Regensburg 2016 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 82: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 2
TT 82.8: Vortrag
Donnerstag, 10. März 2016, 18:15–18:30, H22
Filling fraction quantum quenches and the arctic circle — •Jean-Marie Stephan1, Jacopo Viti1, Jerome Dubail2, Nicolas Allegra2, and Masud Haque1 — 1Max Planck Institut für Physik Komplexer Systeme, Noethnitzer Str. 38 D01187 Dresden, Germany — 2CNRS & IJL-UMR 7198, Universite de Lorraine, BP 70239, F-54506 Vandoeuvre-les-Nancy Cedex, France
I consider a simple non-equilibrium problem, where a critical one-dimensional system is prepared in a state with two different densities on the left and on the right, and let evolve with a Hamiltonian that conserves the number of particles. For free systems a lot can, and has been understood by making use of a semiclassical picture, in which particles carrying a momentum k propagate ballistically with velocity v(k). Generalization to interacting systems is very much an open problem. I will discuss attempts at understanding such dynamics using field theory. A possible strategy is to study the behavior in imaginary time, the real time dynamics being recovered by performing the Wick rotation. I will show that all degrees of freedom outside a certain region may freeze in imaginary time, contrary to naive expectations. This behavior is analogous to the celebrated "arctic circle" phenomenon found in the study of two-dimensional classical dimer or vertex models. Such imaginary time pictures can be used to make predictions about the behavior of correlation functions, entanglement entropies, or return probabilities after the quench.