2019
DOI: 10.1007/jhep10(2019)240
|View full text |Cite
|
Sign up to set email alerts
|

Flat entanglement spectra in fixed-area states of quantum gravity

Abstract: We use the Einstein-Hilbert gravitational path integral to investigate gravitational entanglement at leading order O(1/G). We argue that semiclassical states prepared by a Euclidean path integral have the property that projecting them onto a subspace in which the Ryu-Takayanagi or Hubeny-Rangamani-Takayanagi surface has definite area gives a state with a flat entanglement spectrum at this order in gravitational perturbation theory. This means that the reduced density matrix can be approximated as proportional … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

13
230
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
6
1

Relationship

0
7

Authors

Journals

citations
Cited by 125 publications
(243 citation statements)
references
References 65 publications
13
230
0
Order By: Relevance
“…Note the Renyi mutual informations difference is independent of n in this coincidence limit. 13 A similar behavior (called flat spectrum) has been found in other contexts, for example the boundary entropy [55], and in holography [56]. For a U (1) symmetry an analogous calculation can be done where the averaging is replaced by an integration over the group.…”
Section: B Replica Trick For Orbifoldssupporting
confidence: 64%
“…Note the Renyi mutual informations difference is independent of n in this coincidence limit. 13 A similar behavior (called flat spectrum) has been found in other contexts, for example the boundary entropy [55], and in holography [56]. For a U (1) symmetry an analogous calculation can be done where the averaging is replaced by an integration over the group.…”
Section: B Replica Trick For Orbifoldssupporting
confidence: 64%
“…Our analysis is general in that the codimension two surface Γ can be chosen arbitrarily in the whole Euclidean space, which fits nicely with the conjecture [11]. In the context of holographic entanglement entropy in AdS/CFT we have in mind the area fixed state calculation [43] instead of the CFT vacuum [44] in the sense of [24,25]. After we present the replica calculation of gravitational entropy, we will explain general rules of semiclassical computations of the gravity partition functions in the presence of Hayward term.…”
Section: Gravitational Entropy From Hayward Termmentioning
confidence: 61%
“…One can expect we have the similar form as (5.53) even for the generalized entropy in gravity. In this case, the label j would be determined from the eigenvalues of the area operator, which would play a role of the Casimir operator [12,22] (see also recent works in this direction [20,21,[23][24][25][26]). In particular, we will discuss the counterpart of the second term in (5.53) since we have focused on the area-fixed sector.…”
Section: Start From the Hilbert Space Which Includes Gauge-variant Stmentioning
confidence: 99%
See 2 more Smart Citations