This page contains all the news related to my Marie Skłodowska-Curie Action on Topological Effects in Bosonic LAttices (TEBLA).

The project was funded under the European Union's Horizon 2020 research and innovation programme and conducted between 1st June 2021 and 31st May 2023.

Topology is a branch of mathematics that investigates geometric shapes that withstand deformation, like a coffee mug that retains the hole in its handle no matter how you deform it. In the last few decades, topology has been successfully applied to materials. "Topologically protected" electrons have led to topological insulators that are insulating on the inside and conducting on the outside, where electrons resist impediments to their flow. Recently, analogous phenomena have been explored with photons. The project studied emergent topological effects in photonic lattices seeking to unveil novel lasing phenomena and topological fluids of light. Specifically, the research focussed on the exploration of topology and quantum geometry in the context of non-Hermitian bosonic systems, in particularly nanoplasmonic lattice systems. The project analysed the existence and behaviour of bound states in the continuum (BICs) and their interaction with the geometry and the non-Hermitian losses in plasmonic lattices. Additionally, the project investigated the potential of inducing topological transitions in the lasing regime of these systems. The significance of this research lies in its potential impact on various technological and scientific domains. The comprehension and the control of topological nanoplasmonic lattice systems can lead to the development of highly efficient nanolasers and ultrasensitive sensors. Such advancements have far-reaching implications, revolutionizing fields such as communication or environmental monitoring. Furthermore, the exploration of topological phenomena in plasmonic lattices opens up the way for topological photonics, offering robust and efficient means of information transport and processing. Advancements in these areas hold the promise of improving the quality of life, driving economic growth, and promoting sustainable and innovative technologies.

The overall objectives of the project were twofold:

a) Investigate models of interacting bosons in a lattice with non-trivial quantum geometry.

b) Examine the effects of topology and quantum geometry on non-Hermitian bosonic systems, particularly nanoplasmonic lattice systems, with a focus on their lasing properties.

In conclusion, this project aimed at advancing our understanding of how quantum geometry influences the behaviour of interacting bosonic systems in a lattice, with implications for coherence and correlations in a diverse range of condensed matter and quantum materials. Moreover, the study endeavours to expand our knowledge of topological and quantum phenomena in nanoplasmonic lattice systems, opening up opportunities for transformative technological innovations and contributing to the progress of fundamental research in condensed matter physics.