dorsal/arxiv
View SchemaEntanglement Across a Transition to Quantum Chaos
| Authors | Carlos Mejia-Monasterio, Giuliano Benenti, Gabriel G. Carlo, Giulio Casati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410246 |
| URL | https://arxiv.org/abs/quant-ph/0410246 |
| DOI | 10.1103/PhysRevA.71.062324 |
| Journal | Phys. Rev. A 71, 062324 (2005) |
Abstract
We study the relation between entanglement and quantum chaos in one- and two-dimensional spin-1/2 lattice models, which exhibit mixing of the noninteracting eigenfunctions and transition from integrability to quantum chaos. Contrary to what occurs in a quantum phase transition, the onset of quantum chaos is not a property of the ground state but take place for any typical many-spin quantum state. We study bipartite and pairwise entanglement measures, namely the reduced Von Neumann entropy and the concurrence, and discuss quantum entanglement sharing. Our results suggest that the behavior of the entanglement is related to the mixing of the eigenfunctions rather than to the transition to chaos.
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"abstract": "We study the relation between entanglement and quantum chaos in one- and\ntwo-dimensional spin-1/2 lattice models, which exhibit mixing of the\nnoninteracting eigenfunctions and transition from integrability to quantum\nchaos. Contrary to what occurs in a quantum phase transition, the onset of\nquantum chaos is not a property of the ground state but take place for any\ntypical many-spin quantum state. We study bipartite and pairwise entanglement\nmeasures, namely the reduced Von Neumann entropy and the concurrence, and\ndiscuss quantum entanglement sharing. Our results suggest that the behavior of\nthe entanglement is related to the mixing of the eigenfunctions rather than to\nthe transition to chaos.",
"arxiv_id": "quant-ph/0410246",
"authors": [
"Carlos Mejia-Monasterio",
"Giuliano Benenti",
"Gabriel G. Carlo",
"Giulio Casati"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.71.062324",
"journal_ref": "Phys. Rev. A 71, 062324 (2005)",
"title": "Entanglement Across a Transition to Quantum Chaos",
"url": "https://arxiv.org/abs/quant-ph/0410246"
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