This book is a wide-ranging survey of the physics of out-of-equilibrium systems of correlated electrons, ranging from the theoretical, to the numerical, computational and experimental aspects. It starts from basic approaches to non-equilibrium physics, such as the mean-field approach, then proceeds to more advanced methods, such as dynamical mean-field theory and master equation approaches. Lastly, it offers a comprehensive overview of the latest advances in experimental investigations of complex quantum materials by means of ultrafast spectroscopy.
Chapter I Prof. Enrico Arrigoni Institut f?r Theoretische Physik Technische Universit?t Graz Petersgasse 16, A-8010 Graz, Austria: Master equation versus Keldysh Green's functions for correlated quantum systems out of equilibrium (i) Master Equation, Closed vs open quantum systems. System bath and reduced density matrix. (ii) Quantum operations, Kraus Operators, Markovian assumption, Lindblad master equation, dissipation. (iii) Solution methods for the many body case. Superfermion representation. (iv) Relation with Keldysh Green's functions. When is a bath Markovian? (v) How to treat the non Markovian case. Application to correlated quantum impurities and DMFT.
Chapter II Prof. Massimo Capone SISSA Via Bonomea 265, I-34136 Trieste Italy Towards an understanding of superconductors and correlated materials out-of-equilibrium: mean-field approaches (i) Equilibrium Methods for Strongly Correlated Electrons: the Gutzwiller approxi
mation and Dynamical Mean-field Theory. (ii) The non-equilibrium Gutzwiller approximation. (iii) Strongly Correlated Systems in a constant Electric field: Dissipation and Dielectric Breakdown. (iv) Non-equilibrium dynamics of Superconductors. BCS superconductors, s-wave, d-l3+
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