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We consider multiphoton dynamics of a quantum system composed of athree-state atom (a qutrit) and a single-mode photonic field in the ultrastrongand deep strong coupling regimes, when the coupling strength is comparable toor larger than the oscillator energy scale. We assume a qutrit to be in apolar-$\Lambda $ configuration in which two lower levels have mean dipolemoments. Direct multiphoton resonant transitions revealing generalized Rabioscillations, collapse, and revivals in atomic excitation probabilities for theultrastrong couplings are studied. In the deep strong coupling regimeparticular emphasis is placed on the ground state of considering system whichexhibits strictly nonclassical properties.

Multiphoton interaction of a qutrit with single-mode quantized field in the ultrastrong and deep strong coupling regimes