rydiqule.atom_utils.calc_eta

rydiqule.atom_utils.calc_eta(omega: float, dipole_moment: float, beam_area: float) → float

Calculates the eta constant needed from some experiment calculations

The value is computed with the following formula Eq. 7 of Meyer et. al. PRA 104, 043103 (2021)

\[\eta = \sqrt{\frac{\omega \mu^2}{2 c \epsilon_0 \hbar A}}\]

Where \(\omega\) is the probing frequency, \(\mu\) is the dipole moment, \(A\) is the beam area, \(c\) is the speed of light, \(\epsilon_0\) is the dielectric constant, and \(\hbar\) is the reduced Plank constant.

Parameters:

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

• dipole_moment (float) – The atomic transition dipole moment, in C*m

• beam_area (float) – The cross-sectional area of the beam, in m^2

Returns:

The value of eta, in root(Hz)

Return type:

float