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

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

2010-10-25

arxiv.org/abs/1010.5229v2

Physics

Quantum Physics

To appear in the Proceedings of Symposium Symmetries in Nature in memoriam Marcos Moshinsky. http://www.cicc.unam.mx/activit

Scientific paper

10.1063/1.3537860

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.

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