 Solution

ID: past-exam-of-the-quantum-physics-course-of-the-university-of-oxford/2016/10/e/a/solution

ω = ω_{0}

and

Ω = 0

, so

P_{-} (t) = ∣ c_{2} (t) ∣^{2} = sin^{2} (γ t) .

For nonzero drive the probability starts at zero, reaches unity at

t = π / (2∣ γ ∣)

, and repeats with period

π /∣ γ ∣

2∣ γ ∣

. This is complete resonant Rabi transfer; a drive of zero strength gives no transition.

 New to topics? Read the docs here!