Entanglement content of kink excitations
arXiv:2409.03048 · doi:10.1007/JHEP02(2025)025
Abstract
Quantum one-dimensional systems in their ordered phase admit kinks as elementary excitations above their symmetry-broken vacua. While the scattering properties of the kinks resemble those of quasiparticles, they have distinct locality features that are manifest in their entanglement content. In this work, we study the entanglement entropy of kink excitations. We first present detailed calculations for specific states of a spin-1/2 chain to highlight the salient features of these excitations. Second, we provide a field-theoretic framework based on the algebraic relations between the twist fields and the semilocal fields associated with the excitations, and we compute the Rényi entropies in this framework. We obtain universal predictions for the entropy difference between the excited states with a finite number of kinks and the symmetry-broken ground states, which do not depend on the microscopic details of the model in the limit of large regions. Finally, we discuss some consequences of the Kramers-Wannier duality, which relates the ordered and disordered phases of the Ising model, and we explain why, counterintuitively, no explicit relations between those phases are found at the level of entanglement.
32 pages, 3 figures
References in corpus (23)
- Entanglement of low-energy excitations in Conformal Field Theory
- Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners
- Symmetry resolved entanglement in integrable field theories via form factor bootstrap
- Bi-partite entanglement entropy in massive two-dimensional quantum field theory
- Bound states and entanglement in the excited states of quantum spin chains
- Branch Point Twist Field Correlators in the Massive Free Boson Theory
- Bi-partite entanglement entropy in integrable models with backscattering
- Quantum Phase Transition induced by Topological Frustration
- Confinement and Kink Entanglement Asymmetry on a Quantum Ising Chain
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
- Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains
- Two-Point Functions of Composite Twist Fields in the Ising Field Theory
- Parametric resonance in neutrino oscillations induced by ultra-light dark matter and implications for KamLAND and JUNO
- Universal Rényi Entropy of Quasiparticle Excitations
- Long-range entanglement and topological excitations
- Entanglement spreading after local fermionic excitations in the XXZ chain
- Universality in the tripartite information after global quenches
- Celestial amplitude for 2d theory
- Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
- Space of initial conditions and universality in nonequilibrium quantum dynamics
- Entanglement entropy and non-local duality: quantum channels and quantum algebras
- Quantum quenches from an excited state
- Escaping fronts in local quenches of a confining spin chain