Complexity of Scalar Collapse in Anti-de Sitter Spacetime
arXiv:2110.09630 · doi:10.1007/JHEP12(2021)135
Abstract
We calculate the volume and action forms of holographic complexity for the gravitational collapse of scalar field matter in asymptotically anti-de Sitter spacetime, using numerical methods to reproduce the geometry responding to the oscillating field over multiple crossing times. Like the scalar field pulse, the volume complexity oscillates quasiperiodically before horizon formation. It also shows a scaling symmetry with the amplitude of the scalar field. The action complexity is also quasiperiodic with spikes of increasing amplitude.
arXiv comment19pp; v2. added references, short discussion of Lloyd's bound for CV; v3. added discussion w/2 figs on complexity-momentum correspondence, minor clarifications; v4. typo corrections including to eqn (4.3), matches published version in content
References in corpus (38)
- Complexity Equals Action
- Complexity and Shock Wave Geometries
- Complexity, action, and black holes
- Quantum Computation as Geometry
- On weakly turbulent instability of anti-de Sitter space
- Circuit complexity in quantum field theory
- Gravitational action with null boundaries
- Circuit Complexity in Fermionic Field Theory
- Circuit complexity for free fermions
- Boson Stars in AdS
- Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam-Tsingou paradox
- Renormalization group, secular term resummation and AdS (in)stability
- Renormalization, averaging, conservation laws and AdS (in)stability
- Holographic Complexity in Vaidya Spacetimes I
- Rapid Thermalization in Field Theory from Gravitational Collapse
- Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
- Holographic Complexity Equals Which Action?
- The First Law of Complexity
- A comment on AdS collapse of a scalar field in higher dimensions
- Evolution of Complexity Following a Global Quench
- On Field Theory Thermalization from Gravitational Collapse
- Complexity change under conformal transformations in AdS/CFT
- Holographic Complexity and Volume
- Conserved quantities and dual turbulent cascades in Anti-de Sitter spacetime
- Stability of AdS in Einstein Gauss Bonnet Gravity
- Holographic local quench and effective complexity
- Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime
- WdW-patches in AdS and complexity change under conformal transformations II
- Comment on "Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam-Tsingou paradox" by V. Balasubramanian et al
- Reply to "Comment on two-mode stability islands around AdS"
- Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
- Floquet Scalar Dynamics in Global AdS
- Proof of a Momentum/Complexity Correspondence
- Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
- Adiabatic pumping solutions in global AdS
- Complexity and uncomplexity during energy injection
- Examining Instabilities Due to Driven Scalars in AdS
- Phase Diagram of Stability for Massive Scalars in Anti-de Sitter Spacetime