Consider a two-level system with E 1 2. There is a time-dependent potential that connects the two
Question:
Consider a two-level system with E1 2. There is a time-dependent potential that connects the two levels as follows:
At t = 0, it is known that only the lower level is populated-that is, c1(0) = 1, c2(0) = 0.
(a) Find
by exactly solving the coupled differential equation
(b) Do the same problem using time-dependent perturbation theory to lowest nonvanishing order. Compare the two approaches for small values of λ. Treat the following two cases separately:
(i) ω very different from ω21 and
(ii) ω close to ω21·
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To solve this problem we will first solve the coupled differential equations using the timeevolution ...View the full answer
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