Wormholes and holographic decoherence

Anegawa, Takanori; Iizuka, Norihiro; Tamaoka, Kotaro; Ugajin, Tomonori

doi:10.1007/jhep03(2021)214

“…This suggestion brings up a naive but important question: does this mean we can see spatial wormholes only when we have quantum entanglement? This question has been also addressed in [32,33].…”

Section: Jhep10(2021)205mentioning

confidence: 95%

“…See also recent studies [33,[57][58][59] for holographic properties of the TMD state. Note that in two-dimensional CFTs, we can approximate log Z thermodinamic limit.…”

Section: Jhep10(2021)205mentioning

confidence: 99%

Product of random states and spatial (half-)wormholes

Goto

¹

,

Kusuki

²

,

Tamaoka

³

et al. 2021

J. High Energ. Phys.

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We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein-Rosen bridge. In this paper, we explore the possibility of the emergence of similar geometric structure from classical correlation, in the AdS/CFT setup. To this end, we consider a setup where we have two decoupled CFT Hilbert spaces, then choose a random typical state in one of the Hilbert spaces and the same state in the other. The total state in the fine-grained picture is of course a tensor product state, but averaging over the states sharing the same random coefficients creates a geometric connection for simple probes. Then, the apparent spatial wormhole causes a factorization puzzle. We argue that there is a spatial analog of half-wormholes, which resolves the puzzle in the similar way as the spacetime half-wormholes.

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“…This suggestion brings up a naive but important question: does this mean we can see spatial wormholes only when we have quantum entanglement? This question has been also addressed in [31,32].…”

Section: Emergence Of Einstein-rosen Bridge From Classical Correlationsmentioning

confidence: 95%

“…See also recent studies [32,[56][57][58] for holographic properties of the TMD state. Note that in two-dimensional CFTs, we can approximate log Z When we apply the ETH on the second term, we obtain…”

Section: Time-averagingmentioning

confidence: 99%

Product of Random States and Spatial (Half-)Wormholes

Goto,

Kusuki,

Tamaoka

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein-Rosen bridge. In this paper, we explore the possibility of the emergence of similar geometric structure from classical correlation, in the AdS/CFT setup. To this end, we consider a setup where we have two decoupled CFT Hilbert spaces, then choose a random typical state in one of the Hilbert spaces and the same state in the other. The total state in the fine-grained picture is of course a tensor product state, but averaging over the states sharing the same random coefficients creates a geometric connection for simple probes. Then, the apparent spatial wormhole causes a factorization puzzle. We argue that there is a spatial analog of half-wormholes, which resolves the puzzle in the similar way as the spacetime half-wormholes.

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“…where U 1,2 are the end points of the geodesic (the derivation can be seen in [68,69], for example). The above expression may correspond to non-minimal geodesics because we have non-trivial identifications (3.39) and (3.40).…”

Section: Btz Blackhole In Embedding Coordinatesmentioning

confidence: 99%

Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement

Goto,

Mollabashi,

Nozaki

et al. 2021

Preprint

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In this paper, we look for signatures of quantum revivals in two-dimensional conformal field theories (2d CFTs) on a spatially compact manifold by using operator entanglement. It is believed that thermalization does not occur on spatially compact manifolds as the quantum state returns to its initial state which is a phenomenon known as quantum revival. We find that in CFTs such as the free fermion CFT, the operator mutual information exhibits quantum revival in accordance with the relativistic propagation of quasiparticles while in holographic CFTs, the operator mutual information does not exhibit this revival and the quasiparticle picture breaks down. Furthermore, by computing the tripartite operator mutual information, we find that the information scrambling ability of holographic CFTs can be weakened by the finite size effect. We propose a modification of an effective model known as the line tension picture to explain the entanglement dynamics due to the strong scrambling effect and find a close relationship between this model and the wormhole (Einstein-Rosen Bridge) in the holographic bulk dual.

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Wormholes and holographic decoherence

Cited by 9 publications

References 44 publications

Product of random states and spatial (half-)wormholes

Product of random states and spatial (half-)wormholes

Product of Random States and Spatial (Half-)Wormholes

Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement

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