Year: 2018
Type: article
Abstract: We study a relation between the thermal diffusivity (D T ) and two quantum chaotic properties, Lyapunov time (τ L ) and butterfly velocity (v B ) in strongly correlated systems by using a holographic method. Recently, it was shown that $$ {\mathbb{E}}_i:={D}_{T,i}/\left({v}_{{}^{B,i}}^2{\tau}_L\right)\left(i=x,y\right) $$ is universal in the sense that it is determined only by some scaling exponents of the IR metric in the low temperature limit regardless of the matter fields and ultraviolet data. Inspired by this observation, by analyzing the anisotropic IR scaling geometry carefully, we find the concrete expressions for $$ {\mathbb{E}}_i $$ in terms of the critical dynamical exponents z i in each direction, $$ {\mathbb{E}}_i={z}_i/2\left({z}_i-1\right) $$ . Furthermore, we find the lower bound of $$ {\mathbb{E}}_i $$ is always 1/2, which is not affected by anisotropy, contrary to the η/s case. However, there may be an upper bound determined by given fixed anisotropy.
Source: Journal of High Energy Physics
Authors: Hyun-Sik Jeong, Yongjun Ahn, Dujin Ahn, Chao Niu, Wei-Jia Li, Keun-Young Kim
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1039608440, G2320880518
OpenAlex ID: W2963335179