Question

Laser cooling A counterpropagating laser beam resonant with the 6S-6P transition at 852 nm decelerates a collimated atomic beam of caesium atoms ejected from the oven with a velocity of 300 m/s. The frequency of the laser is detuned by a value of \Delta from the centre of the resonant line. 1. Give the expression, the sign and the numerical value of the optimised detuning \Delta at the beginning of the cooling process. 2. Give the expression and the numerical value of the deceleration of the atoms at the beginning of the cooling process. 3. To maintain an optimised interaction during the cooling process, the detuning \Delta must be adjusted. Determine the expression of \Delta(t) and calculate its numerical expression in megahertz (MHz) with time t in milliseconds (ms). Data: Planck constant is $h = 6.62 \times 10^{-34} \text{J.s}$. For caesium: lifetime of the 6P level is 31 ns, mass is $M = 2.19 \times 10^{-25} \text{kg}$.

          Laser cooling
A counterpropagating laser beam resonant with the 6S-6P transition at
852 nm decelerates a collimated atomic beam of caesium atoms ejected from
the oven with a velocity of 300 m/s. The frequency of the laser is detuned
by a value of \Delta from the centre of the resonant line.
1. Give the expression, the sign and the numerical value of the optimised
detuning \Delta at the beginning of the cooling process.
2. Give the expression and the numerical value of the deceleration of the
atoms at the beginning of the cooling process.
3. To maintain an optimised interaction during the cooling process, the
detuning \Delta must be adjusted. Determine the expression of \Delta(t) and
calculate its numerical expression in megahertz (MHz) with time t in
milliseconds (ms).
Data: Planck constant is $h = 6.62 \times 10^{-34} \text{J.s}$. For caesium: lifetime of the
6P level is 31 ns, mass is $M = 2.19 \times 10^{-25} \text{kg}$.

Laser cooling
A counterpropagating laser beam resonant with the 6S-6P transition at
852 nm decelerates a collimated atomic beam of caesium atoms ejected from
the oven with a velocity of 300 m/s. The frequency of the laser is detuned
by a value of Δfrom the centre of the resonant line.
1. Give the expression, the sign and the numerical value of the optimised
detuning Δat the beginning of the cooling process.
2. Give the expression and the numerical value of the deceleration of the
atoms at the beginning of the cooling process.
3. To maintain an optimised interaction during the cooling process, the
detuning Δmust be adjusted. Determine the expression of Δ(t) and
calculate its numerical expression in megahertz (MHz) with time t in
milliseconds (ms).
Data: Planck constant is h = 6.62 × 10^-34J.s. For caesium: lifetime of the
6P level is 31 ns, mass is M = 2.19 × 10^-25kg.

Added by Kathy M.

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