Entanglement wedge minimum cross-section in holographic massive gravity theory

Liu, Peng; Niu, Chao; Shi, Zi-Jian; Zhang, Cheng-Yong

doi:10.1007/jhep08(2021)113

Cited by 15 publications

(13 citation statements)

References 72 publications

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“…Due to its usefulness and interesting properties, the study of EWCS has gained appreciable amount of attention in recent times. Some of these interesting observations in this direction can be found in [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”

Section: Jhep02(2022)192mentioning

confidence: 91%

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Chowdhury

Saha

Gangopadhyay

2022

J. High Energ. Phys.

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The signature of noncommutativity on various measures of entanglement has been observed by considering the holographic dual of noncommutative super Yang-Mills theory. We have followed a systematic analytical approach in order to compute the holographic entanglement entropy corresponding to a strip like subsystem of length l. The relationship between the subsystem size (in dimensionless form) $$ \frac{l}{a} $$ l a and the turning point (in dimensionless form) introduces a critical length scale $$ \frac{l_c}{a} $$ l c a which leads to three domains in the theory, namely, the deep UV domain (l < lc; aut » 1, aut ∼ aub), deep noncommutative domain (l > lc, aub> aut » 1) and deep IR domain (l > lc, aut « 1). This in turn means that the length scale lc distinctly points out the UV/IR mixing property of the non-local theory under consideration. We have carried out the holographic study of entanglement entropy for each of these domains by employing both analytical and numerical techniques. The broken Lorentz symmetry induced by noncommutativity has motivated us to redefine the entropic c-function. We have obtained the noncommutative correction to the c-function upto leading order in the noncommutative parameter. We have also looked at the behaviour of this quantity over all the domains of the theory. We then move on to compute the minimal cross-section area of the entanglement wedge by considering two dis- joint subsystems A and B. On the basis of EP = EW duality, this leads to the holographic computation of the entanglement of purification. The correlation between two subsystems, namely, the holographic mutual information I(A : B) has also been computed. Moreover, the computations of EW and I(A : B) has been done for each of the domains in the theory. We have then briefly discussed the effect of the UV cut-off on the IR behaviours of these quantities. Finally, we consider a black hole geometry with a noncommutative parameter and study the influence of both noncommutativity and finite temperature on the various measures of quantum entanglement.

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Section: Jhep02(2022)192mentioning

confidence: 91%

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Chowdhury

Saha

Gangopadhyay

2022

J. High Energ. Phys.

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“…Moreover, even for the translational symmetry breaking, entanglement entropy has only been studied with the explicit breaking case [30,42,[116][117][118][119][120][121][122] and the analysis with the spontaneous breaking is still missing. Thus, in this paper, the entanglement entropy with spontaneously broken translational symmetry is analyzed for the first time.…”

Section: Jhep06(2022)078mentioning

confidence: 99%

Holographic entanglement density for spontaneous symmetry breaking

Jeong

Kim

Sun

2022

J. High Energ. Phys.

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We investigate the properties of the holographic entanglement entropy of the systems in which the U(1) or the translational symmetry is broken spontaneously. For this purpose, we define the entanglement density of the strip-subsystems and examine both the first law of entanglement entropy (FLEE) and the area theorem. We classify the conditions that FLEE and/or the area theorem obey and show that such a classification may be useful for characterizing the systems. We also find universalities from both FLEE and the area theorem. In the spontaneous symmetry breaking case, FLEE is always obeyed regardless of the type of symmetry: U(1) or translation. For the translational symmetry, the area theorem is always violated when the symmetry is weakly broken, independent of the symmetry breaking patterns (explicit or spontaneous). We also argue that the log contribution of the entanglement entropy from the Goldstone mode may not appear in the strongly coupled systems.

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“…Upto x = x c , connected phase is the physical whereas beyond x > x c disconnected phase is physical. Some recent works in this direction can be found in [37][38][39][40][41]. In order to compute the critical length x c for the case in hand, we firstly fix the parameters d = 3, l = 3 and z 0 = 10.…”

Section: Holographic Entanglement Entropymentioning

confidence: 99%

Mixed state information theoretic measures in boosted black brane

Chowdhury¹,

Gangopadhyay²

2022

Preprint

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In this paper, we study various mixed state information theoretic quantities for a boosted black brane geometry. We have considered two set ups, namely, the subsystem taken parallel and perpendicular to the direction of the boost. The quantities that we calculate are the entanglement wedge cross-section, mutual information, entanglement negativity and mutual complexity. In particular, we study the dependence of these quantities on the boost parameter. We then proceed to calculate the asymmetry ratios of these quantities, and observe that they are independent of the subsystem size. Finally, we proceed to study an interesting limit of the boosted black brane geometry, which is the so called AdS wave geometry. We once again compute all the mixed state information theoretic quantities for this geometry.

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Entanglement wedge minimum cross-section in holographic massive gravity theory

Cited by 15 publications

References 72 publications

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Holographic entanglement density for spontaneous symmetry breaking

Mixed state information theoretic measures in boosted black brane

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