scholarly journals Holographic subregion complexity in unbalanced holographic superconductors

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
Yu Shi ◽  
Qiyuan Pan ◽  
Jiliang Jing
Keyword(s):  
Phase Transition ◽  
Linear Growth ◽  
Entanglement Entropy ◽  
Growth Behavior ◽  
Holographic Superconductors ◽  
Holographic Entanglement Entropy ◽  
Strip Geometry

AbstractBy using the subregion CV conjecture, we numerically investigate the behavior of the holographic subregion complexity (HSC) and compare it with the holographic entanglement entropy (HEE) in the unbalanced holographic superconductors, which indicates that both the HEE and HSC can be used as good probes to the phase transition in unbalanced holographic superconductors. We observe that the HEE and HSC exhibit a similar linear growth behavior with the change of width for a strip geometry. However, for different fixed widths, the HSC exhibits different behaviors with the change of the temperature, while the behavior of HEE remains consistent. In particular, we find that there are certain conditions that make it difficult to observe the phase transition of this system through the HSC approach. Furthermore, we also note that the unbalance parameter has different effects on the HSC, while the HEE always increases as the unbalance parameter increases.

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 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 Van der Waals-Like Phase Transition from Holographic Entanglement Entropy in Lorentz Breaking Massive Gravity

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Xian-Ming Liu ◽  
Hong-Bo Shao ◽  
Xiao-Xiong Zeng
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Entanglement Entropy ◽  
Massive Gravity ◽  
First Order ◽  
Holographic Entanglement Entropy ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Second Order Phase Transition

Phase transition of AdS black holes in Lorentz breaking massive gravity has been studied in the framework of holography. We find that there is a first-order phase transition (FPT) and second-order phase transition (SPT) both in Bekenstein-Hawking entropy- (BHE-) temperature plane and in holographic entanglement entropy- (HEE-) temperature plane. Furthermore, for the FPT, the equal area law is checked and for the SPT, the critical exponent of the heat capacity is also computed. Our results confirm that the phase structure of HEE is similar to that of BHE in Lorentz breaking massive gravity, which implies that HEE and BHE have some potential underlying relationship.

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 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.

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