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Holographic local quench and effective complexity
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abstract
We study the evolution of holographic complexity of pure and mixed states in $1+1$-dimensional conformal field theory following a local quench using both the "complexity equals volume" (CV) and the "complexity equals action" (CA) conjectures. We compare the complexity evolution to the evolution of entanglement entropy and entanglement density, discuss the Lloyd computational bound and demonstrate its saturation in certain regimes. We argue that the conjectured holographic complexities exhibit some non-trivial features indicating that they capture important properties of what is expected to be effective (or physical) complexity.
Forward citations
Cited by 3 Pith papers
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Comments on holographic spread complexity
The momentum–spread-complexity relation requires generalized coherent states adapted to the spacetime symmetry algebra; semiclassical spreading alone cannot produce a momentum–complexity correspondence.
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From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
In holographic confining backgrounds, temporal peak statistics of boundary correlators after local quenches approach the Gaussian Symplectic Ensemble for heavy operators and, in capped BTZ, even for massless ones.
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On volume subregion complexity in Vaidya spacetime
In the AdS3 Vaidya geometry, the extremal volume defining holographic subregion complexity is genuinely x-dependent during the quench, so the standard x-independent ansatz fails at intermediate times; early and late t...
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