Comprehensive theory of the relative phase in atom-field interactions

Details Comprehensive theory of the relative phase in atom-field interactions Comprehensive theory of the relative phase in atom-field interactions

2001-02-05

arxiv.org/abs/quant-ph/0102026v1

Physics

Quantum Physics

20 pages, 4 figures, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.63.063801

We explore the role played by the quantum relative phase in a well-known model of atom-field interaction, namely, the Dicke model. We introduce an appropriate polar decomposition of the atom-field relative amplitudes that leads to a truly Hermitian relative-phase operator, whose eigenstates correctly describe the phase properties, as we demonstrate by studying the positive operator-valued measure derived from it. We find the probability distribution for this relative phase and, by resorting to a numerical procedure, we study its time evolution.

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