Roberto Longo (Università di Roma Tor Vergata)
Title: Operator Algebras, Non-equilibrium Thermodynamics and Conformal
Field Theory
Abstract: We present a model independent, operator algebraic approach to
non-equilibrium quantum thermodynamics within the framework of twodimensional Conformal Field Theory. Two infinite reservoirs in equilibrium
at their own temperatures and chemical potentials are put in contact
through a defect line, possibly by inserting a probe. As time evolves, the
composite system then approaches a non-equilibrium steady state that we
describe. Modular theory, Connes cocycles and Jones index allow a precise
calculations of the expectation values of the stress-energy tensor and of the
current. In particular, we re-obtain recent formulas of Bernard and Doyon.
(Joint work with Stefan Hollands.)