Laboratoire Kastler Brossel

Universal random matrix behavior of a Fermionic quantum gas

Since its initial use by Wigner in describing heavy atom spectra, random matrix theory (RMT) has found applications and revealed universal laws in diverse physical contexts, from quantum field theory to disordered systems and wireless communications. A particularly compelling app...

Scalable ground-state certification of quantum spin systems via structured noncommutative polynomial optimization

A fundamental challenge in quantum physics is determining the ground-state properties of many-body systems. Whereas standard variational approaches posit a wave-function ansatz and minimize over the possible states expressible by that ansatz, the problem can alternatively be form...