Action Complexity for Semi-Classical Black Holes

Abstract

We adapt the complexity as action prescription (CA) to a semi-classical model of two-dimensional dilaton gravity and determine the rate of increase of holographic complexity for an evaporating black hole. The results are consistent with our previous numerical results for semi-classical black hole complexity using a volume prescription (CV) in the same model, but the CA calculation is fully analytic and provides a non-trivial positive test for the holographic representation of the black hole interior.

arXiv comment21 pages of main text, 2 pages appendix, 12 figures

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Cited by in corpus (5)

• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Pure de Sitter space and the island moving back in time
• Holographic Complexity of Quantum Black Holes
• Krylov Complexity of Open Quantum Systems: From Hard Spheres to Black Holes
• The landscape of complexity measures in 2D gravity