Quantum methods for stochastic dynamics
These lectures will take place on Feb. 3rd, 4th and 5th, 2016, from 13:30 till 15:00 and 15:30 till 17:30 in room K206 of the Yukawa Institute, Kyoto University. See here.
Lecture notes in preparation
Stochastics dynamics. Master equation, Fokker-Planck, Langevin. Itô vs. Stratonovitch. Martin-Siggia-Rose-Janssen-De Dominicis path integral formulation.
Reversibility, irreversibility, entropy production, Gallavotti-Cohen theorem, linear response, Fluctuation-Dissipation theorem. Supersymmetry and its uses in classical stochastics dynamics.
Many-body problems and quantum spin chains, interacting fermions and interacting bosons. Kinetic Ising model.
Nonequilibrium phase transitions and critical phenomena. Field theoretic methods. Doi-Peliti.
Fluctuating hydrodynamics of diffusive systems. WKB method. The Simple Symmetric Exclusion Process.
Dynamical large deviations in classical systems and quantum phase transitions.