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DY: Fachverband Dynamik und Statistische Physik

DY 7: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 1 (joint session TT/ DY)

DY 7.11: Talk

Monday, March 16, 2015, 12:30–12:45, H 0104

First order dynamical phase transitions — •Elena Canovi¹, Philipp Werner², and Martin Eckstein¹ — ¹Max Planck Research Department for Structural Dynamics, University of Hamburg (CFEL), Building 99, Luruper Chaussee 149, 22761 Hamburg, Germany — ²Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland

Recently, dynamical phase transitions have been identified based on the non-analytic behavior of the Loschmidt echo in the thermodynamic limit [1]. By introducing conditional probability amplitudes, we show how dynamical phase transitions can be further classified, both mathematically, and potentially in experiment. This leads to the definition of first-order dynamical phase transitions. Furthermore, we develop a generalized Keldysh formalism which allows to use nonequilibrium dynamical mean-field theory to study the Loschmidt echo and dynamical phase transitions in high-dimensional, non-integrable models. We find dynamical phase transitions of first order in the Falicov-Kimball model and in the Hubbard model.

[1] Heyl et al., Phys. Rev. Lett. 110, 135704 (2013).