TY - GEN
T1 - Multi-scale symmetries and selection rules in high harmonic generation
AU - Lerner, Gavriel
AU - Hareli, Liran
AU - Shoulga, Georgiy
AU - Neufeld, Ofer
AU - Bordo, Eliyahu
AU - Bahabad, Alon
AU - Cohen, Oren
N1 - Publisher Copyright:
© 2019 IEEE
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85084525569&partnerID=8YFLogxK
M3 - 会议稿件
AN - SCOPUS:85084525569
SN - 9781728104690
T3 - Optics InfoBase Conference Papers
BT - The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019
PB - Optica Publishing Group (formerly OSA)
T2 - The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019
Y2 - 23 June 2019 through 27 June 2019
ER -