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Quantum many-body systems in one spatial dimension are unique in nature: Along a line, particles cannot circumvent each other and the effect of their mutual interactions and correlations is resultingly enhanced. This constrained behavior is at the heart of the understanding of the dynamics of these systems, for example of their thermalization at long times after being initially quenched out of equilibrium. This finds applications in many research fields including, for instance, the physics of quantum fluids of matter and light.
Quantum-SOPHA (Quantum Simulators for One-Dimensional Systems with Photons and Atoms) is a French scientific project whose objectives are to build two quantum simulators of the Lieb-Liniger Hamiltonian describing a one-dimensional Bose gas with contact interactions, either with hard-wall or periodic boundary conditions, and then to investigate their near-equilibrium dynamics as well as their strongly out-of-equilibrium dynamics following quantum quenches. The two systems envisaged consist of an ultracold atomic vapor trapped on an atom chip and of a quantum fluid of light propagating in a nonlinear medium.
Funded by ANR (Agence Nationale de la Recherche) under Grant No. ANR-21-CE47-0009, Quantum-SOPHA is led by physicists working in the institutions listed below.
Theory:
Université Grenoble Alpes & CNRS
Experiment:
Université Sorbonne Paris Nord & CNRS
Sorbonne Université, École Normale Supérieure, Collège de France & CNRS