Speaker
Description
By an appropriate representation of the fermionic variables in theWess-Zumino quantum mechan-
ics, we show it entails a non-linear generalization of the Jaynes-Cumming (JC) model in quantum
optics. Actually, we show that the constraints corresponding to the canonical quantization of the
fermionic variables de?ne a real eight-dimensional manifold and that one point in it realizes the JC
model. As is well known, the Jaynes-Cummings model describes the interaction between a single
two-level atom and a single-mode radiation ?eld and it is experimentally realizable in Cavity-QED
systems, whereas the Wess-Zumino quantum mechanics is obtained by dimensional reduction from
the four dimensional N = 1 supersymmetric Wess-Zumino model. This latter describes the evolu-
tion of a complex scalar ?eld and a fermionic (spin-1/2) ?eld in four dimensions. Thus, the mapping
built up in this work relates two apparently distinct realms, i.e., supersymmetric quantum ?eld the-
ory and quantum optics, and so it allows the use of superspace techniques in quantum optics, for
instance, the super?eld path integral formalism.
| Tipo de Apresentação | Oral |
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