Local measurements and the entanglement transition in quantum spin chains
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908849511858176 |
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| author | Bachmann, Sven Rahnama, Mahsa Tournaire, Gabrielle |
| author_facet | Bachmann, Sven Rahnama, Mahsa Tournaire, Gabrielle |
| contents | We consider the transition between short-range entangled (SRE) and long-range ordered (and therefore long-range entangled) states of infinite quantum spin chains, which is induced by local measurements. Specifically, we assume that the initial state is in a non-trivial symmetry-protected topological phase with local symmetry group $\mathcal{G} = G \times H$, where $G$ is an Abelian subgroup. We show that the on-site measurements of the local $G$-charge on intervals of increasing lengths transform the initial SRE state into a family of states with increasingly long-range correlations. In particular, the post-measurement states cannot be uniformly short-range entangled. In the case where the initial state is obtained from a product state using a quantum cellular automaton, we construct the infinite-volume post-measurement state and exhibit almost local observables that are maximally correlated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05914 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local measurements and the entanglement transition in quantum spin chains Bachmann, Sven Rahnama, Mahsa Tournaire, Gabrielle Mathematical Physics Quantum Physics We consider the transition between short-range entangled (SRE) and long-range ordered (and therefore long-range entangled) states of infinite quantum spin chains, which is induced by local measurements. Specifically, we assume that the initial state is in a non-trivial symmetry-protected topological phase with local symmetry group $\mathcal{G} = G \times H$, where $G$ is an Abelian subgroup. We show that the on-site measurements of the local $G$-charge on intervals of increasing lengths transform the initial SRE state into a family of states with increasingly long-range correlations. In particular, the post-measurement states cannot be uniformly short-range entangled. In the case where the initial state is obtained from a product state using a quantum cellular automaton, we construct the infinite-volume post-measurement state and exhibit almost local observables that are maximally correlated. |
| title | Local measurements and the entanglement transition in quantum spin chains |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2602.05914 |