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Growing Einstein-Rosen Bridge with Multi-partite Entanglement

Curator's Take

AI Commentary

This article shows that genuine multipartite entanglement can keep growing even after all bipartite entropies have plateaued, providing a new diagnostic of the expanding Einstein‑Rosen bridge in holographic black holes. By introducing a “multi‑entropy” that continues to rise linearly with time, the authors extend the ER=EPR correspondence into a regime where ordinary entropy measures become blind, and they demonstrate that this behavior appears both in SYK‑type models and in random states. The result bridges quantum information theory and quantum gravity, suggesting that multipartite correlations may be the key resource underlying spacetime growth and could inform future studies of complexity and scrambling. It also cautions that relying solely on bipartite entropies can miss important structure, highlighting the need for richer entanglement diagnostics in both theoretical and experimental settings.

— Mark Eatherly

Summary

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.