Retardation and multipole corrections to blackbody radiation shifts in Rydberg states become dominant above a characteristic temperature of order α mc² / (3 k_B n²), with quadrupole and diamagnetic shifts of similar magnitude.
(25 is a natural generalization of the familiar length gauge Hamiltonian generally used for calculating BBR shift, which is an advantage of this formulation
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Multipole blackbody radiation shift in Rydberg atoms
Retardation and multipole corrections to blackbody radiation shifts in Rydberg states become dominant above a characteristic temperature of order α mc² / (3 k_B n²), with quadrupole and diamagnetic shifts of similar magnitude.