Collisionally Induced Atomic Clock Shifts and Correlations

Abstract

We develop a formalism to incorporate exchange symmetry considerations into the calculation of collisional frequency shifts and blackbody radiation effects for atomic clock transitions using a density matrix formalism. The formalism is developed for both fermionic and bosonic atomic clocks. Results for a finite temperature ${}^{87}$Sr ${}^1{S}_0$ ($F=9/2$) atomic clock in a magic wavelength optical lattice are presented.

11 pages, 9 figures. Physical Review A (in press)

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