Geometric Rényi mutual information induced by localized particle excitations in quantum field theory
arXiv:2511.19729 · doi:10.1103/fbz4-rr46
Abstract
Quantum field theory exhibits rich spatial correlation structures even in the vacuum, where entanglement entropy between regions scales with the area of their shared boundary. While this vacuum structure has been extensively studied, far less is understood about how localized wave packets influence correlations between field values in different spatial regions. In this work, we use the Schrödinger representation to study the Rényi mutual information between complementary spatial regions for a localized wave packet of a free massless scalar field in dimensions. We find that the mutual information in this excited state includes both a vacuum term and an excitation-induced contribution. To obtain quantitative results, we specialize to dimensions and evaluate the Rényi-2 mutual information between the negative and positive halves of the real line. We find that the excitation generates finite, positive correlations that are maximized when the wave packet sits at the boundary and decrease with its distance from it, at a rate determined by the wave packet's width.Our findings constitute a contribution toward a more comprehensive understanding of quantum correlations in multiparticle states with nontrivial spatial localization, analyzed within a quantum field-theoretical framework.
arXiv commentRevised version. Published in Physical Review D
References in corpus (35)
- Entanglement Entropy and Quantum Field Theory
- An extension problem related to the fractional Laplacian
- Entropy and Area
- Geometric and Renormalized Entropy in Conformal Field Theory
- Area laws in quantum systems: mutual information and correlations
- Entanglement entropy in free quantum field theory
- On the quantum, classical and total amount of correlations in a quantum state
- Relative Entropy and Holography
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Entanglement entropy: holography and renormalization group
- Entanglement Temperature and Entanglement Entropy of Excited States
- Entanglement of low-energy excitations in Conformal Field Theory
- Shannon and entanglement entropies of one- and two-dimensional critical wave functions
- Momentum-space entanglement and renormalization in quantum field theory
- Some observations on the Green function for the ball in the fractional Laplace framework
- Phase transition in the Rényi-Shannon entropy of Luttinger liquids
- Logarithmic terms in entanglement entropies of 2D quantum critical points and Shannon entropies of spin chains
- Universal behavior of the Shannon mutual information of critical quantum chains
- Experimental verification of the area law of mutual information in a quantum field simulator
- Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
- Bi-partite entanglement entropy in integrable models with backscattering
- Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
- Entanglement Content of Quantum Particle Excitations I. Free Field Theory
- Renyi Entropy and Geometry
- Generalized mutual informations of quantum critical chains
- Minimal Position-Velocity Uncertainty Wave Packets in Relativistic and Non-relativistic Quantum Mechanics
- Quantum entanglement entropy and classical mutual information in long-range harmonic oscillators
- Momentum-space entanglement for interacting fermions at finite density
- Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
- Quantum read-out for cold atomic quantum simulators
- Computable Rényi mutual information: Area laws and correlations
- Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory -- I. Single-particle states
- Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
- Momentum Space Entanglement from the Wilsonian Effective Action
- Geometry of the Shannon mutual information in continuum QFT