Entanglement between two evaporating black holes

Miyata, Akihiro; Ugajin, Tomonori

doi:10.48550/arxiv.2111.11688

Cited by 5 publications

(8 citation statements)

References 31 publications

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“…We will see the exact match of the combinations of modified cosmic branes in AdS 3 bulk from proposals in eqs. ( 40),( 42) and (44). Our results then indicate that the island for reflected entropy and entanglement negativity match with each other for general 2D black holes coupled with CFT matters.…”

Section: Consistency Check Of Island Formula Of Entanglement Negativi...supporting

confidence: 68%

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Effective reflected entropy and entanglement negativity for general 2D eternal black holes

Jiong¹,

Lu²

2022

Preprint

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Both reflected entropy and entanglement negativity provide valid measures of entanglement between subsystems of a mixed state. For general 2D eternal black holes coupled with CFT matters in large c limit, we perform the replica-trick computation and find that both effective Renyi reflected entropy and effective entanglement negativity can be expressed in terms of the combination of modified backreacting cosmic branes in AdS 3 bulk. We then develop a holographic scheme to calculate effective reflected entropy and entanglement negativity for general 2D eternal black holes coupled with CFT matters in large c limit. Using the scheme, we check the consistency condition of the island formulae for entanglement negativity and reflected entropy. We find that the combinations of modified backreacting cosmic branes in AdS 3 bulk from the two island proposals of entanglement negativity exactly match with each other. Finally, we study the saturation of the reflected entropy inequality.

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Section: Consistency Check Of Island Formula Of Entanglement Negativi...supporting

confidence: 68%

“…Proposal eq. (44) states that E(A : B) is given by the combination of the following generalized entanglement entropies…”

Section: Phase-ivmentioning

confidence: 99%

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Effective reflected entropy and entanglement negativity for general 2D eternal black holes

Jiong¹,

Lu²

2022

Preprint

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“…Yet another possibility is turning on gravity in the reservoir -without requiring double holography (see work starting with [31,32]) -and subsequently testing whether an ERB forms dynamically. In [32], it was shown that black holes evaporating into gravitating baths in certain toy models feature a Hawking-Page-like [33] transition after the Page time; of particular relevance is the work of [34,35], which started out with boundary conditions for two gravitating universes in JT gravity in the state (1.2) and showed that a Euclidean path integral preparation gave a dominant connected geometry for the computation of the von Neumann entropy. Yet another approach to connect the black hole to the radiation was made in [36], relying crucially on an end-of-the-world brane to cap off the black hole spacetime at r > 0.…”

Section: Introductionmentioning

confidence: 99%

Canonical Purification of Evaporating Black Holes

Engelhardt,

Folkestad

2022

Preprint

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We show that the canonical purification of an evaporating black hole after the Page time consists of a short, connected, Lorentzian wormhole between two asymptotic boundaries, one of which is unitarily related to the radiation. This provides a quantitative and general realization of the predictions of ER=EPR in an evaporating black hole after the Page time; this further gives a standard AdS/CFT calculation of the entropy of the radiation (without modifications of the homology constraint). Before the Page time, the canonical purification consists of two disconnected, semiclassical black holes. From this, we construct two bipartite entangled holographic CFT states, with equal (and large) amount of entanglement, where the semiclassical dual of one has a connected ERB and the other does not. From this example, we speculate that measures of multipartite entanglement may offer a more complete picture into the emergence of spacetime.

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“…See also [4] for a very nice review on the topic. Furthermore, the rule were applied in de Sitter spacetime [58][59][60][61][62][63], flat-space cosmology 4 [64] and separate universes [49,53,[65][66][67].…”

Section: Introductionmentioning

confidence: 99%

Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes

Omidi

2021

Preprint

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In this paper, we study the von Neumann entropy of Hawking radiation S R for a d + 2dimensional Hyperscaling Violating (HV) black brane which is coupled to two Minkowski spacetimes as the thermal baths. We consider two different situations for the matter fields: First, the matter fields are described by a CF T d+2 whose central charge c is very large. Second, they are described by a d+2 dimensional HV QFT which has a holographic gravitational theory that is a HV geometry at zero temperature. For both cases, we calculate the Page curve of the Hawking radiation as well as the Page time t Page . For the first case, S R grows linearly with time before the Page time and saturates after this time. Moreover, t Page is proportional to 2S th cT , where S th and T are the thermal entropy and temperature of the black brane. For the second case, when the hyperscaling violation exponent θ m of the matter fields is zero, the results are very similar to those for the first case. However, when θ m = 0, the entropy of Hawking radiation grows exponentially before t Page and saturates after this time. Furthermore, the Page time is proportional to log 1 GN,r , where G N,r is the renormalized Newton's constant. It was also observed that for both cases, t Page is a decreasing and an increasing function of the dynamical exponent z and hyperscaling violation exponent θ of the black brane geometry, respectively. Moreover, for the second case, t Page is independent of z m , and for θ m = 0, it is a decreasing function of θ m .

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Entanglement between two evaporating black holes

Cited by 5 publications

References 31 publications

Effective reflected entropy and entanglement negativity for general 2D eternal black holes

Effective reflected entropy and entanglement negativity for general 2D eternal black holes

Canonical Purification of Evaporating Black Holes

Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes

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