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Holographic Butterfly Effect at Quantum Critical Points · Around

2016

Holographic Butterfly Effect at Quantum Critical Points

Ling, Yi, Liu, Peng, Wu, Jian-Pin

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When the Lyapunov exponent $\lambda_L$ in a quantum chaotic system saturates the bound $\lambda_L\leqslant 2\pi k_BT$, it is proposed that this system has a holographic dual described by a gravity theory.

In particular, the butterfly effect as a prominent phenomenon of chaos can ubiquitously exist in a black hole system characterized by a shockwave solution near the horizon.
In this paper we propose that the butterfly velocity can be used to diagnose quantum phase transition (QPT) in holographic theories.
We provide evidences for this proposal with an anisotropic holographic model exhibiting metal-insulator transitions (MIT), in which the derivatives of the butterfly velocity with respect to system parameters characterizes quantum critical points (QCP) with local extremes in zero temperature limit.

Built on

T. Dray and G. ’t Hooft, Nucl. Phys. B 253
1985
Earlier work this paper cites.
J. M. Deutsch, Phys. Rev. A 43
1991
Earlier work this paper cites.
Y. Kiem, H. L. Verlinde and E. P. Verlinde, Phys. Rev. D 52
1995
Earlier work this paper cites.
J. M. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231, [arXiv:hep-th/9711200]
1998
Earlier work this paper cites.
E. Witten, Adv. Theor. Math. Phys. (1998) 253, [arXiv:hep-th/9802150]
1998
Earlier work this paper cites.
A. Donos and S. A. Hartnoll, Nature Phys. 9
Original
2013
Earlier work this paper cites.
S. H. Shenker and D. Stanford, JHEP 1403
Original
2014
Earlier work this paper cites.
S. H. Shenker and D. Stanford, JHEP 1412
Original
2014
Earlier work this paper cites.

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