4 papers
Real space decay of flat band projectors from compact localized states
Yeongjun Kim, Sergej Flach, Alexei Andreanov
Flatbands (FB) with compact localized eigenstates (CLS) fall into three main categories, controlled by the algebraic properties of the CLS set: orthogonal, linearly independent, li…
Nematic Phase Transitions in 1D Flat Band Condensates
Yeongjun Kim, Oleg I. Utesov, Alexei Andreanov +2
We investigate the ground-state properties of one-dimensional Gross-Pitaevskii flat-band lattices which are parametrized through their compact localized state (CLS) amplitudes. We…
Realization and characterization of an all-bands-flat electrical lattice
Noah Lape, Simon Diubenkov, L. Q. English +4
We construct an electrical all-bands-flat (ABF) lattice and experimentally generate compact localized states (CLSs) therein. The lattice is a diamond (rhombic) chain and implemente…
Mobility edges and fractal states in quasiperiodic Gross-Pitaevskii chains
Oleg I. Utesov, Yeongjun Kim, Sergej Flach
We explore properties of a Gross-Pitaevskii chain subject to an incommensurate periodic potential, i.e., a nonlinear Aubry-Andre model. We show that the condensate crucially impact…