Our research is devoted to the computational study of correlated systems, mostly relying on exact simulations and tensor network algorithms. We address two main scenarios: many-body quantum systems, and turbulent flows.

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Quantum Systems of Many Interacting Particles

Correlations in many-body quantum systems lead to spectacular states of matter such as insulating phases, magnetic order, and superconductivity. We rely on simple yet rich models, and on powerful tensor network algorithms, to analyze these states in and out of equilibrium. 

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Quantum Mechanics for Fluid Dynamics

We develop tensor network and quantum computing algorithms to simulate partial differential equations, with focus on fluid dynamics. Advantages over standard numerical methods are assessed. This work opens the door for performing computational fluid dynamics on quantum hardware.