Spread of entanglement in a Sachdev-Ye-Kitaev chain

Abstract

We study the spread of Rényi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK chain model is a model of chaotic many-body systems, which describes a one-dimensional lattice of Majorana fermions, with spatially local random quartic interaction. We find that for integer Rényi index $n>1$, the Rényi entanglement entropy saturates at a parametrically smaller value than expected. This implies that the TFD state of the SYK chain does not rapidly thermalize, despite being maximally chaotic: instead, it rapidly approaches a prethermal state. We compare our results to the signatures of thermalization observed in other quenches in the SYK model, and to intuition from nearly-${\mathrm{AdS}}_2$ gravity.

1+46 pages, 11 figures

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• Upper bound of the charge diffusion constant in holography
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• On pole-skipping with gauge-invariant variables in holographic axion theories
• Entanglement dynamics of thermofield double states in integrable models
• Thermalization of Randomly Coupled SYK Models
• Black holes Entangled by Radiation
• Entanglement inside a black hole before the Page time
• Field theory for monitored Brownian SYK clusters
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• SYK does not Transit Gloria Mundi just yet
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• SYK model based $\beta$ regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
• Towards Entanglement Entropy of Random Large-N Theories
• Entanglement dynamics from universal low-lying modes
• Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
• Chaos-protected locality
• Quantum entropy thermalization
• Correlation Functions and Chaotic Behavior of the SYK Chain Model in Pure States
• Hybrid Brownian SYK-Hubbard Model: from Spectral Function to Quantum Chaos
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models