Holographic Complexity And Cosmological Singularities

Abstract

We study the evolution of holographic complexity in various AdS/CFT models containing cosmological crunch singularities. We find that a notion of complexity measured by extremal bulk volumes tends to decrease as the singularity is approached in CFT time, suggesting that the corresponding quantum states have simpler entanglement structure at the singularity.

Significant rewriting for pedagogical reasons. Figures and references added. Same results. Version published in JHEP. 23 pages, 8 figures

References in corpus (18)

• Complexity Equals Action
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• Complexity and Shock Wave Geometries
• Holographic Complexity
• Gravity Dual of Quantum Information Metric
• Switchbacks and the Bridge to Nowhere
• Time Dependent Cosmologies and Their Duals
• The Typical-State Paradox: Diagnosing Horizons with Complexity
• Holographic models of de Sitter QFTs
• AdS Crunches, CFT Falls And Cosmological Complementarity
• Holographic Signatures of Cosmological Singularities
• Vacuum decay into Anti de Sitter space
• Gauge Theories with Time Dependent Couplings and their Cosmological Duals
• Constructing holographic spacetimes using entanglement renormalization
• Insightful D-branes
• Crunches, Hats, and a Conjecture
• On Bubbles of Nothing in AdS/CFT
• Further Holographic Investigations of Big Bang Singularities

Cited by in corpus (63)

• Complexity, action, and black holes
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• Complexity Growth for AdS Black Holes
• Circuit complexity in interacting QFTs and RG flows
• On Volumes of Subregions in Holography and Complexity
• Time Evolution of Complexity: A Critique of Three Methods
• Divergences in Holographic Complexity
• Holographic Spacetimes as Quantum Circuits of Path-Integrations
• Complexity in de Sitter Space
• Cosmological Complexity
• Holographic subregion complexity under a thermal quench
• Action growth of charged black holes with a single horizon
• Complexity Growth in Integrable and Chaotic Models
• Complexity growth rates for AdS black holes in massive gravity and $f(R)$ gravity
• Complexity of the AdS Soliton
• Holographic Complexity in Gauge/String Superconductors
• Holographic flows from CFT to the Kasner universe
• Holographic Complexity and de Sitter Space
• Aspects of The First Law of Complexity
• Holographic complexity and action growth in massive gravities
• On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Bath deformations, islands and holographic complexity
• Complexity and action for warped AdS black holes
• Complexity in the presence of a boundary
• Spread complexity as classical dilaton solutions
• On the Noether charge and the gravity duals of quantum complexity
• Complexity of mixed Gaussian states from Fisher information geometry
• On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities
• Complexity=Anything: Singularity Probes
• Nonanalyticity of circuit complexity across topological phase transitions
• Volume and complexity for warped AdS black holes
• Holographic complexity: A tool to probe the property of reduced fidelity susceptibility
• Complexity growth of rotating black holes with a probe string
• Subsystem complexity after a global quantum quench
• On subregion action complexity in AdS${}_3$ and in the BTZ black hole
• A Generalized Momentum/Complexity Correspondence
• On the time dependence of holographic complexity for charged AdS black holes with scalar hair
• Terminal Holographic Complexity
• Subsystem complexity in warped AdS
• Cosmologies, singularities and quantum extremal surfaces
• Path Integral Complexity and Kasner singularities
• Complexity Growth in Flat Spacetimes
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Decoherence and Microscopic Diffusion at SYK
• Circuit Complexity in ${\mathcal{Z}}_2$ $\mathcal{EEF}\mathcal{T}$
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• Holographic entanglement entropy for charged accelerating AdS black holes
• Subsystem complexity after a local quantum quench
• Quantum complexity and bulk timelike singularities
• Complexity growth for topological black holes by holographic method
• Weighting gates in circuit complexity and holography
• Causality Constraint on Circuit Complexity from $COSMOEFT$
• The Complexity of Being Entangled
• On Complexity of Holographic Flavors
• Holographic Bulk Reconstruction And Cosmological Singularities
• Time-Dependent AdS Backgrounds from S-Branes
• Holographic and QFT Complexity with angular momentum
• Following the density perturbations through a bounce with AdS/CFT Correspondence
• Geometry of quantum complexity
• D5-brane on topological black holes
• Probe strings on AdS accelerating black holes
• Developments in non-relativistic field theory and complexity