Dyn1D

The complexity of N-body quantum systems growsı̂t exponentially with the number of particles, making their simulation on a classical computer unrealistic. Faced with this difficulty, the scientists in this project will perform analog quantum simulations, using experimental platforms that realize a particular N-body quantum system. Among N-body systems, one-dimensional systems are particularly interesting. Indeed, not only are they present in real materials such as magnetic spin chaı̂nes, but they also have the exceptional feature of being able to be accurately described by theoretical models and numerical techniques, in many situations, generally corresponding to equilibrium states. This makes it possible to validate quantum simulators, before using them to explore physics that is not (yet) accessible by theory, such as non-equilibrium dynamics. This is why the teams propose to carry out quantum simulations of the non-equilibrium dynamics of one-dimensional systems.

The consortium combines the efforts of experimental and theoretical groups. There are six quantum simulators: five ultra-cold atom platforms and one light-fluid platform.

Finally, new theoretical tools will be developed to validate the simulators and also to develop numerical methods and theories capable of overcoming the “exponential wall” of N-body quantum physics in specific cases.