Generalized hydrodynamics in 1D Bose gases

Isabelle Bouchoule
Institut d’Optique (France)
ICAP 2022
Monday, Jul 18, 9:55 AM

Generalized hydrodynamics in 1D Bose gases

Hydrodynamics describes long wavelength dynamics, which occurs on time scales long enough so that one can assume local relaxation of the gas. In a chaotic system, the gas is then locally described as a gas at thermal equilibrium, parametrized by three quantities, the local temperature, the local density and the local velocity. The dynamics is then captured by three equations describing the time evolution of these spatially dependent quantities. In an integrable system, the notion of relaxation is still meaningful, the relaxed state being however no longer described by only three numbers but by an infinite number of quantities, or equivalently by a function. The one-dimensional Bose gas with contact interactions is an integrable system and its relaxed state is described by the rapidities distribution. One then derives generalized hydrodynamics equations which describe the time evolution of the spatially dependent rapidity distribution. In this seminar we will present the experimental tests of the generalized hydrodynamic theory.