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

Journal Article · Thu Dec 23 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3537860· OSTI ID:21511345

Torres, Juan Mauricio ^[1]; Sadurni, Emerson ^[2]; Seligman, Thomas H ^[1]

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1. Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Av. Universidad s/n, Cuernavaca, Morelos, 62210 (Mexico)
2. Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm (Germany)

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.

• OSTI ID: 21511345
• Journal Information: AIP Conference Proceedings, Vol. 1323, Issue 1; Conference: Symposium on symmetries in nature in memoriam Marcos Moshinsky, Cuernavaca (Mexico), 7-14 Aug 2010; Other Information: DOI: 10.1063/1.3537860; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
COUPLING
DIRAC EQUATION
EXACT SOLUTIONS
ISOSPIN
MATHEMATICAL OPERATORS
OPTICS
OSCILLATORS
QUANTUM ELECTRODYNAMICS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
RELATIVISTIC RANGE
SIMULATION
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ELECTRONIC EQUIPMENT
ENERGY RANGE
EQUATIONS
EQUIPMENT
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICAL SOLUTIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
WAVE EQUATIONS