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Mardi 8 janvier 2019 - 14:00

Hydrodynamic diffusion and super-diffusion in integrable chains

Jacopo De Nardis (Université de Gand)

par Revaz Ramazashvili - 8 janvier 2019

In the past two years a new theory to describe the non-equilibrium dynamics of inhomogeneous one-dimensional systems at large scales has emerged : the so-called Generalised hydrodynamics. This is an emergent hydrodynamics theory valid at Euler scales that accounts for quasiparticle propagation in strongly interacting systems such as interacting bosons (also in a trap) and lattice models such as the Fermi-Hubbard chain. I will show how to extend the theory beyond Euler scales and also to account for diffusive dynamics and local entropy production. These dissipative terms in the theory arise due to two-body scatterings of the effective quasiparticles of the model. Moreover, I will show how with some particular choice of Hamiltonian interactions, the diffusion constant relative to the spin or charge degrees of freedom diverges, signalling the presence of anomalous super-diffusive spin and charge transport.

Post-scriptum :

contact : Z. Ristivojevic