Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
Quantum Physics
2009-11-13 v1
Abstract
We study the dynamics of the 2+1 Dirac oscillator exactly and find spin oscillations due to a {\it 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 viceversa. We make a realistic experimental proposal, at reach with current technology, for studying the equivalence of both models using a single trapped ion.
Keywords
Cite
@article{arxiv.0704.2315,
title = {Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal},
author = {A. Bermudez and M. A. Martin-Delgado and E. Solano},
journal= {arXiv preprint arXiv:0704.2315},
year = {2009}
}
Comments
Revtex4, submitted for publication