Multi-scale symmetries and selection rules in high harmonic generation

Gavriel Lerner, Liran Hareli, Georgiy Shoulga, Ofer Neufeld, Eliyahu Bordo, Alon Bahabad, Oren Cohen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publicationThe European Conference on Lasers and Electro-Optics, CLEO_Europe_2019
PublisherOSA - The Optical Society
ISBN (Electronic)9781557528209
StatePublished - 2019
EventThe European Conference on Lasers and Electro-Optics, CLEO_Europe_2019 - Munich, Germany
Duration: 23 Jun 201927 Jun 2019

Publication series

NameOptics InfoBase Conference Papers
VolumePart F140-CLEO_Europe 2019

Conference

ConferenceThe European Conference on Lasers and Electro-Optics, CLEO_Europe_2019
Country/TerritoryGermany
CityMunich
Period23/06/1927/06/19

Fingerprint

Dive into the research topics of 'Multi-scale symmetries and selection rules in high harmonic generation'. Together they form a unique fingerprint.

Cite this