Holographic subregion complexity in Einstein-Born-Infeld theory

Ling, Yi; Liu, Yuxuan; Zhang, Cheng-Yong

doi:10.1140/epjc/s10052-019-6696-5

Cited by 24 publications

(18 citation statements)

References 156 publications

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“…We could note that when q is turned down, the multivaluedness of the HC disappears even for the larger width of the strip, (see right plot in Fig.11). This behavior has also been observed in [40].…”

Section: B Hee and Hc In The Neutral Massive Btz Black Holesupporting

confidence: 77%

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Evolutions of entanglement and complexity after a thermal quench in massive gravity theory

et al. 2019

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We study the evolution of the holographic entanglement entropy (HEE) and the holographic complexity (HC) after a thermal quench in 1 + 1 dimensional boundary CFTs dual to massive BTZ black holes. The study indicates how the graviton mass m g , the charge q, and also the size of the boundary region l determine the evolution of the HEE and HC. We find that for small q and l, the evolutions of the HEE and the HC is a continuous function. When q or l is tuned larger, the discontinuity emerges, which could not observed in the neutral AdS 3 backgrounds. We show that, the emergence of this discontinuity is a universal behavior in the charged massive BTZ theory. With the increase of graviton mass, on the other hand, no emergence of the discontinuity behavior for any small q and l could be observed. We also show that the evolution of the HEE and HC both become stable at later times, and m g speeds up reaching to the stability during the evolution of the system. Moreover, we show that m g decreases the final stable value of HEE but raises the stable value of HC. Additionally, contrary to the usual picture in the literature that the evolution of HC has only one peak, for big enough widths, we show that graviton mass could introduce two peaks during the evolution. However, for large enough charges the one peak behavior will be recovered again. We also examine the evolutions of HEE and HC growths at the early stage, which an almost linear behavior has been detected. * Electronic address: constaantine@163.com

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Section: B Hee and Hc In The Neutral Massive Btz Black Holesupporting

confidence: 77%

“…Therefore, the evolution of the HEE and HC has been explored in various dynamical backgrounds such as Vaidya-AdS spacetime [39] and in Einstein-Born-Infeld theory [40]. The authors of those works investigated the HEE and HC under a thermal quench in the related gravitational background.…”

Section: Introductionmentioning

confidence: 99%

Evolutions of entanglement and complexity after a thermal quench in massive gravity theory

et al. 2019

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“…During the evolution, the discontinuity of the derivative of HEE with respect to time is discussed mostly when the boundary region A is a strip and the width of the strip is greater than the event horizon. The difference is that when the boundary A is a strip, the discontinuity occurs due to the multiple values of the extremal surface [22,26,29,30], but when the boundary region A is an annulus, the discontinuity occurs due to the phase transition from the two-disk phase to the hemi-torus phase. Fig.…”

Section: Phase Transition Of the Hrt Surfacementioning

confidence: 99%

“…In literature, the evolution behavior of HEE during such a quench process has previously been studied in [22][23][24][25][26][27][28][29][30][31][32][33], for a subregion with the shape of strip and disk. For an annular subsystem A, the research on its thermalization process is still lacking.…”

Section: Introductionmentioning

confidence: 99%

Entanglement entropy of an annulus in holographic thermalization *

2020

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The thermalization process of the holographic entanglement entropy (HEE) of an annular domain is investigated over the Vaidya-AdS geometry. We numerically determine the Hubeny-Rangamani-Takayanagi (HRT) surface which may be a hemi-torus or two disks, depending on the ratio of the inner radius to the outer radius of the annulus. More importantly, for some fixed ratio of two radii, it undergoes a phase transition or double phase transitions from a hemi-torus configuration to a two-disk configuration, or vice versa, during the thermalization. The occurrence of various phase transitions is determined by the ratio of two radii of the annulus. The rate of entanglement growth is also investigated during the thermal quench. The local maximal rate of entanglement growth occurs in the region with double phase transitions. Finally, if the quench process is fairly slow which may be controlled by the thickness of null shell, the region with double phase transitions vanishes.

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“…where R is some length scale associated with the geometry. An intriguing topic is to investigate the evolution behavior of HSC during a holographic quench process, which may be described by the Vaidya-AdS spacetime [18,19]. During the quench process, a null shell collapses from the AdS boundary and finally forms an AdS black hole.…”

Section: Introductionmentioning

confidence: 99%

Holographic subregion complexity in general Vaidya geometry

Ling¹,

Liu²,

Niu³

et al. 2019

J. High Energ. Phys.

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We investigate general features of the evolution of holographic subregion complexity (HSC) on Vaidya-AdS metric with a general form. The spacetime is dual to a sudden quench process in quantum system and HSC is a measure of the "difference" between two mixed states. Based on the subregion CV (Complexity equals Volume) conjecture and in the large size limit, we extract out three distinct stages during the evolution of HSC: the stage of linear growth at the early time, the stage of linear growth with a slightly small rate during the intermediate time and the stage of linear decrease at the late time. The growth rates of the first two stages are compared with the Lloyd bound. We find that with some choices of certain parameter, the Lloyd bound is always saturated at the early time, while at the intermediate stage, the growth rate is always less than the Lloyd bound. Moreover, the fact that the behavior of CV conjecture and its version of the subregion in Vaidya spacetime implies that they are different even in the large size limit. * lingy@ihep.ac.cn

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Holographic subregion complexity in Einstein-Born-Infeld theory

Cited by 24 publications

References 156 publications

Evolutions of entanglement and complexity after a thermal quench in massive gravity theory

Evolutions of entanglement and complexity after a thermal quench in massive gravity theory

Entanglement entropy of an annulus in holographic thermalization *

Holographic subregion complexity in general Vaidya geometry

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