dorsal/arxiv
View SchemaEntanglement quantifiers and phase transitions
| Authors | Daniel Cavalcanti, Fernando G. S. L. Brandao, Marcelo O. Terra Cunha |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510132 |
| URL | https://arxiv.org/abs/quant-ph/0510132 |
| DOI | 10.1088/1367-2630/8/10/260 |
| Journal | New J. Phys. 8, 260 (2006) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
By the topological argument that the identity matrix is surrounded by a set of separable states follows the result that if a system is entangled at thermal equilibrium for some temperature, then it presents a phase transition (PT) where entanglement can be viewed as the order parameter. However, analyzing different entanglement measures in the 2-qubit context, we see that different entanglement quantifiers can indicate different orders for the same PT. Examples are given for different Hamiltonians. Moving to the multipartite context we show necessary and sufficient conditions for a family of entanglement monotones to attest quantum phase transitions.
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"abstract": "By the topological argument that the identity matrix is surrounded by a set\nof separable states follows the result that if a system is entangled at thermal\nequilibrium for some temperature, then it presents a phase transition (PT)\nwhere entanglement can be viewed as the order parameter. However, analyzing\ndifferent entanglement measures in the 2-qubit context, we see that different\nentanglement quantifiers can indicate different orders for the same PT.\nExamples are given for different Hamiltonians. Moving to the multipartite\ncontext we show necessary and sufficient conditions for a family of\nentanglement monotones to attest quantum phase transitions.",
"arxiv_id": "quant-ph/0510132",
"authors": [
"Daniel Cavalcanti",
"Fernando G. S. L. Brandao",
"Marcelo O. Terra Cunha"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1088/1367-2630/8/10/260",
"journal_ref": "New J. Phys. 8, 260 (2006)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Entanglement quantifiers and phase transitions",
"url": "https://arxiv.org/abs/quant-ph/0510132"
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