Unveiling operator growth in SYK quench dynamics

• URL: http://arxiv.org/abs/2007.03551v2
• Date: Fri, 24 Jul 2020 14:02:48 GMT
• Title: Unveiling operator growth in SYK quench dynamics
• Authors: Matteo Carrega, Joonho Kim, Dario Rosa
• Abstract summary: We study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By tracking the time-evolution of specific spin-spin correlation functions and their decay, we argue that it is possible to distinguish between operator hopping and operator growth dynamics.
• Score: 4.176752121302988
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK) based quench protocol, we show that the time evolution of simple spin-spin correlation functions is highly sensitive to the degree of locality of the corresponding operators, once an appropriate set of fundamental fields is identified. By tracking the time-evolution of specific spin-spin correlation functions and their decay, we argue that it is possible to distinguish between operator hopping and operator growth dynamics; the latter being a hallmark of quantum chaos in many-body quantum systems. Such observation, in turn, could constitute a promising tool to probe the emergence of chaotic behavior, rather accessible in state-of-the-art quench setups.

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