Multi-scale dynamical symmetries and selection rules in nonlinear optics

• URL: http://arxiv.org/abs/2109.01941v1
• Date: Sat, 4 Sep 2021 22:07:38 GMT
• Title: Multi-scale dynamical symmetries and selection rules in nonlinear optics
• Authors: Gavriel Lerner, Ofer Neufeld, Liran Hareli, Georgiy Shoulga, Eliayu Bordo, Avner Fleischer, Daniel Podolsky, Alon Bahabad and Oren Cohen
• Abstract summary: We formulate the first general theory that describes the macroscopic dynamical symmetries of an EM vector field. We demonstrate an example of multi-scale selection rules experimentally in the framework of high harmonic generation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Symmetries and their associated selection rules are extremely useful in all fields of science. In particular, for system that include electromagnetic (EM) fields interacting with matter, it has been shown that both of symmetries of matter and EM field's time-dependent polarization play a crucial role in determining the properties of linear and nonlinear responses. The relationship between the system's symmetry and the properties of its excitations facilitate precise control over light emission and enable ultrafast symmetry-breaking spectroscopy of variety of properties. Here. we formulate the first general theory that describes the macroscopic dynamical symmetries (including quasicrystal-like symmetries) of an EM vector field, revealing many new symmetries and selection rules in light-matter interactions. We demonstrate an example of multi-scale selection rules experimentally in the framework of high harmonic generation (HHG). This work waves the way for novel spectroscopic techniques in multi-scale system as well as for imprinting complex structures in EUV-X-ray beams, attosecond pulses, or the interacting medium itself.

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