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Dynamical quantum phase transitions for quenches in the transverse field Ising model
Markus Heyl (LMU)
11.01.2012 at 12:45
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 and time scale. We argue that this behavior is expected to be generic for interaction quenches across quantum critical points in other models as well.
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