Phys. Rev. A 76, 041801(R) (2007) [4 pages]Exact mapping of the 2+1 Dirac oscillator onto the Jaynes-Cummings model: Ion-trap experimental proposal
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 URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.041801
DOI:
10.1103/PhysRevA.76.041801
PACS:
42.50.Pq, 42.50.Vk, 03.65.Pm
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