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Black holes, entanglement and random matrices.

Balasubramanian, Vijay and Berkooz, Micha and Ross, Simon F. and Simón, Joan (2014) 'Black holes, entanglement and random matrices.', Classical and quantum gravity., 31 (18). p. 185009.

Abstract

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'.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1088/0264-9381/31/18/185009
Publisher statement:© 2014 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0264-9381/31/18/185009.
Date accepted:No date available
Date deposited:03 September 2014
Date of first online publication:28 August 2014
Date first made open access:No date available

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