Calculate the tensor polarizability

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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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Reference no: EM131429160

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len1429160

3/16/2017 3:55:47 AM

It must be done on Mathematica and I need the answer on .nb format of file. The last part "Rb AC Polarizabilities" on the last page should be done. (The very last question that says "honors students" does not need to be done) A recent version of Mathematica must be used to solve the task. Since most questions on the third part require graphs, the expert must be able to use Mathematica functions to accurately graph on Mathematica using the Mathematica codes. The answer must be provided in .nb format of file. The lastest version is Mathematica 11, which is the version I have. The file that is provided by the expert must be compatible with the lastest version of Mathematica. I do not need a detailed explanation, but the answers must be accurate.

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