Adiabatic rapid passage (ARP) is a powerful technique for efficient transfer of population between quantum states. In the laboratory, the efficiency of ARP is often limited by noise on either the energies of the states or the frequency of the driving field. We study ARP in the simple setting of a two-level system subject to sinusoidal fluctuations on the energy level separation by numerically solving the optical Bloch equations in the absence of damping. We investigate the dependence of the efficiency of population transfer on the frequency and amplitude of the perturbation and find that it is predominantly affected by resonant coupling when the detuning matches the frequency of the noise. We present intuitive principles for when ARP becomes inefficient within this model, and provide a sufficient condition for the population transfer to be above an arbitrary threshold.Adiabatic rapid passage (ARP) is a powerful technique for efficient transfer of population between quantum states. In the laboratory, the efficiency of ARP is often limited by noise on either the energies of the states or the frequency of the driving field. We study ARP in the simple setting of a two-level system subject to sinusoidal fluctuations on the energy level separation by numerically solving the optical Bloch equations in the absence of damping. We investigate the dependence of the efficiency of population transfer on the frequency and amplitude of the perturbation and find that it is predominantly affected by resonant coupling when the detuning matches the frequency of the noise. We present intuitive principles for when ARP becomes inefficient within this model, and provide a sufficient condition for the population transfer to be above an arbitrary threshold.

arXiv:2205.13688Physical Review AJul 18, 20237 citations

Transient processes and optical Bloch equations

R. N. Shakhmuratov

May 1, 19900 citations

Parameters of adiabatic rapid passage in the 0-0 hyperfine transition of Rb87

James C. Camparo, R. P. Frueholz

The parameters of adiabatic rapid passage (ARP) in the ground-state 0-0 hyperfine transition of $^{87}\mathrm{Rb}$ have been investigated. These parameters relate to how adiabatic and how rapid the passage through resonance must be in order to maximize the degree of population reversal. We find both experimentally and theoretically that the adiabaticity requirement is rather weak; and that once satisfied, it is more important to pass through the resonance rapidly. Furthermore, interpreting our results in the Bloch-vector model of ARP, we find that the Bloch vector is only required to precess a half revolution about the effective field in order to follow a 90\ifmmode^\circ\else\textdegree\fi{} change in the direction of that field. The applicability of the present results to ARP in general is discussed.The parameters of adiabatic rapid passage (ARP) in the ground-state 0-0 hyperfine transition of $^{87}\mathrm{Rb}$ have been investigated. These parameters relate to how adiabatic and how rapid the passage through resonance must be in order to maximize the degree of population reversal. We find both experimentally and theoretically that the adiabaticity requirement is rather weak; and that once satisfied, it is more important to pass through the resonance rapidly. Furthermore, interpreting our results in the Bloch-vector model of ARP, we find that the Bloch vector is only required to precess a half revolution about the effective field in order to follow a 90\ifmmode^\circ\else\textdegree\fi{} change in the direction of that field. The applicability of the present results to ARP in general is discussed.

Physical Review AAug 1, 198433 citations

QUANTUM MECHANICAL FORM OF THE DAMPED BLOCH EQUATIONS

Angelo Turrin

Jan 1, 19760 citations

The parameters of adiabatic rapid passage (ARP) in the ground-state 0-0 hyperfine transition of

^{87}\mathrm{Rb}

have been investigated. These parameters relate to how adiabatic and how rapid the passage through resonance must be in order to maximize the degree of population reversal. We find both experimentally and theoretically that the adiabaticity requirement is rather weak; and that once satisfied, it is more important to pass through the resonance rapidly. Furthermore, interpreting our results in the Bloch-vector model of ARP, we find that the Bloch vector is only required to precess a half revolution about the effective field in order to follow a 90\ifmmode^\circ\else\textdegree\fi{} change in the direction of that field. The applicability of the present results to ARP in general is discussed.