Figure 3: Time-evolution of the probability to find the system in spin state
for the QR system.
From: High-precision force sensing using a single trapped ion

We assume an initial thermal vibrational state with a mean phonon number = 1.2. Due to the absence of residual spin-motion coupling the Rabi oscillations are robust with respect to the spin dephasing caused by the thermal fluctuations. We compare the probability derived from the Hamiltonian
(blue triangles) with the analytical solution P↑(t) = cos2(2ΩFt) (solod line). The parameters are set to g = 4 kHz, ω = 170 kHz, zax = 14.5 nm, F = 20 yN.