diff options
Diffstat (limited to 'content/know/concept/rabi-oscillation')
| -rw-r--r-- | content/know/concept/rabi-oscillation/index.pdc | 15 |
1 files changed, 6 insertions, 9 deletions
diff --git a/content/know/concept/rabi-oscillation/index.pdc b/content/know/concept/rabi-oscillation/index.pdc index a488de0..c6a1227 100644 --- a/content/know/concept/rabi-oscillation/index.pdc +++ b/content/know/concept/rabi-oscillation/index.pdc @@ -5,6 +5,7 @@ publishDate: 2021-09-22 categories: - Physics - Quantum mechanics +- Two-level system - Optics date: 2021-09-18T00:41:43+02:00 @@ -74,17 +75,13 @@ $$\begin{aligned} &= - i \frac{V_{ab}}{2 \hbar} \Big( \exp\!\big(i (\omega \!+\! \omega_0) t\big) + \exp\!\big(\!-\! i (\omega \!-\! \omega_0) t\big) \Big) \: c_a \end{aligned}$$ -Here, we make the *rotating wave approximation*: +Here, we make the +[rotating wave approximation](/know/concept/rotating-wave-approximation/): assuming we are close to resonance $\omega \approx \omega_0$, -we decide that $\exp\!(i (\omega \!+\! \omega_0) t)$ -oscillates so much faster than $\exp\!(i (\omega \!-\! \omega_0) t)$, -that its effect turns out negligible +we argue that $\exp\!(i (\omega \!+\! \omega_0) t)$ +oscillates so fast that its effect is negligible when the system is observed over a reasonable time interval. - -In other words, over this reasonably-sized time interval, -$\exp\!(i (\omega \!+\! \omega_0) t)$ averages to zero, -while $\exp\!(i (\omega \!-\! \omega_0) t)$ does not. -Dropping the respective terms thus leaves us with: +Dropping those terms leaves us with: $$\begin{aligned} \boxed{ |