Multiphoton Raman transitions and Rabi oscillations in driven spin systems

Abstract

In the framework of the non-secular perturbation theory based on the Bogoliubov averaging method, the coherent dynamics of multiphoton Raman transitions in a two-level spin system driven by an amplitude-modulated microwave field is studied. Closed-form expressions for the Rabi frequencies of these transitions have been obtained beyond the rotating wave approximation for the low-frequency driving component. It is shown that spin states dressed by the high-frequency component of the driving field are shifted due to the Bloch-Siegert-like effect caused by antiresonant interactions with the strong low-frequency driving. We predict that with increasing the order of the Raman transition the Rabi frequency decreases and the contribution of the Bloch-Siegert shift to this frequency becomes dominant. It is found that the amplitude and phase of the Rabi oscillations strongly depend on the initial phase of the low-frequency field as well as on detuning from multiphoton resonance. The recent experimental data for the second- and third-order Raman transitions observed for nitrogen-vacancy center in diamond [Z. Shu, et al., arXiv:1804. 10492] are well described in the frame of our approach. Our results provide new possibilities for coherent control of quantum systems.

9 pages, 7 figures, Accepted to Phys. Rev. A (18 Sep 2018)

References in corpus (3)

• 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
• Floquet resonances close to the adiabatic limit and the effect of dissipation

Cited by in corpus (13)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Observation of Floquet Raman transition in a driven solid-state spin system
• Two-photon absorption in a two-level system enabled by noise
• Experimental protection of quantum coherence by using a phase-tunable image drive
• Role of generalized parity in the symmetry of fluorescence spectrum from two-level systems under periodic frequency modulation
• Bloch-Siegert oscillations in the Rabi model with an amplitude-modulated driving field
• Harmonic dual dressing of spin one-half systems
• Microwave multiphoton conversion via coherently driven permanent dipole systems
• Kerr-like nonlinearities in an optomechanical system with an asymmetric anharmonic mechanical resonator
• Spontaneous decay processes in a classical strong low-frequency laser field
• The possibility of direct observation of the Bloch-Siegert shift in coherent dynamics of multiphoton Raman transitions
• Averaging method and coherence applied to Rabi oscillations in a two-level system
• Peculiarities of Rabi oscillations and free induction decay in two-component nuclear spin systems with Ising nuclei interactions