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

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

Universidad Complutense de Madrid
Ludwig-Maximilians-Universität München
Pontificia Universidad Católica del Perú

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

223 Citas (Scopus)

Resumen

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.

Idioma original	Español
Publicación	Physical Review A: atomic, molecular, and optical physics
Volumen	76
Estado	Publicada - 2 oct. 2007
Publicado de forma externa	Sí

Citar esto

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

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. {\textcopyright} 2007 The American Physical Society.",

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T1 - Exact mapping of the 2+1 Dirac oscillator onto the Jaynes-Cummings model: Ion-trap experimental proposal

AU - Bermudez, A.

AU - Martin-Delgado, M. A.

AU - Solano, E.

PY - 2007/10/2

Y1 - 2007/10/2

N2 - 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.

AB - 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.

M3 - Artículo

SN - 2469-9926

VL - 76

JO - Physical Review A: atomic, molecular, and optical physics

JF - Physical Review A: atomic, molecular, and optical physics

ER -