Complexity growth rate during phase transitions

Ghodrati, Mahdis

doi:10.1103/physrevd.98.106011

Cited by 27 publications

(18 citation statements)

References 129 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the AdS/CFT correspondence, there are two popular proposals for complexity, usually dubbed by "Complexity=Volume" (CV) duality [7,8] and "Complex-ity=Action" (CA) duality [9,10]. The two conjectures have been extensively studied in literature [11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46]. However, there are some drawbacks for the two proposals as well.…”

Section: Introductionmentioning

confidence: 99%

Time dependence of complexity for Lovelock black holes

Fan

Liang

2019

Phys. Rev. D

View full text Add to dashboard Cite

We study the general time dependence of complexity for holographic states dual to Lovelock black holes using the "Complexity=Action" (CA) proposal. We observe that at early times, the critical time at which the complexity begins to increase is a decreasing function of the higher order coupling constants, which implies that the complexity evolves faster than that of Schwarzschild black holes. At late times, the rate of change of complexity is essentially determined by the generalised Gibbons-Hawking-York boundary term evaluated at the future singularity. In particular, its ratio to black hole mass is a characteristic constant, independent of the higher order couplings. Thus, in the vanishing coupling limit, the result in general does not reduce to that of Schwarzschild black holes, in spite of that the metric reduces to the latter as well as the gravitational action. In fact, the two differ by a constant during the whole time evolution. Including the next-to-leading order term around late times, we find that as the Einstein case, the late time limit is always approached from above, thus violating any conjectured upper bound given by the late time result. For charged Lovelock black holes, we find that with sufficient charge, the complexity roughly behaves the same as the Einstein case. However, for smaller charges, the two have some significant differences. In particular, unlike the Einstein case, in the uncharged limit the complexity growth rate does not match with the neutral case, differing by a constant in the whole time evolution.

show abstract

Section: Introductionmentioning

confidence: 99%

Time dependence of complexity for Lovelock black holes

Fan

Liang

2019

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Along the way, we use many known results for the partition function, properties of the dual holographic gravitational theories such as chiral Liouville action, the proposed actions for WCFTs such as those found in [22], the anomaly behaviors, and the structure of entanglement entropy and holographic complexity of warped CFTs derived in previous works [24,37]. It worths to mention here that in fact there are various examples in real world for these field theories, such as the continuum limit of large N chiral Potts model [31,38] which is a spin model on a planar lattice.…”

Section: Wads 3 /Wcftmentioning

confidence: 99%

“…In the NMG action, the mass of graviton plays the essential role which affects various quantum information quantities of the model, such as entanglement and its evolutions during quench processes, entanglement and complexity of purification, etc, which were studied in more details in [24,37,62,63].…”

Section: Deriving Chiral Liouville Action From Warped Adsmentioning

confidence: 99%

Complexity and emergence of warped AdS3 space-time from chiral Liouville action

Ghodrati

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The main point is that, by just increasing the charge q, the swallow tail of the HEE and the multi-valuedness of the HC emerge, and this behavior is universal, see [53,54] and the references therein.…”

Section: Hee and Hc In Massive Charged Btz Black Holementioning

confidence: 99%

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

et al. 2019

Self Cite

View full text Add to dashboard Cite

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

show abstract

Complexity growth rate during phase transitions

Cited by 27 publications

References 129 publications

Time dependence of complexity for Lovelock black holes

Time dependence of complexity for Lovelock black holes

Complexity and emergence of warped AdS3 space-time from chiral Liouville action

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

Contact Info

Product

Resources

About