dorsal/arxiv
View SchemaEntanglement in the interaction between two quantum oscillator systems
| Authors | ILki Kim, Gerald J. Iafrate |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612041 |
| URL | https://arxiv.org/abs/quant-ph/0612041 |
| DOI | 10.1007/s10702-004-0902-9 |
| Journal | Foundations of Physics Letters, Volume 17, pp. 507-534 (2004) |
Abstract
The fundamental quantum dynamics of two interacting oscillator systems are studied in two different scenarios. In one case, both oscillators are assumed to be linear, whereas in the second case, one oscillator is linear and the other is a non-linear, angular-momentum oscillator; the second case is, of course, more complex in terms of energy transfer and dynamics. These two scenarios have been the subject of much interest over the years, especially in developing an understanding of modern concepts in quantum optics and quantum electronics. In this work, however, these two scenarios are utilized to consider and discuss the salient features of quantum behaviors resulting from the interactive nature of the two oscillators, i.e., coherence, entanglement, spontaneous emission, etc., and to apply a measure of entanglement in analyzing the nature of the interacting systems. ... For the coupled linear and angular-momentum oscillator system in the fully quantum-mechanical description, we consider special examples of two, three, four-level angular momentum systems, demonstrating the explicit appearances of entanglement. We also show that this entanglement persists even as the coupled angular momentum oscillator is taken to the limit of a large number of levels, a limit which would go over to the classical picture for an uncoupled angular momentum oscillator.
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"abstract": "The fundamental quantum dynamics of two interacting oscillator systems are\nstudied in two different scenarios. In one case, both oscillators are assumed\nto be linear, whereas in the second case, one oscillator is linear and the\nother is a non-linear, angular-momentum oscillator; the second case is, of\ncourse, more complex in terms of energy transfer and dynamics. These two\nscenarios have been the subject of much interest over the years, especially in\ndeveloping an understanding of modern concepts in quantum optics and quantum\nelectronics. In this work, however, these two scenarios are utilized to\nconsider and discuss the salient features of quantum behaviors resulting from\nthe interactive nature of the two oscillators, i.e., coherence, entanglement,\nspontaneous emission, etc., and to apply a measure of entanglement in analyzing\nthe nature of the interacting systems. ... For the coupled linear and\nangular-momentum oscillator system in the fully quantum-mechanical description,\nwe consider special examples of two, three, four-level angular momentum\nsystems, demonstrating the explicit appearances of entanglement. We also show\nthat this entanglement persists even as the coupled angular momentum oscillator\nis taken to the limit of a large number of levels, a limit which would go over\nto the classical picture for an uncoupled angular momentum oscillator.",
"arxiv_id": "quant-ph/0612041",
"authors": [
"ILki Kim",
"Gerald J. Iafrate"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10702-004-0902-9",
"journal_ref": "Foundations of Physics Letters, Volume 17, pp. 507-534 (2004)",
"title": "Entanglement in the interaction between two quantum oscillator systems",
"url": "https://arxiv.org/abs/quant-ph/0612041"
},
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