Entanglement of magnon excitations in spin chains
arXiv:2109.12826 · doi:10.1007/JHEP02(2022)072
Abstract
We calculate exactly the entanglement content of magnon excited states in the integrable spin-1/2 XXX and XXZ chains in the scaling limit. In particular, we show that as far as the number of excited magnons with respect to the size of the system is small one can decompose the entanglement content, in the scaling limit, to the sum of the entanglement of particular excited states of free fermionic or bosonic theories. In addition we conjecture that the entanglement content of the generic translational invariant free fermionic and bosonic Hamiltonians can be also classified, in the scaling limit, with respect to the entanglement content of the fermionic and bosonic chains with the number operator as the Hamiltonian in certain circumstances. Our results effectively classify the entanglement content of wide range of integrable spin chains in the scaling limit.
arXiv commentpublished version 46 pages 9 Figures
References in corpus (63)
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Entropy and Area
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- Calculation of reduced density matrices from correlation functions
- On Geometric Entropy
- Quantum entanglement in condensed matter systems
- Reduced density matrices and entanglement entropy in free lattice models
- Entanglement entropy in free quantum field theory
- Notes on Some Entanglement Properties of Quantum Field Theory
- Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
- Universality of Entropy Scaling in 1D Gap-less Models
- Entropy, entanglement, and area: analytical results for harmonic lattice systems
- Entanglement and alpha entropies for a massive Dirac field in two dimensions
- Density-Matrix Spectra of Solvable Fermionic Systems
- Does a single eigenstate encode the full Hamiltonian?
- An entanglement-area law for general bosonic harmonic lattice systems
- Entanglement of low-energy excitations in Conformal Field Theory
- Entanglement in solvable many-particle models
- Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
- Entanglement entropy of excited states
- The microscopic origin of thermodynamic entropy in isolated systems
- Entanglement and matrix elements of observables in interacting integrable systems
- Entanglement and alpha entropies for a massive scalar field in two dimensions
- Entanglement Entropy of Eigenstates of Quadratic Fermionic Hamiltonians
- Density-matrix spectra for integrable models
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- Volume Law and Quantum Criticality in the Entanglement Entropy of Excited Eigenstates of the Quantum Ising Model
- Weak and strong typicality in quantum systems
- On Density-Matrix Spectra for Two-Dimensional Quantum Systems
- Symmetry resolved entanglement entropy of excited states in a CFT
- Eigenstate Entanglement Entropy in Random Quadratic Hamiltonians
- Density Matrices for a Chain of Oscillators
- Universal eigenstate entanglement of chaotic local Hamiltonians
- Entanglement Content of Quasi-Particle Excitations
- Entanglement in ground and excited states of gapped fermion systems and their relationship with fermi surface and thermodynamic equilibrium properties
- Entanglement Entropies in Conformal Systems with Boundaries
- Bound states and entanglement in the excited states of quantum spin chains
- Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles
- Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions
- Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
- Bipartite entanglement entropy of the excited states of the free fermions and the harmonic oscillators
- Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
- Entanglement Content of Quantum Particle Excitations I. Free Field Theory
- Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
- Renyi entanglement entropies of descendant states in critical systems with boundaries: conformal field theory and spin chains
- Position momentum Duality in the Entanglement Spectrum of Free Fermions
- Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
- Two particle excited states entanglement entropy in a one-dimensional ring
- Entanglement Entropies of the quarter filled Hubbard model
- Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains
- Universal Rényi Entropy of Quasiparticle Excitations
- Universality in entanglement of quasiparticle excitations
- Visualizing Quasiparticles from Quantum Entanglement for general 1D phases
- Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory -- I. Single-particle states
- New exact results on density matrix for XXX spin chain
- A duality principle for the multi-block entanglement entropy of free fermion systems
- Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
- Entanglement Entropy of Excited States in the Quantum Lifshitz Model
- Observing Quasiparticles through the Entanglement Lens
- Entanglement spreading after local and extended excitations in a free-fermion chain
Cited by in corpus (8)
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
- Generalized entanglement entropies in two-dimensional conformal field theory
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
- Tight-binding billiards
- The Limit of the Entanglement Entropy
- Subsystem distances between quasiparticle excited states
- Trace distance between fermionic Gaussian states from a truncation method
- On symmetry-resolved generalized entropies