Phase states for a three-level atom interacting with quantum fields

Details Phase states for a three-level atom interacting with quantum fields Phase states for a three-level atom interacting with quantum fields

2002-12-02

arxiv.org/abs/quant-ph/0212012v1

Phys.Rev. A67 (2003) 013803

Physics

Quantum Physics

11 pages, 4 figures, submitted for publication to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.67.013803

We introduce phase operators associated with the algebra su(3), which is the appropriate tool to describe three-level systems. The rather unusual properties of this phase are caused by the small dimension of the system and are explored in detail. When a three-level atom interacts with a quantum field in a cavity, a polynomial deformation of this algebra emerges in a natural way. We also introduce a polar decomposition of the atom-field relative amplitudes that leads to a Hermitian relative-phase operator, whose eigenstates correctly describe the corresponding phase properties. We claim that this is the natural variable to deal with quantum interference effects in atom-field interactions. We find the probability distribution for this variable and study its time evolution in some special cases.

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