Holographic complexity: A tool to probe the property of reduced fidelity susceptibility

Gan, Wen-Cong; Shu, Fu-Wen

doi:10.1103/physrevd.96.026008

Cited by 25 publications

(31 citation statements)

References 67 publications

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“…where γ A is an area of the extremal surface and R is the radius of curvatures in the background. 3 The subregion complexity leads to a discontinuous jump at the transition, which is confirmed by computing the integration of the volume form [42] and using the Gauss-Bonnet theorem [39,45]. In the context of the tensor network, numerical results in the Ising model in a squared lattice reproduce an expected linear law behavior of the holographic subregion complexity.…”

Section: Introductionmentioning

confidence: 65%

Holographic subregion complexity of a (1+1)-dimensional $p$-wave superconductor

Fujita

2019

Progress of Theoretical and Experimental Physics

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We analyze the holographic subregion complexity in a 3d black hole with the vector hair. This 3d black hole is dual to a 1 + 1 dimensional p-wave superconductor. We probe the black hole by changing the size of the interval and by fixing q or T . We show that the universal part is finite across the superconductor phase transition and has competitive behaviors different from the finite part of entanglement entropy. The behavior of the subregion complexity depends on the gravitational coupling constant divided by the gauge coupling constant. When this ratio is less than the critical value, the subregion complexity increases as temperature becomes low. This behavior is similar to the one of the holographic 1 + 1 dimensional s-wave superconductor arXiv:1704.00557. When the ratio is larger than the critical value, the subregion complexity has a nonmonotonic behavior as a function of q or T . We also find a discontinuous jump of the subregion complexity as a function of the size of the interval. The subregion complexity has the maximum when it wraps the almost entire spatial circle. Due to competitive behaviors between normal and condensed phases, the universal term in the condensed phase becomes even smaller than that of the normal phase by probing the black hole horizon at a large interval. It implies that the formed condensate decreases the subregion complexity like the case of the entanglement entropy.

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Section: Introductionmentioning

confidence: 65%

Holographic subregion complexity of a (1+1)-dimensional $p$-wave superconductor

Fujita

2019

Progress of Theoretical and Experimental Physics

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“…Thus, the new scales may be detectable by holographic entanglement entropy and complexity, but the physical origins and deep insight from the field theory side deserve further study. We note that the complexity is deeply connected with fidelity susceptibility, which is known to be able to probe phase transition [51][52][53][54]. It would be very interesting to pursuit the deep physics of difference in the probes by studying the fidelity susceptibility in holographic superconducting models.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Holographic entanglement entropy and complexity in Stückelberg superconductor

2019

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The holographic superconductors, as one of the most important application of gauge/gravity duality, promote the study of strongly coupled superconductors via classical general relativity living in one higher dimension. One of the interesting properties in holographic superconductor is the appearance of first and second order phase transitions. Recently, another active studies in holographic framework is the holographic entanglement entropy and complexity evaluated from gravity side. In this note, we study the properties of the holographic entanglement entropy and complexity crossing both first and second order phase transitions in Stückelberg superconductor.We find that they behave differently in two types of phase transitions. We argue that holographic entanglement entropy and complexity conjectured with the volume can also be a possible probe to the type of superconducting phase transition.

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“…See the generalizations of the conjectures to CV 2.0 and CA2.0 in [17][18][19]. Others see [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Holographic subregion complexity in Einstein-Born-Infeld theory

2019

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We numerically investigate the evolution of the holographic subregion complexity during a quench process in Einstein-Born-Infeld theory. Based on the subregion CV conjecture, we argue that the subregion complexity can be treated as a probe to explore the interior of the black hole. The effects of the nonlinear parameter and the charge on the evolution of the holographic subregion complexity are also investigated. When the charge is sufficiently large, it not only changes the evolution pattern of the subregion complexity, but also washes out the second stage featured by linear growth.

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Holographic complexity: A tool to probe the property of reduced fidelity susceptibility

Cited by 25 publications

References 67 publications

Holographic subregion complexity of a (1+1)-dimensional $p$-wave superconductor

Holographic subregion complexity of a (1+1)-dimensional $p$-wave superconductor

Holographic entanglement entropy and complexity in Stückelberg superconductor

Holographic subregion complexity in Einstein-Born-Infeld theory

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