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 \( R \in [-.5,1] \).
|
Final state Bloch coordinates wrt area:
|
Angle wrt area:
|
Final state purity wrt radius parameter:
|
|
The qubit in the time dependent basis \( \{\left| \alpha(t) \right\rangle, \left| \beta(t) \right\rangle \}\): 
|
|
|
First frame:
|
Last frame:
|