arc.alkali_atom_functions.AlkaliAtom.getTransitionRate#

AlkaliAtom.getTransitionRate(n1: int, l1: int, j1: float, n2: int, l2: int, j2: float, temperature: float = 0.0, s: float = 0.5) → float[source]#

Transition rate due to coupling to vacuum modes (black body included)

Calculates transition rate from the first given state to the second given state \(|n_1,l_1,j_1\rangle \rightarrow |n_2,j_2,j_2\rangle\) at given temperature due to interaction with the vacuum field. For zero temperature this returns Einstein A coefficient. For details of calculation see Ref. [1] and Ref. [2]. See Black-body induced population transfer example snippet.

Parameters:

  • n1 (int) – principal quantum number

  • l1 (int) – orbital angular momentum

  • j1 (float) – total angular momentum

  • n2 (int) – principal quantum number

  • l2 (int) – orbital angular momentum

  • j2 (float) – total angular momentum

  • [temperature] (float) – temperature in K

  • s (float) – optional, total spin angular momentum of state. By default 0.5 for Alkali atoms.

Returns:

transition rate in s \({}^{-1}\) (SI)

Return type:

float

References