Probing phase structure of strongly coupled matter with holographic entanglement measures

Asadi, Mohsen; Amrahi, B.; Eshaghi-Kenari, H.

doi:10.1140/epjc/s10052-023-11214-6

Cited by 7 publications

(4 citation statements)

References 156 publications

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“…Upto d = d c , connected phase is the physical whereas beyond d > d c disconnected phase is physical. Some recent works in this direction can be found in [35,52,[63][64][65][66][67][68][69][70][71][72][73]. We have depicted this fact in Fig.…”

Section: Computation Of Holographic Entanglement Entropymentioning

confidence: 79%

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: Computation Of Holographic Entanglement Entropymentioning

confidence: 79%

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Chowdhury

Saha

Gangopadhyay

2022

J. High Energ. Phys.

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“…[54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69]. In related studies, it has been observed that the behavior of entanglement near phase boundaries can exhibit distinctive characteristics, making it a potentially effective order parameter for phase transitions [28][29][30][31][32][33]. However, the behavior of entanglement entropy, even for the same physical process, can vary significantly when different models are utilized.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, the AdS/CFT duality framework allows for the calculation of entanglement properties, such as the entanglement entropy and the entanglement of purification, through the concept of minimum surface area in the bulk space [23][24][25][26][27]. Holographic QCD [28][29][30][31][32][33][34] and holographic condensed matter theory [35,36] research has found that, as non-local observables, entanglement properties can also serve as effective order parameters for various phase transitions. These include transitions such as metal-insulator phase transitions [36][37][38], superconducting phase transitions [39][40][41][42], deconfinement phase transitions [43][44][45][46][47][48][49][50], and phase transitions related to quark-gluon matter [28,32].…”

Section: Introductionmentioning

confidence: 99%

“…These include transitions such as metal-insulator phase transitions [36][37][38], superconducting phase transitions [39][40][41][42], deconfinement phase transitions [43][44][45][46][47][48][49][50], and phase transitions related to quark-gluon matter [28,32]. Mutual information [51][52][53] and entanglement of purification [32,33] have also been utilized as order parameters in several studies characterizing phase transitions.…”

Section: Introductionmentioning

confidence: 99%

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The entanglement properties of holographic QCD model with a critical end point *

Huang

2021

Chinese Phys. C

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We investigated different entanglement properties of a holographic QCD (hQCD) model with a critical end point at the finite baryon density. Firstly, we considered the holographic entanglement entropy (HEE) of this hQCD model in a spherical shaped region and a strip shaped region. It was determined that the HEE of this hQCD model in both regions can reflect QCD phase transition. Moreover, although the area formulas and minimal area equations of the two regions were quite different, the HEE exhibited a similar behavior on the QCD phase diagram. Therefore, we assert that the behavior of the HEE on the QCD phase diagram is independent of the shape of the subregions. However, the HEE is not an ideal parameter for the characterization of the entanglement between different subregions of a thermal system. As such, we investigated the mutual information (MI), conditional mutual information (CMI), and the entanglement of purification (Ep) in different strip shaped regions. We determined that the three entanglement quantities exhibited some universal behavior; their values did not change significantly in the hadronic matter phase but increased rapidly with the increase in T and in the QGP phase. Near the phase boundary, these three entanglement quantities changed smoothly in the crossover region and continuously but not smoothly at CEP; they exhibited discontinuous behavior in the first phase transition region. These properties can be used to distinguish between the different phases of strongly coupled matter.

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Limitations of entanglement entropy in detecting thermal phase transitions

Jokela,

Ruotsalainen,

Subils

2024

J. High Energ. Phys.

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We explore the efficacy of entanglement entropy as a tool for detecting thermal phase transitions in a family of gauge theories described holographically. The rich phase diagram of these theories encompasses first and second-order phase transitions, as well as a critical and a triple point. While entanglement measures demonstrate some success in probing transitions between plasma phases, they prove inadequate when applied to phase transitions leading to gapped phases. Nonetheless, entanglement measures excel in accurately determining the critical exponent associated with the observed phase transitions, providing valuable insight into the critical behavior of these systems.

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Probing phase structure of strongly coupled matter with holographic entanglement measures

Cited by 7 publications

References 156 publications

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Entanglement wedge cross-section for noncommutative Yang-Mills theory

The entanglement properties of holographic QCD model with a critical end point *

Limitations of entanglement entropy in detecting thermal phase transitions

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