Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 83: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems I

TT 83.10: Talk

Thursday, April 3, 2014, 12:15–12:30, HSZ 03

A DMFT approach to dynamical quantum phase transitions. — •Elena Canovi and Martin Eckstein — Max Planck Research Department for Structural Dynamics, University of Hamburg (CFEL), Building 99, Luruper Chaussee 149, 22761 Hamburg, Germany

Recently, dynamical quantum phase transitions have been identified with non-analytic behavior of the Loschmidt echo in the thermodynamic limit (Heyl et al., Phys. Rev. Lett. 110 135704 (2013)), in analogy to non-analytic behavior of the free energy at a thermal phase transition. In this talk, we develop a formalism to obtain the Loschmidt echo within nonequilibrium dynamical mean-field theory, by mapping the lattice model to an impurity problem for which the time evolution is dictated by different Hamiltonians on the upper and lower real branches of the Keldysh contour. This opens the possibility of studying dynamical quantum phase transitions for the Hubbard model and related models in large dimensions.