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authorPrefetch2022-02-01 11:23:35 +0100
committerPrefetch2022-02-01 11:23:35 +0100
commit43c5b696aaf421dec7aee967002999d9145da35e (patch)
tree418dd75bb385a8922b9484883ae0d42124239c94 /content/know/concept/rabi-oscillation
parent88537b82784f71104c3a2771330c9e492f57fb03 (diff)
Expand knowledge base
Diffstat (limited to 'content/know/concept/rabi-oscillation')
-rw-r--r--content/know/concept/rabi-oscillation/index.pdc15
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{