Entanglement and out-of-equilibrium dynamics in holographic models of de Sitter QFTs

Juan F. Pedraza; Sandipan Kundu; Willy Fischler

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Entanglement and out-of-equilibrium dynamics in holographic models of de Sitter QFTs

Willy Fischler, Sandipan Kundu, Juan F. Pedraza

High Energy Physics - Theory · Submitted 21 Nov 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This behavior is faster than random walk and suggests the existence of free light-like degrees of freedom.

how it is stated · hedged possibility 0.98 read the record →

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arXiv ID1311.5519 (version 3)

Pith IDU6JZSWJQ, Pith's permanent record of this paper and its review

CitationJuan F. Pedraza, Sandipan Kundu, Willy Fischler. "Entanglement and out-of-equilibrium dynamics in holographic models of de Sitter QFTs." arXiv:1311.5519 (2013). https://pith.science/paper/U6JZSWJQ

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.38 · compares with prior results 0.46 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and out-of-equilibrium configurations. The latter corresponds to the Vaidya generalization of the AdS black hole solutions with hyperbolic topology. We compute analytically the entanglement entropy of spherical regions and show that there is a transition when the sphere is as big as the horizon. We also explore thermalization in time-dependent situations in which the system evolves from a non-equilibrium state to the Bunch-Davies state. We find that the saturation time is equal to the light-crossing time of the sphere. This behavior is faster than random walk and suggests the existence of free light-like degrees of freedom.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions.	contribution 0.88	0.86	0.05	asserted 0.78
s1	We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and out-of-equilibrium configurations.	contribution 0.69	0.96	0.11	asserted 1.00
s2	The latter corresponds to the Vaidya generalization of the AdS black hole solutions with hyperbolic topology.	method 0.67	0.32	0.04	asserted 1.00
s3	We compute analytically the entanglement entropy of spherical regions and show that there is a transition when the sphere is as big as the horizon.	result 0.95	0.97	0.22	asserted 1.00
s4	We also explore thermalization in time-dependent situations in which the system evolves from a non-equilibrium state to the Bunch-Davies state.	contribution 0.99	0.86	0.08	asserted 0.86
s5	We find that the saturation time is equal to the light-crossing time of the sphere.	result 1.00	0.96	0.19	asserted 1.00
s6	This behavior is faster than random walk and suggests the existence of free light-like degrees of freedom.	interpretation 1.00	0.87	0.18	hedged possibility 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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arXiv listing abstract v3

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Original abstract

In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and out-of-equilibrium configurations. The latter corresponds to the Vaidya generalization of the AdS black hole solutions with hyperbolic topology. We compute analytically the entanglement entropy of spherical regions and show that there is a transition when the sphere is as big as the horizon. We also explore thermalization in time-dependent situations in which the system evolves from a non-equilibrium state to the Bunch-Davies state. We find that the saturation time is equal to the light-crossing time of the sphere. This behavior is faster than random walk and suggests the existence of free light-like degrees of freedom.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Extremal Surface Barriers
hep-th 2013-12 conditional novelty 7.0 of 10

A surface with nonpositive extrinsic curvature is a barrier that boundary-anchored extremal surfaces cannot cross, which limits bulk reconstruction in AdS/CFT.
Geometric Aspects of Holographic Bit Threads
hep-th 2018-11 accept novelty 6.0 of 10

Given a known minimal surface, a general algorithm constructs bounded divergenceless vector fields whose flux equals holographic entanglement entropy, with explicit sphere, strip, and black-brane examples plus applica...
de Sitter extremal surfaces
hep-th 2015-01 conditional novelty 6.0 of 10

In de Sitter space, real minimal-area extremal surfaces are null past-lightcone wedges with zero area, while complex extremal surfaces have area matching the dS/CFT central charge.
On the Time Evolution of Holographic n-partite Information
hep-th 2014-06 conditional novelty 5.0 of 10

For n parallel strips with small separation, the holographic n-partite information reduces to a three-entropy combination and is argued, numerically and structurally, to be positive for even n and negative for odd n t...
Thermalization in backgrounds with hyperscaling violating factor
hep-th 2014-01 conditional novelty 5.0 of 10

A new analytic charged Vaidya solution with hyperscaling violation yields entanglement-entropy scaling laws for holographic thermalization: early power-law growth, intermediate linear growth, and saturation at t_s ~ r...

Show 1 more citing papers

Holographic thermal field theory on curved spacetimes
hep-th 2013-12 accept novelty 5.0 of 10

The droplet phase of a holographic CFT on a black hole background is confinement in disguise: a conformal transformation turns the near-horizon neck into a confining circle, explaining suppressed heat transport.

How the literature uses it

37 arXiv papers cite this in 70 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 35 sentences without a confident label

Contests it 1 paper

As noted in [ref] , the reason for the discrepancy is that for a superhorizon sized entangling sphere, [ref] use a non-smooth (or discontinuous) Ryu-Takayanagi surface that does not enter the FRW region.[Their surface can be viewed either as a disconnected surface or as a connected surface consisting of two disconnected pieces extending as far as the horizon $z=2 l$ plus a part of the horizon.

Holographic entanglement entropy for massive flavours in dS_4 · CFT entanglement entropy from CHM map · contest 0.75

Uses its method or tool 1 paper

To obtain the holographic dual of theories in de Sitter, we will use the specific construction based on the hyperbolic (or topological) AdS black hole [ref] .

Holographic Schwinger effect in de Sitter space · Holographic setup · 0.83

Compares with it 4 papers

This explains the discrepancy between ([ref]) and [ref] .

Holographic entanglement entropy for massive flavours in dS_4 · Static de Sitter foliation · 0.86
We found that the whole thermalization process follows the general pattern observed in [ref] .

Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary · Conclusions and discussion · 0.80
The numerical results can be well fitted by the function $t̃_sat = tanh^-1 (R̃)$, as for the HEE [ref] .

Subregion complexity in holographic thermalization with dS boundary · Saturation time · 0.91

Cites it as background 23 papers

Ref. [ref] also computed the holographic RT surfaces that measure the EE of a spherical region in a CFT in de Sitter space in various dimensions.

Holographic entanglement entropy for massive flavours in dS_4 · EE in global de Sitter · 0.93
For later convenience, we call this model a dS boundary model [ref] .

Time-dependent quantum correlations in two-dimensional expanding spacetime · Covariant entanglement entropy in dS space · 0.97
The holographic understanding of the strongly coupled QFTCS were proposed in de Sitter (dS) spacetime [ref] .

Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary · Introduction · 0.83

What it cites · 41 sentences without a confident label

Uses the method or tool of 1 paper

Another local way to deal with the UV divergences was introduced in [ref] which amounts to compare entanglement entropies of spheres of similar radii.

A refinement of entanglement entropy and the number of degrees of freedom · Introduction · 0.81

Compares with 6 papers

For a fixed spherical region, the entanglement entropy follows a series of stages similar to what was found in [ref] for theories living in flat space.

Entanglement growth during thermalization in holographic systems · Conclusions and future directions · 0.99
For a fixed spherical region, the entanglement entropy follows a series of stages similar to what was found in [ref] for theories living in flat space.

Entanglement Tsunami: Universal Scaling in Holographic Thermalization · Conclusions and future directions · 0.99
Therefore, [equation] Behaviors of the extremal surfaces for $RH<1$ and $RH>1$ are entirely different and for $RH>1$, extremal surfaces do not penetrate the region inside $RH=1$; this feature is schematically shown in figure [ref].[A similar behavior of the extremal surfaces has also been observed for Kasner-AdS soliton background [ref] .] Also note that the behavior of the extremal surfaces near the Killing horizon is rather unique, since the near horizon region of the bulk contributes insignificantly to the area of the surfaces.[For a discussion on behavior of the extremal surfaces near an event horizon see [ref] .] Presence of the Killing horizon is the bulk reflection of the boundary causal structure and it is responsible for the phase transition of the entanglement entropy.

Extremal surfaces as bulk probes in AdS/CFT · $RH>1$: Disconnected solution · 0.83

Cites as background 40 papers

It is interesting to note that the authors of [ref] derived a family of solutions dual to QFTs in de Sitter space for arbitrary temperature (not necessarily on the de Sitter invariant vacuum).

Holographic models of de Sitter QFTs · The static patch · 0.85
This background has been used extensively in the program of holographic thermalization [ref] .

Thermalization of Strongly Coupled Field Theories · Gravitational collapse and black hole formation · 0.92
This background has been used extensively in the program of holographic thermalization [ref] .

Holographic Thermalization · Gravitational collapse and black hole formation · 0.92

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