dorsal/arxiv
View SchemaLimits on entanglement in rotationally-invariant scattering of spin systems
| Authors | N. L. Harshman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509013 |
| URL | https://arxiv.org/abs/quant-ph/0509013 |
| DOI | 10.1103/PhysRevA.73.062326 |
| Journal | Phys. Rev. A 73, 062326 (2006) |
Abstract
This paper investigates the dynamical generation of entanglement in scattering systems, in particular two spin systems that interact via rotationally-invariant scattering. The spin degrees of freedom of the in-states are assumed to be in unentangled, pure states, as defined by the entropy of entanglement. Because of the restriction of rotationally-symmetric interactions, perfectly-entangling S-matrices, i.e. those that lead to a maximally entangled out-state, only exist for a certain class of separable in-states. Using Clebsch-Gordan coefficients for the rotation group, the scattering phases that determine the S-matrix are determined for the case of spin systems with $\sigma = 1/2$, 1, and 3/2.
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"abstract": "This paper investigates the dynamical generation of entanglement in\nscattering systems, in particular two spin systems that interact via\nrotationally-invariant scattering. The spin degrees of freedom of the in-states\nare assumed to be in unentangled, pure states, as defined by the entropy of\nentanglement. Because of the restriction of rotationally-symmetric\ninteractions, perfectly-entangling S-matrices, i.e. those that lead to a\nmaximally entangled out-state, only exist for a certain class of separable\nin-states. Using Clebsch-Gordan coefficients for the rotation group, the\nscattering phases that determine the S-matrix are determined for the case of\nspin systems with $\\sigma = 1/2$, 1, and 3/2.",
"arxiv_id": "quant-ph/0509013",
"authors": [
"N. L. Harshman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062326",
"journal_ref": "Phys. Rev. A 73, 062326 (2006)",
"title": "Limits on entanglement in rotationally-invariant scattering of spin systems",
"url": "https://arxiv.org/abs/quant-ph/0509013"
},
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