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This research advances the ER=EPR conjecture by demonstrating that multi-partite entanglement can continue to grow linearly even after individual subsystem entropies have saturated in black hole models. By utilizing genuine multi-entropy, the study reveals a previously invisible structure within the Einstein-Rosen bridge that persists across holographic duals and random quantum states. These findings refine our theoretical understanding of how entanglement dynamics map to spacetime geometry beyond standard bipartite measures.
Growing Einstein-Rosen Bridge with Multi-partite Entanglement
arXiv:2609.18225v1 Announce Type: cross Abstract: Can quantum entanglement continue to grow even after the entanglement entropies of subsystems have saturated? We address this question using genuine multi-entropy, which probes multi-partite entanglement structure beyond bipartite entanglement. In a two-sided BTZ black hole, this quantity grows linearly with time after every subsystem entropy of a fixed tripartition has saturated, extending the interval in which entanglement detects Einstein-Rosen bridge growth. The result refines the ER=EPR relation by identifying multi-partite structure invisible to ordinary entanglement entropies. Some spin-chain models and the spatially partitioned Sachdev-Ye-Kitaev (SYK) model exhibit distinct transients, while the late-time plateau values in holography, the SYK model, and Haar-random states share a universal behaviour.
Abstract:Can quantum entanglement continue to grow even after the entanglement entropies of subsystems have saturated? We address this question using genuine multi-entropy, which probes multi-partite entanglement structure beyond bipartite entanglement. In a two-sided BTZ black hole, this quantity grows linearly with time after every subsystem entropy of a fixed tripartition has saturated, extending the interval in which entanglement detects Einstein-Rosen bridge growth. The result refines the ER=EPR relation by identifying multi-partite structure invisible to ordinary entanglement entropies. Some spin-chain models and the spatially partitioned Sachdev-Ye-Kitaev (SYK) model exhibit distinct transients, while the late-time plateau values in holography, the SYK model, and Haar-random states share a universal behaviour.
High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph)
arXiv:2609.18225 [hep-th]
(or arXiv:2609.18225v1 [hep-th] for this version)
https://doi.org/10.48550/arXiv.2609.18225 arXiv-issued DOI via DataCite (pending registration)
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