Principles Of Nonlinear Optical Spectroscopy A Practical Approach Or Mukamel For Dummies Fixed Link
Don’t draw them by hand. Use software (like Spectron, or even Python with NumPy). Memorize the top two diagrams (ground state bleach and stimulated emission) and fake the rest.
Mukamel does almost everything in . Standard quantum mechanics uses vectors ($|\psi\rangle$) to describe states. Liouville space uses density matrices ($\rho$) to describe populations and coherences. Don’t draw them by hand
The molecule’s electrons are like the water. When you apply an electric field (laser light), the electrons polarize. In the , the polarization (P) is proportional to the field (E): ( P = \chi^(1) E ). Mukamel does almost everything in
"The third-order response function (R^(3)(t_1, t_2, t_3)) is a four-point correlation function." What "Fixed" says: Delay (t_1) (coherence time) measures how fast your quantum beats dephase. Delay (t_2) (population time) measures how long excited states live. Delay (t_3) (rephasing time) measures the homogeneous linewidth. The molecule’s electrons are like the water
[ R^(3)(t_1, t_2, t_3) = \left(\fraci\hbar\right)^3 \langle [[[\mu(t_3+t_2+t_1), \mu(t_2+t_1)], \mu(t_1)], \mu(0)] \rangle ]