During the fellowship, the Q-FLIGHTS project combined advanced optical experiments and theoretical modeling to investigate quantum turbulence in two-dimensional polariton fluids. The work progressed along two complementary lines:
1. Experimental progress
The project developed and demonstrated a novel detection technique based on ultrafast nonlinear optics (Difference Frequency Generation) capable of capturing single-shot, two-dimensional images of photon statistics with picosecond resolution. This technique allows for visualization of light fluid dynamics, including vortex configurations. A key achievement was the experimental demonstration and theoretical validation of the method’s ability to preserve and resolve bidimensional photon statistics, a crucial step for probing turbulent dynamics in quantum fluids.
Importantly, during the project we identified that the measured photon statistics were strongly influenced by the temporal mode structure of the nonlinear amplifier. This effect limited the detection fidelity in certain cases. Through a detailed theoretical analysis, we developed a strategy to circumvent this limitation by projecting the signal onto a well-defined temporal mode basis. This approach significantly improved the accuracy and robustness of the measurements, making the detection platform suitable for high-fidelity, real-time statistical analysis of quantum fluids.
2. Theoretical and numerical modeling
In parallel, the project established a robust model of polariton fluid dynamics under counterpropagating laser pumping. Using advanced numerical simulations, four distinct dynamical regimes were identified: linear, solitonic, turbulent, and superfluid. Each regime was characterized by its density patterns, phase structure, and temporal coherence. The turbulent regime, in particular, was shown to emerge spontaneously under specific pumping conditions and was mapped in detailed phase diagrams as a function of key system parameters
The combination of experimental innovation and theoretical insight opens new perspectives for studying out-of-equilibrium quantum systems. The project’s results are compatible with current semiconductor platforms and provide a roadmap for future studies of vortex statistics, energy cascades, and dynamical instabilities in quantum fluids of light.