Perttu Luukko & Esa Räsänen
Artists
Perttu Luukko & Esa Räsänen
Postdoctoral Reseacher (PL) and Professor of Physics (ER)
Department of Physics, Tampere University of Technology
Statement
We are two physicists on a quest to find truth and beauty in the world of quantum chaos. In these artworks we demonstrate the interplay between symmetry and complexity in quantum states for a single electron trapped in a nanoscale chaotic system. The quantum states have been computed with a highly efficient solver for the single-particle Schrödinger equation: P. J. J. Luukko and E. Räsänen, Comput. Phys. Comm. 184, 769 (2013).
Artworks
![Image for entry 'The Rise and Fall of the Pentagram'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NjEyMSwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--d717d97d38b5a3515b29ee62bec614f3cd648729%2Fpentagram-rises.jpg&w=1536&q=75)
The question of chaos is central to the correspondence between quantum and classical dynamics. The artwork depicts a recently discovered mechanism of quantum scarring, where perturbing an otherwise symmetric system reveals the paths of classical periodic orbits in the quantum eigenfunctions.
![Image for entry 'Quantum Carpet'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NjEyMiwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--dc696fd23a6e7f88befbd09547fcd5b48ab1e949%2Fquantum-carpet.jpg&w=1536&q=75)
A small variation to one of the simplest quantum model systems creates chaos and intricate detail. The artwork displays 24 high-energy eigenfunctions of a charged particle in a two-dimensional square box with a twist: a constant magnetic field perpendicular to the plane.