dorsal/arxiv
View SchemaQuantum entanglement and fixed-point bifurcations
| Authors | Andrew P. Hines, G. J. Milburn, Ross H. McKenzie |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308165 |
| URL | https://arxiv.org/abs/quant-ph/0308165 |
| DOI | 10.1103/PhysRevA.71.042303 |
| Journal | Phys. Rev. A 71, 042303 (2005) |
Abstract
How does the classical phase space structure for a composite system relate to the entanglement characteristics of the corresponding quantum system? We demonstrate how the entanglement in nonlinear bipartite systems can be associated with a fixed point bifurcation in the classical dynamics. Using the example of coupled giant spins we show that when a fixed point undergoes a supercritical pitchfork bifurcation, the corresponding quantum state - the ground state - achieves its maximum amount of entanglement near the critical point. We conjecture that this will be a generic feature of systems whose classical limit exhibits such a bifurcation.
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"abstract": "How does the classical phase space structure for a composite system relate to\nthe entanglement characteristics of the corresponding quantum system? We\ndemonstrate how the entanglement in nonlinear bipartite systems can be\nassociated with a fixed point bifurcation in the classical dynamics. Using the\nexample of coupled giant spins we show that when a fixed point undergoes a\nsupercritical pitchfork bifurcation, the corresponding quantum state - the\nground state - achieves its maximum amount of entanglement near the critical\npoint. We conjecture that this will be a generic feature of systems whose\nclassical limit exhibits such a bifurcation.",
"arxiv_id": "quant-ph/0308165",
"authors": [
"Andrew P. Hines",
"G. J. Milburn",
"Ross H. McKenzie"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.042303",
"journal_ref": "Phys. Rev. A 71, 042303 (2005)",
"title": "Quantum entanglement and fixed-point bifurcations",
"url": "https://arxiv.org/abs/quant-ph/0308165"
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