Exact mapping of the 2+1 Dirac oscillator onto the Jaynes-Cummings model: Ion-trap experimental proposal

A. Bermudez, M. A. Martin-Delgado, E. Solano

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Abstract

We study the dynamics of the 2+1 Dirac oscillator exactly and find spin oscillations due to a Zitterbewegung of purely relativistic origin. We find an exact mapping of this quantum-relativistic system onto a Jaynes-Cummings model, describing the interaction of a two-level atom with a quantized single-mode field. This equivalence allows us to map a series of quantum optical phenomena onto the relativistic oscillator and vice versa. We make a realistic experimental proposal, in reach with current technology, for studying the equivalence of both models using a single trapped ion. © 2007 The American Physical Society.
Original languageSpanish
JournalPhysical Review A: atomic, molecular, and optical physics
Volume76
StatePublished - 2 Oct 2007
Externally publishedYes

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