The mixed-state entanglement in holographic p-wave superconductor model

Yang, Zhe; Fang-Jing, Cheng,; Niu, Chao; Zhang, Cheng-Yong; Liu, Peng

doi:10.1007/jhep04(2023)110

Cited by 4 publications

(1 citation statement)

References 72 publications

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“…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]. 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%

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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Section: Introductionmentioning

confidence: 99%

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

Huang

2021

Chinese Phys. C

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Page curves in holographic superconductors

Xu,

Wang,

Pan

2024

Phys. Rev. D

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Considering a doubly holographic model, we study the black hole information paradox for the eternal AdSd-RN black hole coupled to and in equilibrium with a d-dimensional conformal bath whose state has been deformed by the charged scalar field coupled to a U(1) gauge field. Without a brane, the spontaneous symmetry breaking of the gauge field on boundary systems can induce a second-order phase transition of the charged scalar field at the critical temperature, known as holographic superconductors. The bath deformation can significantly change its entanglement dynamics with the black hole, resulting in variations in the Page curve and Page time. Our results indicate that characteristic parameters of the Page curve, such as entanglement velocity, initial area difference and Page time, can be used as suitable probes to detect superconducting phase transitions. In particular, the entanglement velocity can also probe both Kasner flows and Josephson oscillations. When keeping the endpoint of the radiation region fixed at twice the critical Page point, the entanglement velocity (the internal backreaction) has a more significant influence on the Page time compared to the initial area difference (the external backreaction). Published by the American Physical Society 2024

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Holographic entanglement properties in the QCD phase diagram from Einstein-Maxwell-dilaton models

2024

Phys. Rev. D

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In this study, we investigate the behavior of entanglement properties in the QCD phase diagram using holographic Einstein-Maxwell-dilaton models. We consider two representative holographic QCD models and examine various entanglement measures, including entanglement entropy, conditional mutual information, and the entanglement of purification. We find that the entanglement entropy obtained using the direct UV-cutoff renormalization method shows significant dependence on the specific model being used. However, the outcomes of other nondivergent entanglement measures, such as cutoff-independent entanglement entropy, conditional mutual information, and the entanglement of purification, exhibit congruence in our calculations. When we focus specifically on the temperature range below 300 MeV, we observe a similar behavior among the three entanglement measures. This may suggest that within this temperature range, the entanglement of QCD matter decreases with increasing temperature. Additionally, we observe distinct phase transition behaviors of entanglement properties at the critical end point and first-order phase transitions. This observation highlights the potential of entanglement properties as effective order parameters for QCD matter phase transitions. Published by the American Physical Society 2024

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The mixed-state entanglement in holographic p-wave superconductor model

Cited by 4 publications

References 72 publications

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

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

Page curves in holographic superconductors

Holographic entanglement properties in the QCD phase diagram from Einstein-Maxwell-dilaton models

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