The Dirac-Moshinsky oscillator coupled to an external field and its connection to quantum optics

Fuente: arXiv
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Auteurs principaux: Torres, Juan Mauricio, Sadurni, Emerson, Seligman, Thomas H.
Format: Preprint
Publié: 2010
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author Torres, Juan Mauricio
Sadurni, Emerson
Seligman, Thomas H.
author_facet Torres, Juan Mauricio
Sadurni, Emerson
Seligman, Thomas H.
contents The Dirac-Moshinsky oscillator is an elegant example of an exactly solvable quantum relativistic model that under certain circumstances can be mapped onto the Jaynes-Cummings model in quantum optics. In this work we show, how to do this in detail. Then we extend it by considering its coupling with an external (isospin) field and find the conditions that maintain solvability. We use this extended system to explore entanglement in relativistic systems and then identify its quantum optical analog: two different atoms interacting with an electromagnetic mode. We show different aspects of entanglement which gain relevance in this last system, which can be used to emulate the former.
format Preprint
id arxiv_https___arxiv_org_abs_1010_5229
institution arXiv
publishDate 2010
record_format arxiv
spellingShingle The Dirac-Moshinsky oscillator coupled to an external field and its connection to quantum optics
Torres, Juan Mauricio
Sadurni, Emerson
Seligman, Thomas H.
Quantum Physics
The Dirac-Moshinsky oscillator is an elegant example of an exactly solvable quantum relativistic model that under certain circumstances can be mapped onto the Jaynes-Cummings model in quantum optics. In this work we show, how to do this in detail. Then we extend it by considering its coupling with an external (isospin) field and find the conditions that maintain solvability. We use this extended system to explore entanglement in relativistic systems and then identify its quantum optical analog: two different atoms interacting with an electromagnetic mode. We show different aspects of entanglement which gain relevance in this last system, which can be used to emulate the former.
title The Dirac-Moshinsky oscillator coupled to an external field and its connection to quantum optics
topic Quantum Physics
url https://arxiv.org/abs/1010.5229