Multi-photon transitions and Rabi resonance in continuous wave EPR

Abstract

The study of microwave and radiofrequency multi-photon transitions in continuous wave (CW) EPR spectroscopy is extended to a Rabi resonance condition, when the radio frequency of the magnetic-field modulation matches the Rabi frequency of a spin system in the microwave field. Using the non-secular perturbation theory based on the Bogoliubov averaging method, the analytical description of the response of the spin system is derived for all modulation frequency harmonics. When the modulation frequency exceeds the EPR linewidth, multi-photon transitions result in sidebands in absorption EPR spectra measured with phase-sensitive detection at any harmonic. The saturation of different-order multi-photon transitions is shown to be significantly different and to be sensitive to the Rabi resonance. The noticeable frequency shifts of sidebands are found to be the signatures of this resonance. The inversion of two-photon lines in some spectral intervals of the out-of-phase first-harmonic signal is predicted under passage through the Rabi resonance. The inversion indicates the transition from absorption to stimulated emission or vice versa, depending on the sideband. The manifestation of the primary and secondary Rabi resonance is also demonstrated in time-resolved steady-state EPR signals formed by all harmonics of the modulation frequency. Our results provide a theoretical framework for future developments in multi-photon CW EPR spectroscopy, which can be useful for samples with long spin relaxation times and extremely narrow EPR lines

20 pages, 9 figures

References in corpus (6)

• Radio-frequency magnetometry using a single electron spin
• Relaxation, decoherence and steady-state population inversion in qubits doubly dressed by microwave and radiofrequency fields
• Magnetic resonance in slowly modulated longitudinal field: Modified shape of the Rabi oscillations
• Multiplication of Qubits in a Doubly Resonant Bichromatic Field
• Multiphoton Transitions in a Spin System Driven by Strong Bichromatic Field
• Microwave Photon Antibunching at the Modulation of the Resonance Frequency of a Qubit Emitter

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• Signal amplification in a qubit-resonator system
• Bloch-Siegert oscillations in the Rabi model with an amplitude-modulated driving field
• The possibility of direct observation of the Bloch-Siegert shift in coherent dynamics of multiphoton Raman transitions
• Electrically driven spin resonance with bichromatic driving
• Observation of symmetry-protected selection rules in periodically driven quantum systems