Abstract
Quantum critical points usually exhibit remarkable scale symmetries, which play a paramount role in our understanding of strongly interacting quantum matter. If, in addition, many-body systems are Galileo invariant, then strong coupling critical points can further exhibit dynamical conformal symmetries.
Such dynamic conformal symmetries naturally appear in a range of atomic quantum gases as well as in condensed matter systems near Lifshitz transitions. In this talk, I will illustrate various dynamic consequences of the SO(2,1) conformal symmetry in hydrodynamics. Especially, I will focus on the intimate relations between symmetry, geometry and entropy production. The entropy production rate is also employed to measure to what extent the conformal symmetry is broken when deviating from strong coupling fixed points.
Anyone interested is welcome to attend.