Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
  • 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference
  • OSA Technical Digest (Optica Publishing Group, 2019),
  • paper cg_p_2

Multi-Scale Symmetries and Selection Rules in High Harmonic Generation

Not Accessible

Your library or personal account may give you access

Abstract

Symmetry-based analysis is very useful in many fields of science. In the case of time-dependent systems, the symmetries of interest are dynamical, and are maintained during the system’s evolution in time. Interestingly, such symmetries may manifest over several length scales, e.g. both microscopically and macroscopically. For example, in high harmonic generation (HHG), micro-scale dynamical symmetries (DSs) yield selection rules that forbid some harmonic orders and determine the polarizations of the allowed harmonics [1], as was formulated recently in a consistent group theory [2]. Macroscopically, DSs of the wave equation may induce selection rules with respect to phase-matching conditions and conservation of angular or linear momentum [3]. However, the DSs of these different length scales are generally thought to be non-interacting, and have so far only been described separately. Here we formulate and explore plethora of multi-scale dynamical symmetries (MSDS), where the symmetry operations involve both microscopic and macroscopic length scales. We derive all possible MSDS operations and their resulting selection rules in HHG, and experimentally demonstrate non-trivial selection rules of the new theory.

© 2019 IEEE

PDF Article
More Like This
General Formalism for Dynamical Symmetries and Selection Rules in High Harmonic Generation

Ofer Neufeld and Oren Cohen
JTh2A.57 CLEO: Applications and Technology (CLEO:A&T) 2017

General Group Theory Derivation for Selection Rules in Nonlinear Light-Matter Interactions

Gavriel Lerner, Ofer Neufeld, Eliayu Bordo, Liran Hareli, Georgiy Shoulga, Alon Bahabad, Daniel Podolsky, Avner Fleischer, and Oren Cohen
NM2B.7 Nonlinear Optics (NLO) 2019

Selection rules by multi-scale dynamical symmetries & symmetries in synthetic dimensions

Neufeld Ofer, Gavriel Lerner, Matan Even Tzur, and Oren Cohen
LTu6E.1 Laser Science (LS) 2021

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved