Quantum engineering for compactly localized states in disordered Lieb lattices
arXiv:2309.04227 · doi:10.1140/epjb/s10051-024-00745-w
Abstract
Blending ordering within an uncorrelated disorder potential in families of 3D Lieb lattices preserves the macroscopic degeneracy of compact localized states and yields unconventional combinations of localized and delocalized phases -- as shown in Phys.Rev.B 106, 214204 (2022). We proceed to reintroduce translation invariance in the system by further ordering the disorder, and discuss the spectral structure and eigenstates features of the resulting perturbed lattices. We restore order in steps by first (i) rendering the disorder binary -- i.e. yielding a randomized checkerboard potential, then (ii) reordering the randomized checkerboard into an ordered one, and at last (iii) realigning all the checkerboard values yielding a constant potential shift, but only on a sub-lattice. Along this path, we test the influence of additional random impurities on the order restoration. We find that in each of these steps, sub-families of states are projected upon the location of the degenerate compact states, while the complementary ones are localized in the perturbed sites with energy determined by the strength of checkerboard. This strategy, herewith implemented in the 3D Lieb, highlights order restoration as experimental pathway to engineer spectral and states features in disordered lattice structures in the pursuit of quantum storage and memory applications.
References in corpus (32)
- Experimental demonstration of quantum memory for light
- Statistics of energy levels and eigenfunctions in disordered systems
- Observation of a localized flat-band state in a photonic Lieb lattice
- Observation of bound states in Lieb photonic lattices
- Artificial flat band systems: from lattice models to experiments
- Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
- Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
- Experimental observation of bulk and edge transport in photonic Lieb lattices
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Detangling Flat Bands into Fano Lattices
- Compact localized states and flatband generators in one dimension
- Flat Bands Under Correlated Perturbations
- Flat bands, Dirac cones and atom dynamics in an optical lattice
- Unconventional Flatband Line States in Photonic Lieb Lattices
- Anderson localisation in tight-binding models with flat bands
- Chiral Flat Bands: Existence, Engineering and Stability
- Flat band states: disorder and nonlinearity
- Localization of weakly disordered flat band states
- Flatband Engineering of Mobility Edges
- Compact localized states and flat bands from local symmetry partitioning
- Waveguide Bandgap Engineering with an Array of Superconducting Qubits
- Engineering flat electronic bands in quasiperiodic and fractal loop geometries
- Quantum network transfer and storage with compact localized states induced by local symmetries
- New face-centered photonic square lattices with flat bands
- Disorder effects in the two-dimensional Lieb lattice and its extensions
- Localization, phases and transitions in the three-dimensional extended Lieb lattices
- The three-dimensional Anderson model of localization with binary random potential
- Quantum memory in an optical lattice
- Localization properties in Lieb lattices and their extensions
- Unconventional delocalization in a family of 3D Lieb lattices
- Z_N Gauge Theories on a Lattice and Quantum Memory
- Localization and Eigenvalue Statistics for the Lattice Anderson model with Discrete Disorder