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2007
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Similar

L. Susskind, “Computational Complexity and Black Hole Horizons,” Fortsch. Phys. 64
Original
2016
Cited alongside, same era.
A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, “Holographic Complexity Equals Bulk Action?,” Phys. Rev. Lett. 116
Original
2016
Cited alongside, same era.
A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, “Complexity, action, and black holes,” Phys. Rev. D 93
Original
2016
Cited alongside, same era.
D. S. Ageev, I. Y. Aref’eva and M. D. Tikhanovskaya, “(1+1)-Correlators and moving massive defects,” Theor. Math. Phys. 188
Original
2016
Cited alongside, same era.
D. S. Ageev and I. Y. Aref’eva, “Holographic instant conformal symmetry breaking by colliding conical defects,” Theor. Math. Phys. 189

Then

J. R. David, S. Khetrapal and S. P. Kumar, “Local quenches and quantum chaos from higher spin perturbations,” JHEP 1710
Original
2017
Later among the works it cites.
D. S. Ageev, I. Y. Aref’eva, A. A. Bagrov and M. I. Katsnelson, “Holographic local quench and effective complexity,” JHEP 1808
Original
2018
Later among the works it cites.
D. Ageev, “Holography, quantum complexity and quantum chaos in different models,” EPJ Web Conf. 191
2018
Later among the works it cites.
S. Chapman, H. Marrochio and R. C. Myers, “Holographic complexity in Vaidya spacetimes. Part I,” JHEP 1806
Original
2018
Later among the works it cites.
S. Chapman, H. Marrochio and R. C. Myers, “Holographic complexity in Vaidya spacetimes. Part II,” JHEP 1806
Original

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2019

Holographic complexity of local quench at finite temperature

Ageev, Dmitry S.

Understand

This paper is devoted to the study of the evolution of holographic complexity after a local perturbation of the system at finite temperature.

We calculate the complexity using both the complexity=action(CA) and the complexity=volume(CA) conjectures and find that the CV complexity of the total state shows the unbounded late time linear growth.
The CA computation shows linear growth with fast saturation to a constant value.
We estimate the CV and CA complexity linear growth coefficients and show, that finite temperature leads to violation of the Lloyd bound for CA complexity.