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

Journal Article · Mon Oct 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.041801· OSTI ID:21020641

Bermudez, A; Martin-Delgado, M A ^[1]; Solano, E ^[2]

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1. Departamento de Fisica Teorica I, Universidad Complutense, 28040 Madrid (Spain)
2. Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universitaet, Theresienstrasse 37, 80333 Munich (Germany)

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.

• OSTI ID: 21020641
• Journal Information: Physical Review. A, Vol. 76, Issue 4; Other Information: DOI: 10.1103/PhysRevA.76.041801; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
DIRAC EQUATION
INTERACTIONS
IONS
OPTICAL PROPERTIES
OSCILLATIONS
OSCILLATORS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SPIN
TRAPPING
TRAPS
ZITTERBEWEGUNG