Dissipative dynamics of qubits driven by a bichromatic field in the dispersive regime

Abstract

We study the coherent dynamics of relaxing qubits driven by a bichromatic radiation in the dispersive regime, when detuning of the frequency ${\omega }_{rf}$ of a longitudinal radiofrequency field from the Rabi frequency ${\omega }_1$ in a transverse microwave field is comparable in magnitude to ${\omega }_{rf}$ and ${\omega }_1$. We analytically describe this regime beyond the rotating wave approximation and find that the dominant feature of dynamics of qubits is the shift of the Rabi frequency caused by the dynamical Zeeman and Bloch-Siegert-like effects. These fundamental effects can be experimentally separated because, unlike the Bloch-Siegert effect, the dynamical Zeeman effect depends on the detuning sign. Our theoretical results are in a good agreement with the experimental data obtained in pulse EPR for the $E_1^{\prime }$ centers in crystalline quartz.

11 pages, 4 figures

References in corpus (4)

• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Low frequency Rabi spectroscopy of dissipative two level systems. The dressed state approach
• Low frequency Rabi spectroscopy for a dissipative two-level system
• Multiplication of Qubits in a Doubly Resonant Bichromatic Field

Cited by in corpus (2)

• Higher-order geometric phase for qubits in a bichromatic field
• Combined effect of mutually frequency-detuned strong and weak drives on a two-level system: Envelope of the Rabi oscillations