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1 vote

Dipole term in light-matter interaction

The coupling to the light field is related to your second dipole: an eletromagnetic field of a given frequency $\omega$ will couple two states of the electron that roughly of the order of $\omega$ as ...
Franklin Luis's user avatar
1 vote

Quantum Optics - Output field of Spontaneous Parametric Down-Conversion (SPDC)

Starting from the following equations $$ \begin{align} \frac{\partial b_{s}\left(t\right)}{\partial t}+\frac{\Gamma_{s}}{2} b_{s}\left(t\right) & =-i\kappa_{1}b_{i}^{\dagger}\left(t\right)+\sqrt{\...
ad2004's user avatar
  • 1,175
1 vote

Identity for squeezing spin coherent state

$[S_z,S_+] = S_+$ hence, $S_z.S_+ = S_+.(S_z + 1)$ similarly, $(S_z)^2.S_+ = S_z.S_+.(S_z + 1) = S_+.(S_z + 1)(S_z + 1)$ therefore, $(S_z)^n.S_+ = S_z.S_+.(S_z + 1)^{n-1} = S_+.(S_z + 1)^n$ From this ...
quantumbro's user avatar
1 vote

Identity for squeezing spin coherent state

I believe the $\hbar$ in your S commutation relation is superfluous, as per your source, since it has been absorbed in the definition of t. You then obviously have, power-wise, $$ F(S_z) S_+ = S_+ F(...
Cosmas Zachos's user avatar

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