Table 1 Third-order wave-mixing nonlinearities

From: Multidimensional terahertz probes of quantum materials

Signal

Dependence

(ωτ, ωt)

Two-Quantum (2Q)

\({E}_{A}^{2}{E}_{B}^{* }{e}^{i{\omega }_{0}(2\tau +t)}\)

(2ω0, ω0)

Non-Rephasing (NR)

\({E}_{A}| {E}_{B}{| }^{2}{e}^{i{\omega }_{0}(\tau +t)}\)

(ω0, ω0)

Pump-Probe (PP)

\(| {E}_{A}{| }^{2}{E}_{B}{e}^{i{\omega }_{0}t}\)

(0, ω0)

Rephasing (R)

\({E}_{A}^{* }{E}_{B}^{2}{e}^{i{\omega }_{0}(t-\tau )}\)

(-ω0, ω0)

Third-Harmonic 1 (3H1)

\({E}_{A}^{2}{E}_{B}{e}^{i{\omega }_{0}(3t+2\tau )}\)

(2ω0, 3ω0)

Third-Harmonic 2 (3H2)

\({E}_{A}{E}_{B}^{2}{e}^{i{\omega }_{0}(3t+\tau )}\)

(ω0, 3ω0)