Circuit Complexity from Cosmological Islands

Choudhury, Sayantan; Chowdhury, Satyaki; Gupta, Nitin; Mishara, Anurag; Selvam, Sachin Panneer; Panda, Sudhakar; Pasquino, Gabriel D.; Singha, Chiranjeeb; Swain, Abinash

doi:10.3390/sym13071301

Cited by 47 publications

(31 citation statements)

References 135 publications

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“…We conclude by noting some of the latest works on the information paradox, as a point of entry into the recent developments [45][46][47][48][49][50][51][52].…”

Section: Jhep08(2021)119mentioning

confidence: 99%

Dirichlet baths and the not-so-fine-grained Page curve

Ghosh

Krishnan

2021

J. High Energ. Phys.

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We present a doubly holographic prescription for computing entanglement entropy on a gravitating brane. It involves a Ryu-Takayanagi surface with a Dirichlet anchoring condition. In braneworld cosmology, a related approach was used previously in arXiv:2007.06551. There, the prescription naturally computed a co-moving entanglement entropy, and was argued to resolve the information paradox for a black hole living in the cosmology. In this paper, we show that the Dirichlet prescription leads to reasonable results, when applied to a recently studied wedge holography set up with a gravitating bath. The nature of the information paradox and its resolution in our Dirichlet problem have a natural understanding in terms of the strength of gravity on the two branes and at the anchoring location. By sliding the anchor to the defect, we demonstrate that the limit where gravity decouples from the anchor is continuous — in other words, as far as island physics is considered, weak gravity on the anchor is identical to no gravity. The weak and (moderately) strong gravity regions on the brane are separated by a “Dirichlet wall”. We find an intricate interplay between various extremal surfaces, with an island coming to the rescue whenever there is an information paradox. This is despite the presence of massless gravitons in the spectrum. The overall physics is consistent with the slogan that gravity becomes “more holographic”, as it gets stronger. Our observations strengthen the case that the conventional Page curve is indeed of significance, when discussing the information paradox in flat space. We work in high enough dimensions so that the graviton is non-trivial, and our results are in line with the previous discussions on gravitating baths in arXiv:2005.02993 and arXiv:2007.06551.

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“…We conclude by noting some of the latest works on the information paradox, as a point of entry into the recent developments [45][46][47][48][49][50][51][52].…”

Section: Jhep08(2021)119mentioning

confidence: 99%

Dirichlet baths and the not-so-fine-grained Page curve

Ghosh

Krishnan

2021

J. High Energ. Phys.

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“…so that ∆t is not small but in fact scales as r which is large. Expanding (23) in the vicinity of (24) gives ∆t r 2 ∼…”

Section: Searching For Islandsmentioning

confidence: 99%

“…with K defined in (22). For a nontrivial island-like solution, this expression for ∆t r must match that in (23) in the vicinity of the island boundary (24). With t K ∼ being small, we expand and obtain at leading order…”

Section: Searching For Islandsmentioning

confidence: 99%

Cosmologies, singularities and quantum extremal surfaces

Goswami,

Narayan,

Saini

2021

Preprint

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Following arXiv:2012.07351 [hep-th], we study quantum extremal surfaces in various families of cosmologies with Big-Crunch singularities, by extremizing the generalized entropy in 2-dimensional backgrounds which can be thought of as arising from dimensional reduction. Focussing first on the isotropic AdS Kasner case, introducing a spatial regulator enables relating the locations in time of the quantum extremal surface and the observer. This shows that the quantum extremal surface lags behind the observer location. A potential island-like region, upon analysing more closely near the island boundary, turns out to be inconsistent. Similar results arise for other holographic cosmologies. We then study certain families of null Kasner singularities where we find that the quantum extremal surface can reach the near singularity region although the on-shell generalized entropy is generically singular. We also study other cosmologies including de Sitter (Poincare slicing) and FRW cosmologies under certain conditions.

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“…Instead of first specifying a reference system analogous to the Hawking radiation, Ref. [9] specified spherically symmetric candidate regions I ⊂ Σ M and asked whether there exists a reference region R ⊂ Σ R such that I is an island of R. (See [10][11][12] for other work on cosmological islands and thermofield-doubled universes. )…”

Section: Introductionmentioning

confidence: 99%

Islands in Closed and Open Universes

Bousso,

Wildenhain

2022

Preprint

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We show that spatial curvature has a significant effect on the existence of entanglement islands in cosmology. We consider a homogeneous, isotropic universe with thermal radiation purified by a reference spacetime. Arbitrarily small positive curvature guarantees that the entire universe is an island. Proper subsets of the timesymmetric slice of a closed or open universe can be islands, but only if the cosmological constant is negative and sufficiently large in magnitude.

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Circuit Complexity from Cosmological Islands

Cited by 47 publications

References 135 publications

Dirichlet baths and the not-so-fine-grained Page curve

Dirichlet baths and the not-so-fine-grained Page curve

Cosmologies, singularities and quantum extremal surfaces

Islands in Closed and Open Universes

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