Asymptotic Analysis of a Quantum Memristor on an Ultracold 171Yb+ Ion

The dynamics of level populations in a quantum memristor on ultracold 171 Yb + ions has been analytically considered for the case where the acting laser pulses resonant to the transitions between the levels are significantly separated in time. It has been shown that the dynamics of the level populations, as well as the control parameter of the memristor, can be calculated analytically in this case. Comparison has shown that the obtained dependences are in good agreement with the direct numerical solution of the system of equations for level population amplitudes.