Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Phase Transitions and Critical Phenomena

DY 31.7: Talk

Friday, March 30, 2012, 11:15–11:30, MA 004

Dynamical quantum phase transitions for quenches in the transverse field Ising model — •Markus Heyl¹, Anatoli Polkovnikov², and Stefan Kehrein¹ — ¹Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München — ²Department of Physics, Boston University

We study quenches of the magnetic field in the transverse field Ising model. For quenches across the quantum critical point, the boundary partition function in the complex temperature-time-plane shows lines of Fisher zeros that intersect the time axis, indicating non-analytic real-time evolution in the thermodynamic limit (analogous to well-known thermodynamic phase transitions). We characterize these dynamical quantum phase transitions through topological quantum numbers and show that the dynamic behavior generates a new emergent non-equilibrium energy scale. We argue that this behavior is expected to be generic for interaction quenches across quantum critical points in other models as well.