Fast scrambling without appealing to holographic duality

• URL: http://arxiv.org/abs/2004.11269v2
• Date: Sat, 2 Jan 2021 12:19:25 GMT
• Title: Fast scrambling without appealing to holographic duality
• Authors: Zehan Li, Sayan Choudhury, W. Vincent Liu
• Abstract summary: We study the dynamics of a non-integrable spin chain model composed of two ingredients. Unlike other fast scrambling many-body systems, this model is not known to be dual to a black hole.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Motivated by the question of whether all fast scramblers are holographically dual to quantum gravity, we study the dynamics of a non-integrable spin chain model composed of two ingredients - a nearest neighbor Ising coupling, and an infinite range $XX$ interaction. Unlike other fast scrambling many-body systems, this model is not known to be dual to a black hole. We quantify the spreading of quantum information using an out-of time-ordered correlator (OTOC), and demonstrate that our model exhibits fast scrambling for a wide parameter regime. Simulation of its quench dynamics finds that the rapid decline of the OTOC is accompanied by a fast growth of the entanglement entropy, as well as a swift change in the magnetization. Finally, potential realizations of our model are proposed in current experimental setups. Our work establishes a promising route to create fast scramblers.

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