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This study explores the decay rates of N atoms located inside a spherical geometry, focusing on how the wavelength of light influences these rates. We analyze scenarios where the wavelength is significantly larger than the sphere's size, equal to its radius, and smaller than its dimensions. Special attention is given to the superradiant state vectors under varying conditions. Theoretical predictions are compared with numerical results to understand the dependence of decay rates on wavelength and sphere geometry, providing insights into superradiance phenomena.
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Equations for decay rates Testing formulas for decay rates
N atoms inside a sphere: theoretical prediction
Superradiant state vector, wavelength 4 times larger than size of sphere
Superradiant state vector, wavelength equal to radius of sphere
Superradiant state vector, small wavelength