Past exam of the quantum physics course of the University of Oxford / 2016 / 10 / e / a

Table of contents
- Solution a

Solution

On Rabi resonance,

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 ∣

. The population oscillation therefore has angular frequency

2∣ γ ∣

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

Figure 1.
Resonant and detuned spin transition probabilities
. The dimensionless time is the drive coupling times time. The detuned example uses half-detuning equal to the drive coupling, making the maximum transition probability one half. Details.

 Ancestors (12)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version