Entanglement content of kink excitations
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)025 |
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| author | Luca Capizzi Michele Mazzoni |
| author_facet | Luca Capizzi Michele Mazzoni |
| author_sort | Luca Capizzi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-721891ebcb974498917bf8129c301a37 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-721891ebcb974498917bf8129c301a372025-02-09T12:08:46ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025213610.1007/JHEP02(2025)025Entanglement content of kink excitationsLuca Capizzi0Michele Mazzoni1Université Paris-Saclay, CNRS, LPTMSDepartment of Mathematics, City, University of LondonAbstract 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.https://doi.org/10.1007/JHEP02(2025)025Integrable Field TheoriesLattice Integrable Models |
| spellingShingle | Luca Capizzi Michele Mazzoni Entanglement content of kink excitations Journal of High Energy Physics Integrable Field Theories Lattice Integrable Models |
| title | Entanglement content of kink excitations |
| title_full | Entanglement content of kink excitations |
| title_fullStr | Entanglement content of kink excitations |
| title_full_unstemmed | Entanglement content of kink excitations |
| title_short | Entanglement content of kink excitations |
| title_sort | entanglement content of kink excitations |
| topic | Integrable Field Theories Lattice Integrable Models |
| url | https://doi.org/10.1007/JHEP02(2025)025 |
| work_keys_str_mv | AT lucacapizzi entanglementcontentofkinkexcitations AT michelemazzoni entanglementcontentofkinkexcitations |