Pseudo entropy under joining local quenches
arXiv:2310.12542 · doi:10.1007/JHEP02(2024)111
Abstract
We compute the pseudo entropy in two-dimensional holographic and free Dirac fermion CFTs for excited states under joining local quenches. Our analysis reveals two of its characteristic properties that are missing in the conventional entanglement entropy. One is that, under time evolution, the pseudo entropy exhibits a dip behavior as the excitations propagate from the joined point to the boundaries of the subsystem. The other is that the excess of pseudo entropy over entanglement entropy can be positive in holographic CFTs, whereas it is always non-positive in free Dirac fermion CFTs. We argue that the entropy excess can serve as a measure of multi-partite entanglement. Its positivity implies that the vacuum state in holographic CFTs possesses multi-partite entanglement, in contrast to free Dirac fermion CFTs.
arXiv comment53 pages, 29 figures
References in corpus (60)
- Gauge Theory Correlators from Non-Critical String Theory
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Aspects of Holographic Entanglement Entropy
- Entropy and Area
- A Covariant Holographic Entanglement Entropy Proposal
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- Evolution of Entanglement Entropy in One-Dimensional Systems
- The dS/CFT Correspondence
- Generalized gravitational entropy
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Entanglement entropy in free quantum field theory
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Holographic Dual of BCFT
- Holographic duality from random tensor networks
- Aspects of AdS/BCFT
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Relative Entropy and Holography
- Holographic Mutual Information is Monogamous
- Thermodynamical Property of Entanglement Entropy for Excited States
- Holographic Local Quenches and Entanglement Density
- Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
- On entanglement spreading in chaotic systems
- Quantum Entanglement of Local Operators in Conformal Field Theories
- Entanglement Scrambling in 2d Conformal Field Theory
- Quantum Dimension as Entanglement Entropy in 2D CFTs
- Holographic Pseudo Entropy
- Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy
- Timelike entanglement entropy
- Spread of entanglement and causality
- Mutual information after a local quench in conformal field theory
- Entanglement of Local Operators in large N CFTs
- de Sitter space, extremal surfaces and "time-entanglement"
- Notes on Quantum Entanglement of Local Operators
- Holographic Quantum Circuits from Splitting/Joining Local Quenches
- Pseudo Entropy in Free Quantum Field Theories
- Holography in de Sitter Space via Chern-Simons Gauge Theory
- Aspects of Pseudo Entropy in Field Theories
- CFT duals of three-dimensional de Sitter gravity
- Entanglement Tsunami in (1+1)-Dimensions
- On holographic time-like entanglement entropy
- Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
- AdS/BCFT with Brane-Localized Scalar Field
- Spread of entanglement for small subsystems in holographic CFTs
- Topological pseudo entropy
- Time-like Entanglement Entropy in AdS/BCFT
- On the Page curve under final state projection
- Linear response of entanglement entropy from holography
- Multipartitioning topological phases by vertex states and quantum entanglement
- Constructible reality condition of pseudo entropy via pseudo-Hermiticity
- SVD Entanglement Entropy
- Holographic BCFT with a Defect on the End-of-the-World Brane
- Zoo of holographic moving mirrors
- On the real-time evolution of pseudo-entropy in 2d CFTs
- Pseudo complexity of purification for free scalar field theories
- Entanglement Entropy after Double-Excitation as Interaction Measure
- Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
- Entanglement distillation toward minimal bond cut surface in tensor networks
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- Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point
- Pseudo entropy and pseudo-Hermiticity in quantum field theories
- Musings on SVD and pseudo entanglement entropies