dorsal/arxiv
View SchemaGlobal entangling properties of the coupled kicked tops
| Authors | Rafal Demkowicz-Dobrzanski, Marek Kus |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403232 |
| URL | https://arxiv.org/abs/quant-ph/0403232 |
| DOI | 10.1103/PhysRevE.70.066216 |
| Journal | Phys. Rev. E 70, 066216 (2004) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We study global entangling properties of the system of coupled kicked tops testing various hypotheses and predictions concerning entanglement in quantum chaotic systems. In order to analyze the averaged initial entanglement production rate and the averaged asymptotic entanglement different ensembles of initial product states are evolved. Two different ensembles with natural probability distribution are considered: product states of independent spin-coherent states and product states of arbitrary states. It appears that the choice of either of these ensembles results in significantly different averaged entanglement behavior. We investigate also a relation between the averaged asymptotic entanglement and the mean entanglement of the eigenvectors of an evolution operator. Lower bound on the averaged asymptotic entanglement is derived, expressed in terms of the eigenvector entanglement.
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"abstract": "We study global entangling properties of the system of coupled kicked tops\ntesting various hypotheses and predictions concerning entanglement in quantum\nchaotic systems. In order to analyze the averaged initial entanglement\nproduction rate and the averaged asymptotic entanglement different ensembles of\ninitial product states are evolved. Two different ensembles with natural\nprobability distribution are considered: product states of independent\nspin-coherent states and product states of arbitrary states. It appears that\nthe choice of either of these ensembles results in significantly different\naveraged entanglement behavior. We investigate also a relation between the\naveraged asymptotic entanglement and the mean entanglement of the eigenvectors\nof an evolution operator. Lower bound on the averaged asymptotic entanglement\nis derived, expressed in terms of the eigenvector entanglement.",
"arxiv_id": "quant-ph/0403232",
"authors": [
"Rafal Demkowicz-Dobrzanski",
"Marek Kus"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.70.066216",
"journal_ref": "Phys. Rev. E 70, 066216 (2004)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Global entangling properties of the coupled kicked tops",
"url": "https://arxiv.org/abs/quant-ph/0403232"
},
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