All Questions
Tagged with ads-cft quantum-entanglement
22
questions
4
votes
0
answers
65
views
Confusion regarding the Susskind-Uglum conjecture
I have a very basic confusion regarding entropies in holography. In AdS/CFT, the Susskind-Uglum conjecture states that the generalized entropy of a bulk region, given by
$$S_{\text{gen}}(A) = \frac{\...
- 482
2
votes
1
answer
150
views
In the context of the holographic principle, is the bulk-boundary correspondence due to entanglement?
According to the holographic principle, a "bulk" region of D dimensions corresponds to a "boundary" region of D-1 dimensions. In this context, the laws of physics of the bulk can ...
- 2,462
2
votes
0
answers
298
views
Why are asymptotically flat two-sided black holes entangled?
So I've been reading through Maldacena and Susskind's paper on ER = EPR, and I ran into a question. They start by analyzing the AdS eternal black hole,
which has a thermofield double description
$$|\...
- 1,055
0
votes
0
answers
83
views
Entanglement entropy with a local operator insertion
According to several papers discussing the behavior of entanglement entropy (EE) with a local quench or a local operator insertion (cf. https://arxiv.org/abs/1911.04797), if the operator was inserted ...
- 151
1
vote
0
answers
90
views
Holographic Entanglement Entropy for a mathematician
I'm not sure if this is an appropriate question for this site, but figured I'd give it a shot. I'm a mathematician (with an extremely limited background in physics) and have come across some ideas ...
2
votes
1
answer
112
views
Can we have entanglement entropy in the SYK model?
I know that defining of entanglement entropy and Ryu-Takayanagi formula in the AdS/CFT, can we define these in the SYK model?
- 89
1
vote
0
answers
115
views
How to compute a state exhibiting a given entanglement entropy?
We`ve known how to calculate entanglement entropy from a given ground state: make an entanglement cut (that divide system into subsystems $A$ and $B$), take the partial trace and
$$S=-\operatorname{Tr}...
- 169
3
votes
1
answer
233
views
Holographic entanglement entropy (Thermal case)
I'm trying to calculate the entanglement entropy in CFT2/AdS3 in the thermal case for a finite interval (-a,a). I'm reading the paper of Takayanagi and Rangamani (2016): https://arxiv.org/abs/1609....
- 33
1
vote
0
answers
473
views
Tensor Network from Lattice
I read an article about tensor networks and they seem very interesting and a promising approach to studying the relations between entanglement, gravity and quantum information. How does this network ...
- 67
5
votes
0
answers
181
views
Black holes in AdS/CFT
In Swingle's work Entanglement Renormalization and Holography, he mentioned that a black hole in AdS bulk corresponds to a finite temperature boundary state. With the MERA picture of the entanglement ...
- 1,548
0
votes
1
answer
137
views
Holographic entanglement entropy for measures other than the Von Neumann entropy
In Ads-CFT, the Ryu-Takayanagi Entanglement entropy formula gives a nice geometric interpretation (in the bulk) for the entanglement of a region in a CFT. Also, it is much easier to calculate the ...
- 3,905
2
votes
1
answer
416
views
Holographic geodesic derivation in AdS3 and BTZ
I am trying to derive equation 2.4 in the article https://arxiv.org/abs/hep-th/0603001
The AdS3 metric in global coordinates $(t,\rho,\theta)$ is given by
\begin{align}
ds^2=R^2(-\cosh^2\rho dt^2+d\...
- 194
2
votes
0
answers
90
views
Question about general direction of development of application of Tensor Networks to AdS/CFT
I am quite interested in the area of application of Tensor Networks(TNs) to AdS/CFT correspondence. I would like to clarify certain points in order to get better general picture.
What is the main ...
3
votes
1
answer
321
views
Implication of non-positive tripartite information
Hayden et al 2011 showed that tripartite information is non-positive given Ryu-Takanayagi formula. (For definition of tripartite information, see for instance section 4.4 of this paper)
Is there ...
- 145
2
votes
1
answer
276
views
Holographic dual of a massive QFT?
A naive question about holographic dual of a massive QFT: The Ryu-Takanayagi formula for the entanglement entropy (see their paper) seem to suggest that the holographic dual of a massive QFT (e.g. a ...
- 1,002