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Breakdown of gauge invariance in ultrastrong-coupling cavity QED

Breakdown of gauge invariance in ultrastrong-coupling cavity QED

We revisit the derivation of Rabi- and Dicke-type models, which are commonly used for the study of quantum light-matter interactions in cavity and circuit QED. We demonstrate that the validity of the two-level approximation, which is an essential step in this derivation, depends explicitly on the choice of gauge once …