Holographic subregion complexity under a thermal quench
arXiv:1803.06680 · doi:10.1007/JHEP07(2018)034
Abstract
We study the evolution of holographic subregion complexity under a thermal quench in this paper. From the subregion CV proposal in the AdS/CFT correspondence, the subregion complexity in the CFT is holographically captured by the volume of the codimension-one surface enclosed by the codimension-two extremal entanglement surface and the boundary subregion. Under a thermal quench, the dual gravitational configuration is described by a Vaidya-AdS spacetime. In this case we find that the holographic subregion complexity always increases at early time, and after reaching a maximum it decreases and gets to saturation. Moreover we notice that when the size of the strip is large enough and the quench is fast enough, in spacetime the evolution of the complexity is discontinuous and there is a sudden drop due to the transition of the extremal entanglement surface. We discuss the effects of the quench speed, the strip size, the black hole mass and the spacetime dimension on the evolution of the subregion complexity in detail numerically.
arXiv comment26 pages, 13 figures, published version. Minor corrections
References in corpus (42)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Cool horizons for entangled black holes
- Entanglement renormalization
- Ultimate physical limits to computation
- Complexity Equals Action
- Complexity and Shock Wave Geometries
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Quantum Computation as Geometry
- The Gravity Dual of a Density Matrix
- Causality & holographic entanglement entropy
- Circuit complexity in quantum field theory
- Towards Complexity for Quantum Field Theory States
- Tensor Network Renormalization
- Comments on Holographic Complexity
- Holographic Evolution of Entanglement Entropy
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- Deriving covariant holographic entanglement
- On the Time Dependence of Holographic Complexity
- Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
- Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
- Complexity Growth for AdS Black Holes
- Surface/State Correspondence as a Generalized Holography
- Gravity Dual of Quantum Information Metric
- Hamiltonian complexity
- Holographic entanglement plateaux
- Quantum Hamiltonian Complexity
- Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
- Einstein's Equations from Varying Complexity
- On Volumes of Subregions in Holography and Complexity
- Tensor network renormalization yields the multi-scale entanglement renormalization ansatz
- Holographic Complexity in Vaidya Spacetimes I
- Holographic Complexity And Cosmological Singularities
- Evolution of Complexity Following a Global Quench
- Evolution of complexity following a quantum quench in free field theory
- Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
- Holographic Subregion Complexity for Singular Surfaces
- On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities
- Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
- Corrections to holographic entanglement plateau
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- Time Evolution of Complexity: A Critique of Three Methods
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- Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
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- Holographic entanglement of purification for thermofield double states and thermal quench
- Circuit Complexity for Fermionic Thermofield Double states
- Complexity in the presence of a boundary
- Quantum complexity in gravity, quantum field theory, and quantum information science
- Partial islands and subregion complexity in geometric secret-sharing model
- Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
- Time evolution of the complexity in chaotic systems: concrete examples
- More on complexity of operators in quantum field theory
- Thoughts on Holographic Complexity and its Basis-dependence
- Holographic Complexity Growth Rate in Horndeski Theory
- Complexity growth rate during phase transitions
- Mixed State Entanglement for Holographic Axion Model
- Holographic Subregion Complexity in Einstein-Born-Infeld theory
- On volume subregion complexity in Vaidya spacetime
- Investigating two counting methods of the holographic complexity
- Modified "complexity equals action" conjecture
- Subsystem complexity after a global quantum quench
- On subregion action complexity in AdS and in the BTZ black hole
- Evolutions of entanglement and complexity after a thermal quench in massive gravity theory
- Volume complexity for Janus geometries
- Holographic complexity of local quench at finite temperature
- Holographic subregion complexity under thermal quench in Einstein-Maxwell-Axions theory with momentum relaxation
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- Action complexity in the presence of defects and boundaries
- Holographic complexity of charged Taub-NUT-AdS black holes
- Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
- Holographic Subregion Complexity in General Vaidya Geometry
- The Holographic Dual of the Entanglement Wedge Symplectic Form
- Holographic complexity of the electromagnetic black hole
- Holographic complexity of Born-Infeld black holes
- Subregion complexity in holographic thermalization with dS boundary
- Circuit Complexity in
- Non-Conformality, Subregion Complexity and Meson Binding
- A note on holographic subregion complexity and QCD phase transition
- Subsystem complexity after a local quantum quench
- Complexity and uncomplexity during energy injection
- Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
- Mixed-state Entanglement for AdS Born-Infeld Theory
- Holographic Complexity in a Charged Supersymmetric Black Holes
- Entanglement Entropy of Annulus in Holographic Thermalization
- A falling magnetic monopole as a holographic local quench
- Weighting gates in circuit complexity and holography
- New Topological Gauss-Bonnet Black Holes in Five Dimensions
- Renormalized Holographic Subregion Complexity under Relevant Perturbations
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- Switchback effect of holographic complexity in multiple-horizon black holes