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Comprehensive theory of the relative phase in atom-field interactions

J. Delgado·E. C. Yustas·L. L. Sanchez-Soto·A. B. Klimov
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Abstract

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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J. Delgado, E. C. Yustas, L. L. Sanchez-Soto, A. B. Klimov. 2001-02-05. Comprehensive theory of the relative phase in atom-field interactions. https://doi.org/10.1103/physreva.63.063801

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