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arXiv · 2506.03963

Flat-band compactons in a two-dimensional driven-dissipative Lieb lattice

Seth Lovett·Paul M. Walker·Anthony Ellul·Edmund Clarke·Maurice S. Skolnick·Dmitry N. Krizhanovskii
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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.

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Seth Lovett, Paul M. Walker, Anthony Ellul, Edmund Clarke, Maurice S. Skolnick, Dmitry N. Krizhanovskii. 2025-06-04. Flat-band compactons in a two-dimensional driven-dissipative Lieb lattice. https://arxiv.org/abs/2506.03963

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