arc.alkali_atom_functions.AlkaliAtom.getBranchingRatio#

AlkaliAtom.getBranchingRatio(jg, fg, mfg, je, fe, mfe, s=0.5)[source]#

Branching ratio for decay from \(\vert j_e,f_e,m_{f_e} \rangle \rightarrow \vert j_g,f_g,m_{f_g}\rangle\)

\(b = \displaystyle\sum_q (2j_e+1)\left(\begin{matrix}f_1 & 1 & f_2 \\-m_{f1} & q & m_{f2}\end{matrix}\right)^2\vert \langle j_e,f_e\vert \vert er \vert\vert j_g,f_g\rangle\vert^2\)

Parameters
  • jg – total orbital, fine basis (total atomic) angular momentum, and projection of total angular momentum for ground state

  • fg – total orbital, fine basis (total atomic) angular momentum, and projection of total angular momentum for ground state

  • mfg – total orbital, fine basis (total atomic) angular momentum, and projection of total angular momentum for ground state

  • je – total orbital, fine basis (total atomic) angular momentum,

  • fe – total orbital, fine basis (total atomic) angular momentum,

  • mfe – total orbital, fine basis (total atomic) angular momentum,

  • state (and projection of total angular momentum for excited) –

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

Returns

branching ratio

Return type

float