Black holes, entanglement and random matrices

被引:32
作者
Balasubramanian, Vijay [1 ,2 ]
Berkooz, Micha [3 ]
Ross, Simon F. [4 ]
Simon, Joan [5 ,6 ]
机构
[1] Univ Penn, David Rittenhouse Labs, Philadelphia, PA 19104 USA
[2] CUNY, Grad Ctr, Initiat Theoret Sci, New York, NY 10016 USA
[3] Weizmann Inst Sci, Dept Particle Phys & Astrophys, IL-76100 Rehovot, Israel
[4] Univ Durham, Dept Math Sci, Ctr Particle Theory, Durham DH1 3LE, England
[5] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland
[6] Univ Edinburgh, Maxwell Inst Math Sci, Edinburgh EH9 3JZ, Midlothian, Scotland
基金
英国科学技术设施理事会; 英国工程与自然科学研究理事会;
关键词
black hole entropy; entanglement; wormholes; holography; QUANTUM ENTANGLEMENT; SYSTEM;
D O I
10.1088/0264-9381/31/18/185009
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We provide evidence that strong quantum entanglement between Hilbert spaces does not generically create semiclassical wormholes between the corresponding geometric regions in the context of the AdS/CFT correspondence. We propose a description of low-energy gravity probes as random operators on the space of black hole states. We use this description to compute correlators between the entangled systems, and argue that a wormhole can only exist if correlations are large. Conversely, we also argue that large correlations can exist in the manifest absence of a Lorentzian wormhole. Thus the strength of the entanglement cannot generically diagnose spacetime connectedness, without information on the spectral properties of the probing operators. Our random matrix picture of probes also provides suggestive insights into the problem of 'seeing behind a horizon'.
引用
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页数:25
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