scholarly journals Entanglement entropy of AdS5 × S5 with massless flavors at nonzero temperature

2018 ◽  
Vol 33 (07) ◽  
pp. 1850033
Author(s):  
Sen Hu ◽  
Guozhen Wu
Keyword(s):  
Phase Transition ◽  
Minimal Surface ◽  
Event Horizon ◽  
Line Segment ◽  
Entanglement Entropy ◽  
Nonzero Temperature ◽  
Transition Phenomenon ◽  
Holographic Entanglement Entropy ◽  
Deconfinement Phase Transition ◽  
The Difference

We consider backreacted [Formula: see text] coupled with [Formula: see text] massless flavors introduced by D7-branes at nonzero temperature. The backreacted geometry is in the Veneziano limit. The temperature of this system is related to the event horizon at [Formula: see text]. Dividing one of the spatial directions into a line segment with length [Formula: see text], we will calculate the holographic entanglement entropy (HEE) between the two subspaces. We study the behavior near the event horizon, and finally find that there exists confinement/deconfinement phase transition phenomenon near the horizon since the difference between the entanglement entropy of the connected minimal surface and the disconnected one changes sign.

scholarly journals Entanglement entropy of AdS5 × S5 with massive flavors

2018 ◽  
Vol 33 (03) ◽  
pp. 1850008
Author(s):  
Sen Hu ◽  
Guozhen Wu
Keyword(s):  
Phase Transition ◽  
Line Segment ◽  
Entanglement Entropy ◽  
Point Of View ◽  
Nucl Phys ◽  
Zero Temperature ◽  
Holographic Entanglement Entropy ◽  
Deconfinement Phase Transition

We consider backreacted [Formula: see text] coupled with [Formula: see text] massive flavors introduced by D7 branes. The backreacted geometry is in the Veneziano limit with fixed [Formula: see text]. By dividing one of the directions into a line segment with length l, we get two subspaces. Then we calculate the entanglement entropy between them. With the method of [I. R. Klebanov, D. Kutasov and A. Murugan, Nucl. Phys. B 796, 274 (2008)], we are able to find the cut-off independent part of the entanglement entropy and finally find that this geometry shows no confinement/deconfinement phase transition at zero temperature from the holographic entanglement entropy point of view similar to the case in pure [Formula: see text].

scholarly journals Holographic entanglement entropy in general holographic superconductor models with logarithmic nonlinear electrodynamics

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Weiping Yao ◽  
Qiong Yang ◽  
Xiaobao Liu ◽  
Jiliang Jing
Keyword(s):  
Phase Transition ◽  
General Feature ◽  
Chemical Potential ◽  
Entanglement Entropy ◽  
Phase Transition Point ◽  
Nonlinear Electrodynamics ◽  
Holographic Superconductor ◽  
Holographic Entanglement Entropy ◽  
Deconfinement Phase Transition ◽  
Second Order Phase Transition

AbstractWe explore the behaviors of the holographic entanglement entropy (HEE) in holographic superconductor models with logarithmic nonlinear electrodynamics (LNE) both in AdS soliton and in AdS black hole backgrounds. We observe that the slope of the HEE at the phase transition point behaves discontinuously for different LNE parameters b and geometry parameters $$\ell $$ ℓ , which may be a quite general feature for the second order phase transition. Moreover, at the critical point, the stronger nonlinearity of the LNE gives rise to the smaller HEE in metal/superconductor while leaves the HEE in insulator/superconductor model as is. Interestingly, the behavior of the HEE also implies a “confinement/deconfinement” phase transition in the insulator/superconductor model, and the critical width of the phase transition depends on the chemical potential and the strength of the LNE.

scholarly journals Holographic complexity of “black” non-susy D3-brane and the high temperature limit

2019 ◽  
Vol 34 (01) ◽  
pp. 1950003 ◽  
Author(s):  
Sourav Karar ◽  
Sunandan Gangopadhyay ◽  
A. S. Majumdar
Keyword(s):  
High Temperature ◽  
Entanglement Entropy ◽  
Temperature Limit ◽  
Yang Mills ◽  
High Temperature Limit ◽  
Holographic Entanglement Entropy ◽  
The Difference ◽  
Super Yang Mills Theory

The holographic complexity of a “black” non-susy D3-brane is computed. The difference in the holographic complexity between this geometry in the Fefferman–Graham coordinates and that of the AdS5 geometry is obtained for a strip-type subsystem. This is then related to the changes in the energy and the entanglement entropy of the system. We next take the high temperature limit of the change in complexity and observe that it scales with the temperature in the same way as the holographic entanglement entropy. The crossover of the holographic complexity to its corresponding thermal counterpart is similar to the corresponding crossover of the holographic entanglement entropy in the high temperature limit. We further repeat the analysis for [Formula: see text] super-Yang–Mills theory and observe a similar behavior.

scholarly journals Aspects of Hyperscaling Violating geometries at finite cutoff

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Salomeh Khoeini-Moghaddam ◽  
Farzad Omidi ◽  
Chandrima Paul
Keyword(s):  
Phase Transition ◽  
Cross Section ◽  
Entanglement Entropy ◽  
Zero Temperature ◽  
First Order ◽  
Holographic Entanglement Entropy ◽  
First Order Phase Transition ◽  
Ads Spacetime ◽  
Discontinuous Phase ◽  
First Order Phase

Abstract Recently, it was proposed that a $$ T\overline{T} $$ T T ¯ deformed CFT is dual to a gravity theory in an asymptotically AdS spacetime at finite radial cutoff. Motivated by this proposal, we explore some aspects of Hyperscaling Violating geometries at finite cutoff and zero temperature. We study holographic entanglement entropy, mutual information (HMI) and entanglement wedge cross section (EWCS) for entangling regions in the shape of strips. It is observed that the HMI shows interesting features in comparison to the very small cutoff case: it is a decreasing function of the cutoff. It is finite when the distance between the two entangling regions goes to zero. The location of its phase transition also depends on the cutoff, and decreases by increasing the cutoff. On the other hand, the EWCS is a decreasing function of the cutoff. It does not show a discontinuous phase transition when the HMI undergoes a first-order phase transition. However, its concavity changes. Moreover, it is finite when the distance between the two strips goes to zero. Furthermore, it satisfies the bound EW ≥ $$ \frac{I}{2} $$ I 2 for all values of the cutoff.

scholarly journals Bulk entanglement entropy for photons and gravitons in AdS$_3$

2020 ◽  
Vol 8 (5) ◽  
Author(s):  
Alexandre Belin ◽  
Nabil Iqbal ◽  
Jorrit Kruthoff
Keyword(s):  
Hilbert Space ◽  
Excited States ◽  
Central Charge ◽  
Entanglement Entropy ◽  
Vacuum State ◽  
Gravitational Theory ◽  
Perfect Agreement ◽  
Holographic Entanglement Entropy ◽  
The Difference ◽  
Chern Simons

We study quantum corrections to holographic entanglement entropy in AdS_33/CFT_22; these are given by the bulk entanglement entropy across the Ryu-Takayanagi surface for all fields in the effective gravitational theory. We consider bulk U(1)U(1) gauge fields and gravitons, whose dynamics in AdS_33 are governed by Chern-Simons terms and are therefore topological. In this case the relevant Hilbert space is that of the edge excitations. A novelty of the holographic construction is that such modes live not only on the bulk entanglement cut but also on the AdS boundary. We describe the interplay of these excitations and provide an explicit map to the appropriate extended Hilbert space. We compute the bulk entanglement entropy for the CFT vacuum state and find that the effect of the bulk entanglement entropy is to renormalize the relation between the effective holographic central charge and Newton’s constant. We also consider excited states obtained by acting with the U(1)U(1) current on the vacuum, and compute the difference in bulk entanglement entropy between these states and the vacuum. We compute this UV-finite difference both in the bulk and in the CFT finding a perfect agreement.

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