Quantum Engineering for Compactly Localized States in Disordered Lieb Lattices

Explore quantum engineering techniques for compactly localized states in disordered Lieb lattices in this 57-minute lecture by Rudo Roemer from PCS Institute for Basic Science. Delve into the blending of ordering within uncorrelated disorder potentials in 3D Lieb lattices, examining how it preserves macroscopic degeneracy of compact localized states and yields unconventional combinations of localized and delocalized phases. Investigate the process of reintroducing translation invariance by ordering the disorder, and analyze the resulting spectral structure and eigenstate features. Follow the step-by-step restoration of order, including the creation of binary disorder, reordering of randomized checkerboards, and realignment of checkerboard values. Examine the influence of additional random impurities on order restoration and discover how sub-families of states are projected upon degenerate compact states while others are localized in perturbed sites. Gain insights into this strategy's implementation in 3D Lieb models and its potential applications in quantum storage and memory.