AtomSurfaceVdW#
- class AtomSurfaceVdW(atom, surfaceMaterial=None)[source]#
Calculates atom-surface Van der Waals interaction.
Energy of atom state \(|i\rangle\) at distance \(z\) from the surface of material is offseted in energy by \(V_{\rm VdW}\) at small distances \(z\ll\rm{min}(\lambda_{i,j})\) , where \(\lambda_{i,j}\) are the wavelengths from atom state \(|i \rangle\) to all strongly-coupled states \(j\) , due to (unretarded) atom-surface interaction, also called Van der Waals interaction. The interaction potential can be expressed as
\(V_{\rm VdW} = - \frac{C_3}{z^3}\)
This class calculates \(C_3\) for individual states \(|i\rangle\).
See example atom-surface calculation snippet.
- Parameters:
atom (
AlkaliAtom
orDivalentAtom
) – specified Alkali or Alkaline Earth atom whose interaction with surface we want to explorematerial (from
arc.materials
) – specified surface material
Note
To find frequecy shift of a transition \(|\rm a \rangle\rightarrow |\rm b \rangle\), one needs to calculate difference in \(C_3\) coefficients obtained for the two states \(|\rm a\rangle\) and \(|\rm b\rangle\) respectively. See example TODO (TO-DO)
Calculate#
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Contribution to \(C_3\) of \(|n_1, \ell_1, j_1\rangle\) state due to dipole coupling to \(|n_2, \ell_2, j_2\rangle\) state. |
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Van der Waals atom-surface interaction coefficient for a given state (\(C_3\) in units of \(\mathrm{J}\cdot\mathrm{m}^3\) ) |