rydiqule.atom_utils.calc_kappa

rydiqule.atom_utils.calc_kappa(omega: float, dipole_moment: float, density: float) → float

Calculates the kappa constant needed for observable calculations.

The value is computed with the following formula Eq. 5 of Meyer et. al. PRA 104, 043103 (2021)

\[\kappa = \frac{\omega n \mu^2}{2c \epsilon_0 \hbar}\]

Where \(\omega\) is the probing frequency, \(\mu\) is the dipole moment, \(n\) is atomic cloud density, \(c\) is the speed of light, \(\epsilon_0\) is the dielectric constant, and \(\hbar\) is the reduced Plank constant.

Parameters:

• omega (float) – Atomic transition frequency, in rad/s

• dipole_moment (float) – Dipole moment of the atomic transition, in C*m

• density (float) – The atomic number density, in m^(-3)

Returns:

The value of kappa, in (rad/s)/m

Return type:

float