dorsal/arxiv
View SchemaEntanglement production in Quantized Chaotic Systems
| Authors | Jayendra N. Bandyopadhyay, Arul Lakshminarayan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501113 |
| URL | https://arxiv.org/abs/quant-ph/0501113 |
| DOI | 10.1007/BF02706205 |
| Journal | Pramana : Journal of Physics 64, 577 (2005) |
Abstract
Quantum chaos is a subject whose major goal is to identify and to investigate different quantum signatures of classical chaos. Here we study entanglement production in coupled chaotic systems as a possible quantum indicator of classical chaos. We use coupled kicked tops as a model for our extensive numerical studies. We find that, in general, presence of chaos in the system produces more entanglement. However, coupling strength between two subsystems is also very important parameter for the entanglement production. Here we show how chaos can lead to large entanglement which is universal and describable by random matrix theory (RMT). We also explain entanglement production in coupled strongly chaotic systems by deriving a formula based on RMT. This formula is valid for arbitrary coupling strengths, as well as for sufficiently long time. Here we investigate also the effect of chaos on the entanglement production for the mixed initial state. We find that many properties of the mixed state entanglement production are qualitatively similar to the pure state entanglement production. We however still lack an analytical understanding of the mixed state entanglement production in chaotic systems.
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"abstract": "Quantum chaos is a subject whose major goal is to identify and to investigate\ndifferent quantum signatures of classical chaos. Here we study entanglement\nproduction in coupled chaotic systems as a possible quantum indicator of\nclassical chaos. We use coupled kicked tops as a model for our extensive\nnumerical studies. We find that, in general, presence of chaos in the system\nproduces more entanglement. However, coupling strength between two subsystems\nis also very important parameter for the entanglement production. Here we show\nhow chaos can lead to large entanglement which is universal and describable by\nrandom matrix theory (RMT). We also explain entanglement production in coupled\nstrongly chaotic systems by deriving a formula based on RMT. This formula is\nvalid for arbitrary coupling strengths, as well as for sufficiently long time.\nHere we investigate also the effect of chaos on the entanglement production for\nthe mixed initial state. We find that many properties of the mixed state\nentanglement production are qualitatively similar to the pure state\nentanglement production. We however still lack an analytical understanding of\nthe mixed state entanglement production in chaotic systems.",
"arxiv_id": "quant-ph/0501113",
"authors": [
"Jayendra N. Bandyopadhyay",
"Arul Lakshminarayan"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1007/BF02706205",
"journal_ref": "Pramana : Journal of Physics 64, 577 (2005)",
"title": "Entanglement production in Quantized Chaotic Systems",
"url": "https://arxiv.org/abs/quant-ph/0501113"
},
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