The Page curve from the entanglement membrane

IF 5 1区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Mike Blake, Anthony P. Thompson
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Abstract

A bstract We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the ‘entanglement membrane’. We show that in these models the Page curve associated to the entropy of Hawking radiation arises from a transition in the entanglement membrane around the Page time, in an analogous manner to the change in quantum extremal surfaces that leads to the Page curve in semi-classical gravity. We also use the entanglement membrane prescription to study the Hayden-Preskill protocol, and demonstrate how information initially encoded in the black hole is rapidly transferred to the radiation around the Page time. Our results relate recent developments in black hole information to generic features of entanglement dynamics in chaotic many-body quantum systems.
Page曲线来自缠结膜
我们研究了由混沌多体量子系统构建的黑洞信息玩具模型中的纠缠动力学,通过利用这种系统中被称为“纠缠膜”的纠缠动力学的粗粒度描述。我们表明,在这些模型中,与霍金辐射熵相关的Page曲线是由纠缠膜在Page时间周围的跃迁引起的,类似于导致半经典引力中Page曲线的量子极值表面变化。我们还使用纠缠膜处方来研究Hayden-Preskill协议,并演示了最初在黑洞中编码的信息如何在Page时间周围迅速转移到辐射中。我们的研究结果将黑洞信息的最新发展与混沌多体量子系统中纠缠动力学的一般特征联系起来。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-
CiteScore
10.00
自引率
46.30%
发文量
2107
审稿时长
12 weeks
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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