The dipole force on a Rydberg atom in the facilitation regime causes a short-time dephasing rate gamma_perp/Omega = (nu^2/8)(Delta/Omega)^2(sigma/x_f)^2[1 + (x_f/sigma)^4(xi/Omega)^2], derived analytically and matching numerics.
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Dephasing in Rydberg Facilitation Due to State-Dependent Dipole Forces
The dipole force on a Rydberg atom in the facilitation regime causes a short-time dephasing rate gamma_perp/Omega = (nu^2/8)(Delta/Omega)^2(sigma/x_f)^2[1 + (x_f/sigma)^4(xi/Omega)^2], derived analytically and matching numerics.