dorsal/arxiv
View SchemaEntanglement production in coupled chaotic systems : Case of the Kicked Tops
| Authors | Jayendra N. Bandyopadhyay, Arul Lakshminarayan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307134 |
| URL | https://arxiv.org/abs/quant-ph/0307134 |
| DOI | 10.1103/PhysRevE.69.016201 |
| Journal | Phys. Rev. E, vol.69, 016201 (2004) |
Abstract
Entanglement production in coupled chaotic systems is studied with the help of kicked tops. Deriving the correct classical map, we have used the reduced Husimi function, the Husimi function of the reduced density matrix, to visualize the possible behaviors of a wavepacket. We have studied a phase space based measure of the complexity of a state and used random matrix theory (RMT) to model the strongly chaotic cases. Extensive numerical studies have been done for the entanglement production in coupled kicked tops corresponding to different underlying classical dynamics and different coupling strengths. An approximate formula, based on RMT, is derived for the entanglement production in coupled strongly chaotic systems. This formula, applicable for arbitrary coupling strengths and also valid for long time, complements and extends significantly recent perturbation theories for strongly chaotic weakly coupled systems.
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"abstract": "Entanglement production in coupled chaotic systems is studied with the help\nof kicked tops. Deriving the correct classical map, we have used the reduced\nHusimi function, the Husimi function of the reduced density matrix, to\nvisualize the possible behaviors of a wavepacket. We have studied a phase space\nbased measure of the complexity of a state and used random matrix theory (RMT)\nto model the strongly chaotic cases. Extensive numerical studies have been done\nfor the entanglement production in coupled kicked tops corresponding to\ndifferent underlying classical dynamics and different coupling strengths. An\napproximate formula, based on RMT, is derived for the entanglement production\nin coupled strongly chaotic systems. This formula, applicable for arbitrary\ncoupling strengths and also valid for long time, complements and extends\nsignificantly recent perturbation theories for strongly chaotic weakly coupled\nsystems.",
"arxiv_id": "quant-ph/0307134",
"authors": [
"Jayendra N. Bandyopadhyay",
"Arul Lakshminarayan"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.69.016201",
"journal_ref": "Phys. Rev. E, vol.69, 016201 (2004)",
"title": "Entanglement production in coupled chaotic systems : Case of the Kicked Tops",
"url": "https://arxiv.org/abs/quant-ph/0307134"
},
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