The Dirac-Moshinsky oscillator coupled to an external field and its connection to quantum optics
arXiv:1010.5229 · doi:10.1063/1.3537860
Abstract
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.
To appear in the Proceedings of Symposium Symmetries in Nature in memoriam Marcos Moshinsky. http://www.cicc.unam.mx/activities/2010/SymmetriesInNature/index.html
Cited by in corpus (5)
- First experimental realization of the Dirac oscillator
- Coherent states for the two-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field
- Mapping of the 2+1 Dirac-Moshinsky Oscillator Coupled to an External Isospin Field onto Jaynes-Cummings Model
- Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes-Cummings Model
- The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator