Calculate the tensor polarizability of the 5p32 states as a

Question

Rb AC Polarizabilities

Calculate the polarizability of the 5s state as a function of wavelength. Plot your result for 0.4 μm < λ < 2 μm. Compare to Phys. Rev. Lett. 68, 2015 (1992) and Phys. Rev. A 92, 052513 (2015).

Calculate the scalar polarizabilities of the 5 p_j states as a function of wavelength. Plot your result for 500 nm < λ < 2000 nm. Are there any magic wavelengths?

Calculate the tensor polarizability of the 5p_3/2 states as a function of wavelength. Plot your result for 500 nm < λ < 2000 nm. Are there any practical zeros?

At the zero wavelength for the tensor polarizability, calculate how much laser power would be required to make a trap that is 1 mK deep, and has a spatial profile of ε = ε₀e^-(x2+y2)/w2, with w = 2 μm? What is the light shift for the P_J states, in MHz, in this trap?

Repeat for a magic wavelength trap for the 5 P_1/2 state.

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