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Intensity-dependent quantum Rabi model: spectrum, supersymmetric partner, and optical simulation

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Abstract

We study an intensity-dependent quantum Rabi model that can be written in terms of SU(1,1) group elements and is related to the Buck–Sukumar model for the Bargmann parameter k=1/2. The spectrum seems to present avoided crossings for all valid parameter sets and, thus, may be integrable. For a degenerate qubit, the model is soluble, and we construct an unbroken supersymmetric partner for it. We discuss the classical simulation of the general model in photonic lattices and show that it presents quasi-periodic reconstruction for a given initial state and parameter set.

© 2014 Optical Society of America

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