Polariton condensation in $S$- and $P$-flatbands in a two-dimensional Lieb lattice

TL;DR

This paper demonstrates selective exciton-polariton condensation into flatbands of a 2D Lieb lattice, revealing detailed mode patterns and emphasizing the potential for simulating complex Hamiltonians with polariton lattices.

Contribution

It reports the first observation of polariton condensation in both S- and P-flatbands of a 2D Lieb lattice, with accurate mode pattern reproduction and insights into flatband physics beyond tight-binding models.

Findings

Selective condensation into S- and P-flatbands achieved.

Real space mode patterns match Bloch mode calculations.

Highlights potential for Hamiltonian emulation with polariton lattices.

Abstract

We study the condensation of exciton-polaritons in a two-dimensional Lieb lattice of micropillars. We show selective polariton condensation into the flatbands formed by S and P$_{x;y}$ orbital modes of the micropillars under non-resonant laser excitation. The real space mode patterns of these condensates are accurately reproduced by the calculation of related Bloch modes of S- and P-flatbands. Our work emphasizes the potential of exciton-polariton lattices to emulate Hamiltonians of advanced potential landscapes. Furthermore, the obtained results provide a deeper inside into the physics of flatbands known mostly within the tight-binding limit.