dorsal/arxiv
View SchemaDynamical aspects of quantum entanglement for coupled mapping systems
| Authors | Hiroshi Fujisaki, Atushi Tanaka, Takayuki Miyadera |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302015 |
| URL | https://arxiv.org/abs/quant-ph/0302015 |
| DOI | 10.1143/JPSJS.72SC.111 |
| Journal | J. Phys. Soc. Jpn. Suppl. C 72 (2003) 111 |
Abstract
We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the entanglement production rate which is defined by using the linear entropy of the subsystem. This formula predicts that {\it the increment of the strength of chaos does not enhance the production rate of entanglement} when the coupling is weak enough and the subsystems are strongly chaotic. The prediction is confirmed by numerical experiments for coupled kicked tops and rotors. We also discuss the entanglement production using the Husimi representation of the reduced density matrix.
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"abstract": "We investigate how the dynamical production of quantum entanglement for\nweakly coupled mapping systems is influenced by the chaotic dynamics of the\ncorresponding classical system. We derive a general perturbative formula for\nthe entanglement production rate which is defined by using the linear entropy\nof the subsystem. This formula predicts that {\\it the increment of the strength\nof chaos does not enhance the production rate of entanglement} when the\ncoupling is weak enough and the subsystems are strongly chaotic. The prediction\nis confirmed by numerical experiments for coupled kicked tops and rotors. We\nalso discuss the entanglement production using the Husimi representation of the\nreduced density matrix.",
"arxiv_id": "quant-ph/0302015",
"authors": [
"Hiroshi Fujisaki",
"Atushi Tanaka",
"Takayuki Miyadera"
],
"categories": [
"quant-ph"
],
"doi": "10.1143/JPSJS.72SC.111",
"journal_ref": "J. Phys. Soc. Jpn. Suppl. C 72 (2003) 111",
"title": "Dynamical aspects of quantum entanglement for coupled mapping systems",
"url": "https://arxiv.org/abs/quant-ph/0302015"
},
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