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Simulation and Animation of Spin Dressing and Critical spin Dressing written in Python.

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Spin-Dressing

Simulation and Animation of Spin Dressing and Critical spin Dressing. For more information on spin dressing check my thesis:
https://summit.sfu.ca/item/17959

Spin Dressing Animation

I used Python to create spin dressing animations.
In Spin dressing technique you can modify the gyromagnetic ratio. You can make it smaller (positive)
Animation 1: Positive Gyromagnetic Ratio
Animation 2: Positive Gyromagnetic Ratio
Or zero!
Animation 3: Zero Gyromagnetic Ratio
Animation 4: Zero Gyromagnetic Ratio
Or smaller (negative)!
Animation 5: Negative Gyromagnetic Ratio
Or even larger! this regime is not as easy as the previous ones to explain by theory.
Animation 6: Positive Gyromagnetic Ratiot, g/g' > 1

What is Spin dressing?

This is a technique in which you can modify the gyromagnetic ratio of a particle. The idea of modifying the gyromagnetic ratio of a spin system by applying time-dependant magnetic fields might seem strange but the idea is well-established and dates to work done in the 1960s by C. Cohen-Tannoudji and S. Haroche [1]. When a spin-1/2 particle simultaneously interacts with a weak static magnetic field and a strong but off-resonant oscillating magnetic field, which is called the dressing field, then it precesses about the static field at a time-averaged rate that is different than the Larmor precession frequency. It is this timeaveraged precession frequency that is meant when one talks about a modified, apparent, or dressed precession frequency. This situation can be viewed as if the particle has a modified or apparent gyromagnetic ratio. It is thus common to refer to the particle as a dressed particle. One can certainly apply a dressing field to two spin species simultaneously, and in principle it should be possible to tune the modified gyromagnetic ratios of the two to be equal. This special condition is referred to as a Critical Spin Dressing (CSD) condition.

References:

[1] C. Cohen-Tannoudji and S. Haroche. Absorption et diffusion de photons optiques par un atome en interaction avec des photons de radiofréquence. Journal de Physique, 30(2-3):153–168, 1969.

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Simulation and Animation of Spin Dressing and Critical spin Dressing written in Python.

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