Quantum Shock Waves: hydrodynamics instabilities in quantum systems
University of Chicago
Lundi 10/12/2007, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Transport in low-dimensional quantum systems is controlled by Fermi statistics or interactions. The nature of these forces causes transport to be non-linear. In its turn nonlinear effects develop into hydrodynamic instabilities. In a clean quantum many-body system any smooth density packet develop shock-wave type singularities.
I present a theory which describes Fermi systems in terms of hydrodynamics modes, where nonlinear corrections and singularities they cause are taken into account.