Database of Dynamical Symmetries and Selection Rules in Nonlinear Optics

This webpage is devoted for setting a database for dynamical symmetries and their associated selection rules in nonlinear optics (a recent review on the topic).

Researchers are very welcome to contribute to the database by filling the following form:

Add to Database

Observable	Symmetry Type	Selection Rule	exp/th	Reference	Name	Email
HHG	time-reversal symmetry, T, applicable with laser fields that uphold E(t)=E(-t), or up to a phase, E(t-t0)=E(-(t-t0)).	Linearly polarized harmonic emission	th	Neufeld et al., Nature Communications 10, 405 (2019)	Ofer Neufeld	Email hidden; Javascript is required.
HHG	Dynamical rotation symmetry (C_N,M) Polarization rotation by 2πM/N + time translation by T/N leaves the field unchanged.	(±) circularly polarized Nq±M harmonics (integer q, all others forbidden)	th	Neufeld et al., Nature Communications 10, 405 (2019)	Matan Even Tzur	Email hidden; Javascript is required.
Photocurrent	a combined effect of time-reversal and mirror plane (as appears in co-rotating w-2w laser fields). can be written as T*sigma.	only transverse photocurrent to the mirror plane arises.	th	Neufeld et al., Phys. Rev. Lett. 127, 126601 (2021)	Ofer Nufeld	Email hidden; Javascript is required.
Observable	Symmetry Type	Selection Rule	exp/th	Reference	Name	Email