Programme

P.4 -- Poster, ANSWCCMS-2023

Date: Tuesday, 7 November 2023

Time: 13:00 - 14:30

Compact Localized States in Electric Circuit Flatband Lattices

Yeongjun Kim

Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon, Korea

We generate compact localized states (CLSs) in an electrical diamond lattice, comprised of only capacitors and inductors, via local driving near its flatband frequency. We compare experimental results to numerical simulations and find very good agreement. We also examine the stub lattice, which features a flatband of a different class where neighboring compact localized states share lattice sites. We find that local driving, while exciting the lattice at that flatband frequency, is unable to isolate a single compact localized state due to their non-orthogonality. Finally, we introduce lattice nonlinearity and showcase the realization of nonlinear compact localized states in the diamond lattice. We induce an instability in the nonlinear CLS when it is shifted into resonance with a dispersive (optical) band. Our findings pave the way of applying flatband physics to complex electric circuit dynamics.

Presenter: Yeongjun Kim