Dynamics of a quantum phase transition in the random Ising model

Details Dynamics of a quantum phase transition in the random Ising model Dynamics of a quantum phase transition in the random Ising model

2006-03-30

arxiv.org/abs/cond-mat/0603814v2

Phys.Rev.B74:064416,2006

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages and 2 figures; improved presentation

Scientific paper

10.1103/PhysRevB.74.064416

A quantum phase transition from paramagnetic to ferromagnetic phase is driven by a time-dependent external magnetic field. For any rate of the transition the evolution is non-adiabatic and finite density of defects is excited in the ferromagnetic state. The density of excitations has only logarithmic dependence on the transition rate. This is much weaker than any usual power law scaling predicted for pure systems by the Kibble-Zurek mechanism.

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