Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model

• URL: http://arxiv.org/abs/2409.07043v1
• Date: Wed, 11 Sep 2024 06:22:41 GMT
• Title: Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model
• Authors: Yichen Huang, Yi Tan, Norman Y. Yao,
• Abstract summary: We prove that for subsystems whose size is a constant fraction of the system size, the entanglement entropy deviates from the maximum entropy by at least a positive constant. This result highlights the difference between the entanglement entropy of mid-spectrum eigenstates of the SYK model and that of random states.
• Score: 7.583316450848749
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider mid-spectrum eigenstates of the Sachdev-Ye-Kiteav (SYK) model. We prove that for subsystems whose size is a constant fraction of the system size, the entanglement entropy deviates from the maximum entropy by at least a positive constant. This result highlights the difference between the entanglement entropy of mid-spectrum eigenstates of the SYK model and that of random states.

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