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Related Experiment Video

Updated: Dec 20, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Properties of quasiperiodic functions.

Johannes Roth¹

¹Institute for Functional Matter and Quantum Technologies (FMQ), University of Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|March 31, 2017

Summary

Quasiperiodic functions, useful for quasicrystals, are explored, focusing on laser-generated potentials and their properties. This study details their interrelations, extremal points, and local isomorphisms.

Area of Science:

Condensed matter physics
Mathematical physics

Background:

Quasiperiodic tilings are essential for describing quasicrystal properties.
Quasiperiodic functions have garnered recent significant interest.

Purpose of the Study:

To present different types of quasiperiodic functions and their interrelations.
To investigate quasiperiodic potentials generated by laser beams and their variability.
To address the distribution of extremal points and local isomorphisms of quasiperiodic functions.

Main Methods:

Analysis of quasiperiodic function types.
Investigation of laser-generated quasiperiodic potentials.
Study of extremal point distributions.
Examination of local isomorphisms.

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Main Results:

Detailed presentation of various quasiperiodic functions and their connections.
Characterization of quasiperiodic potentials from laser beams.
Insights into the distribution of extremal points.
Understanding of local isomorphisms in quasiperiodic functions.

Conclusions:

Quasiperiodic functions offer a valuable framework for understanding complex systems.
Laser-generated potentials exhibit unique properties relevant to quasicrystal research.
Further exploration of extremal points and isomorphisms deepens the understanding of quasiperiodicity.