Entanglement of magnon excitations in spin chains

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.

published version 46 pages 9 Figures

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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 $\hslash \to 0$ 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