Initial state $$\left| \alpha_0 \right\rangle + \left| \beta_0 \right\rangle$$.

$$\alpha_0 = -\beta_0 = 2$$.

Driven with $$F=(\hat{a}-\alpha(t))(\hat{a}-\beta(t))$$.

$$\alpha(t) = \alpha_0 + R(1-\cos( \frac{t}{T}2\pi)) - iR\sin( \frac{t}{T}2\pi)$$.

$$\beta(t) = \beta_0 - R(1-\cos(-\frac{t}{T}2\pi)) + iR\sin(-\frac{t}{T}2\pi)$$.

Total time $$T = 200$$.

Radius span $$R \in [-.5,1]$$.

# Summary of final state wrt radius parameter.

 Final state Bloch coordinates wrt area: Angle wrt area: Final state purity wrt radius parameter:

# For a given radius detailed time evolution.

 The qubit in the time dependent basis $$\{\left| \alpha(t) \right\rangle, \left| \beta(t) \right\rangle \}$$: First frame: Last frame:
Code to simulate the system and generate the plots.