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Spatiotemporal Symmetries and Energy-Momentum Conservation in Uniform Spacetime Metamaterials
Iñigo Liberal1, Antonio Ganfornina-Andrades1, J Enrique Vázquez-Lozano1
1Department of Electrical, Electronic and Communications Engineering, Institute of Smart Cities (ISC), Public University of Navarre (UPNA), 31006 Pamplona, Spain.
ACS Photonics
|December 23, 2024
Summary
Spacetime metamaterials exhibit continuous spatiotemporal translation symmetry, which, according to Noether
Area of Science:
- Optics and Photonics
- Metamaterials Science
- Theoretical Physics
Background:
- Spacetime metamaterials enable novel light-matter interactions by breaking symmetries.
- Concepts of synthetic motion are explored in these materials.
Purpose of the Study:
- Investigate continuous spatiotemporal translation symmetry in spacetime metamaterials.
- Apply Noether's theorem to understand fundamental conservation laws.
Main Methods:
- Utilized Noether's theorem to analyze symmetry properties.
- Investigated uniform modulation velocity in spacetime metamaterials.
- Examined energy-momentum conservation constraints.
Main Results:
- Demonstrated that spatiotemporal translation symmetry leads to energy-momentum conservation.
- Illustrated how conservation laws restrict light-matter interactions.
- Analyzed pulse collisions within spacetime metamaterials.
Conclusions:
- Energy-momentum conservation in spacetime metamaterials is linked to symmetry.
- Clarified the relationship between these conservation laws and relativistic effects.
- Advanced the fundamental theoretical understanding of spacetime metamaterials.
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