We study the nonlinear quantum Rabi model—both in the two-photon and the intensity-dependent coupling scheme—by utilizing the perturbation method in the off- and near-resonance regimes characterized by the field and the atomic transition frequencies. We consider the weak-coupling condition, the perturbation parameter being the ratio between the coupling constant and the atomic frequency. For both models we determine the first- and second-order corrections to energy eigenvalues and eigenstates, disclosing the doublet structure characterizing the energy spectrum. Then we apply our findings to both the coupling schemes in order to calculate the time evolution of a general initial state and the atomic population inversion for an initial state composed by a mixture of excited and unexcited atoms. [Phys. Rev. A 93 (2016) 043814]

Off-resonance regimes in nonlinear quantum Rabi models / Penna, Vittorio; Raffa, Francesco Antonino. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - STAMPA. - 93:(2016), pp. 1-10. [10.1103/PhysRevA.93.043814]

Off-resonance regimes in nonlinear quantum Rabi models

PENNA, Vittorio;RAFFA, Francesco Antonino
2016

Abstract

We study the nonlinear quantum Rabi model—both in the two-photon and the intensity-dependent coupling scheme—by utilizing the perturbation method in the off- and near-resonance regimes characterized by the field and the atomic transition frequencies. We consider the weak-coupling condition, the perturbation parameter being the ratio between the coupling constant and the atomic frequency. For both models we determine the first- and second-order corrections to energy eigenvalues and eigenstates, disclosing the doublet structure characterizing the energy spectrum. Then we apply our findings to both the coupling schemes in order to calculate the time evolution of a general initial state and the atomic population inversion for an initial state composed by a mixture of excited and unexcited atoms. [Phys. Rev. A 93 (2016) 043814]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2641097
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