfly velocity depends on the specific phase at low temperature.

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