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Unformatted text preview: Intense field  population changes significantly, Stark shift induced by the laser field profoundly modifies the energylevel structure leading to new resonances in the optical susceptibility. No relaxation! From the Schrodinger Equation follows: Lecture 24 Rabi Oscillations and Dressed Atomic States ( 29 ( 29 ( , ) ( ) ( ) exp ( ) ( ) exp a a a b b b r t C t u r i t C t u r i t ψ ϖ ϖ = ⋅ + ⋅ a a 2 2 The same solution can be obtained from the Bloch equations. The solution first obtained by Rabi 1 ( 29 ( 29 2 2 2 1 1 2 2 2 ( ) cos sin a C t t t ∆ ′ ′ = Ω + Ω ′ Ω ( 29 2 2 2 1 2 2 ( ) sin b C t t Ω ′ = Ω ′ Ω 2 2 2 ′ Ω = + ∆ Ω 2 ( ) ( ) b bb C t t ρ = 2 2 ( ) ( ) 1 a b C t C t + = 2 ( ) ( ) a aa C t t ρ = for the exact resonance Rabi frequency oscillations between 0 and 1 ∆ = ( 29 2 2 1 2 ( ) cos a C t t = Ω ( 29 2 2 1 2 ( ) sin b C t t = Ω Ω As the detuning is increased, the angular frequency at which the population oscillates increases, since the generalized Rabi frequency is given by...
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This note was uploaded on 01/10/2011 for the course ECE 615 taught by Professor Shalaev during the Fall '10 term at Purdue.
 Fall '10
 Shalaev

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