Replica wormholes and capacity of entanglement

Kawabata, Kohki; Nishioka, Tatsuma; Okuyama, Yoshitaka; Watanabe, Kento

doi:10.1007/jhep10(2021)227

Cited by 54 publications

(14 citation statements)

References 129 publications

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“…We have been focused on the exploration of the capacity only in the simple toy models of black holes, but it should be feasible to extend our work to more realistic black holes where we believe the capacity will exhibit a peak or discontinuity when there happens a phase transition between replica wormhole geometries. We hope to report further investigations of the capacity in a 2d CFT coupled to the JT gravity in future work [108]. 3 For the grand canonical ensembles associated to asymptotic boundaries or baby universes, see [56,99], and to defects in the bulk see [100,101].…”

Section: Discussionmentioning

confidence: 99%

Probing Hawking radiation through capacity of entanglement

Kawabata,

Nishioka,

Okuyama

et al. 2021

Preprint

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We consider the capacity of entanglement in models related with the gravitational phase transitions. The capacity is labeled by the replica parameter which plays a similar role to the inverse temperature in thermodynamics. In the end of the world brane model of a radiating black hole the capacity has a peak around the Page time indicating the phase transition between replica wormhole geometries of different types of topology. Similarly, in a moving mirror model describing Hawking radiation the capacity typically shows a discontinuity when the dominant saddle switches between two phases, which can be seen as a formation of island regions. In either case we find the capacity can be an invaluable diagnostic for a black hole evaporation process.

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Section: Discussionmentioning

confidence: 99%

Probing Hawking radiation through capacity of entanglement

Kawabata,

Nishioka,

Okuyama

et al. 2021

Preprint

Self Cite

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“…Finally, the capacity of entanglement is a concept recently gaining popularity in the context of the black hole information paradox [46,47]. This is because it is a probe that is more sensitive to the intricate phenomena that take place during black hole evaporation compared to the entanglement entropy which is the quantity that had been extensively studied in the past.…”

Section: 10)mentioning

confidence: 99%

Probing the entanglement of operator growth

Patramanis

2021

Preprint

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In this work we probe the operator growth for systems with Lie symmetry using tools from quantum information. Namely, we investigate the Krylov complexity, entanglement negativity, von Neumann entropy and capacity of entanglement for systems with SU(1,1) and SU(2) symmetry. Our main tools are two-mode coherent states, whose properties allow us to study the operator growth and its entanglement structure for any system in a discrete series representation of the groups under consideration. Our results verify that the quantities of interest exhibit certain universal features in agreement with the universal operator growth hypothesis. Moreover, we illustrate the utility of this approach relying on symmetry as it significantly facilitates the calculation of quantities probing operator growth. In particular, we argue that the use of the Lanczos algorithm, which has been the most important tool in the study of operator growth so far, can be circumvented and all the essential information can be extracted directly from symmetry arguments.

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“…Meanwhile, higher dimensional black hole cases are considered in [41][42][43][44][45][46][47][48] as well as higher derivative gravity [49,50]. Interestingly, the page curve can be realized in the moving mirror scenario [51][52][53], and other quantum information or thermodynamic quantities except entanglement entropy are investigated within island formula [54][55][56][57][58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

The universality of islands outside the horizon

He,

Sun,

Zhao

et al. 2021

Preprint

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We systematically calculate the quantum extremal surface (QES) associated with Hawking radiation for general D-dimensional (D ≥ 2) asymptotically flat (or AdS) eternal black holes using the island formula. We collect the Hawking radiation particles by a non-gravitational bath and find that a QES exists in the near-horizon region outside the black hole when c • G (D) is smaller enough where c is the central charge of the conformal matter and G (D) the D-dimensional Newton constant. The locations of the QES in these backgrounds are obtained and the late-time radiation entropy saturates the two times of black hole entropy. Finally, we numerically check that the no island configuration exists once c•G (D) exceeds a certain upper bound in two-dimensional generalized dilaton theories (GDT).

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Replica wormholes and capacity of entanglement

Cited by 54 publications

References 129 publications

Probing Hawking radiation through capacity of entanglement

Probing Hawking radiation through capacity of entanglement

Probing the entanglement of operator growth

The universality of islands outside the horizon

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