Entanglement transition in a cluster spin chain coupled with free spins
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916912566370304 |
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| author | Sellapillay, Kevissen Raymond, Laurent Verga, Alberto D. |
| author_facet | Sellapillay, Kevissen Raymond, Laurent Verga, Alberto D. |
| contents | We investigate the entanglement of a ladder of spins formed by two sublattices, a ''cluster'' chain and the ''environment'', consisting of independent spins, both coupled by an exchange interaction and evolving under a unitary discrete time dynamics. The automaton is defined by the composition of the two body spin swap gate (between sublattices) and the three body cluster interaction. We observe that, depending on the set of coupling constants, the cluster subsystem evolves towards states corresponding to different entanglement phases. In the weak coupling regime the subsystem remains near the topological cluster state. Increasing the coupling strength leads to random states which transform from almost pure to fully mixed, according to the effective number of the environment active degrees of freedom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05937 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement transition in a cluster spin chain coupled with free spins Sellapillay, Kevissen Raymond, Laurent Verga, Alberto D. Quantum Physics Other Condensed Matter We investigate the entanglement of a ladder of spins formed by two sublattices, a ''cluster'' chain and the ''environment'', consisting of independent spins, both coupled by an exchange interaction and evolving under a unitary discrete time dynamics. The automaton is defined by the composition of the two body spin swap gate (between sublattices) and the three body cluster interaction. We observe that, depending on the set of coupling constants, the cluster subsystem evolves towards states corresponding to different entanglement phases. In the weak coupling regime the subsystem remains near the topological cluster state. Increasing the coupling strength leads to random states which transform from almost pure to fully mixed, according to the effective number of the environment active degrees of freedom. |
| title | Entanglement transition in a cluster spin chain coupled with free spins |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2501.05937 |