Flat-band compactons in a two-dimensional driven-dissipative Lieb lattice
Abstract
We experimentally study the effect of inter-particle interactions on the flat-band states of a two-dimensional Lieb lattice with drive and dissipation. Exploiting the giant nonlinear interactions of exciton polaritons we observe compactly localised solitons (compactons) embedded within the continuum of propagating state bands -- a form of nonlinear bound state in the continuum (BIC). The driven-dissipative nature of the system leads to a sudden self-localisation into the compacton state above a threshold power. The experimental results agree well with numerical simulations. These results have implications for the physics of interacting quantum particles in flat-band systems and for generation of quantum-correlated light and spatially multiplexed coherent information transport.
Keywords
Cite
@article{arxiv.2506.03963,
title = {Flat-band compactons in a two-dimensional driven-dissipative Lieb lattice},
author = {Seth Lovett and Paul M. Walker and Anthony Ellul and Edmund Clarke and Maurice S. Skolnick and Dmitry N. Krizhanovskii},
journal= {arXiv preprint arXiv:2506.03963},
year = {2025}
}