Séminaire du LPTMS: Jacopo De Nardis (Ghent University)


11:00 - 12:00

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Universalities of transport in quantum and classical chains: from diffusion to KPZ dynamics

Jacopo De Nardis (Ghent University)

Finding a theoretical framework to explain how phenomenological transport laws on macroscopic scales emerge from microscopic deterministic dynamics poses one of the most significant challenges of condensed matter and statistical physics. Recently there has been a flood of new numerical and analytical results in the transport theory of quantum and classical many-body1D Hamiltonian systems, both integrable and not. I will provide a general framework to understand the main classes of transport observed: diffusion, super-diffusion and logarithmic corrections to diffusion. I will review how diffusive spreading is generically present in integrable chains and how KPZ dynamics emerges in both integrable and non-integrable rotationally invariant magnets.

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