ECE615_Lecture_24

ECE615_Lecture_24 - Intense field - population changes...

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Unformatted text preview: Intense field - population changes significantly, Stark shift induced by the laser field profoundly modifies the energy-level 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 = - + - 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 = + ( 29 2 2 2 1 2 2 ( ) sin b C t t = 2 2 2 = + 2 ( ) ( ) b bb C t t = 2 2 ( ) ( ) 1 a b C t C t + = 2 ( ) ( ) a aa C t t = for the exact resonance- Rabi frequency oscillations between 0 and 1 = ( 29 2 2 1 2 ( ) cos a C t t = ( 29 2 2 1 2 ( ) sin b C t t = 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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ECE615_Lecture_24 - Intense field - population changes...

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