From 43c5b696aaf421dec7aee967002999d9145da35e Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Tue, 1 Feb 2022 11:23:35 +0100
Subject: Expand knowledge base

---
 content/know/concept/rabi-oscillation/index.pdc | 15 ++++++---------
 1 file changed, 6 insertions(+), 9 deletions(-)

(limited to 'content/know/concept/rabi-oscillation/index.pdc')

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{
-- 
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