Wojciech H. Zurek, Uwe Dorner, Peter Zoller
Published 2005-03-21, updated 2006-02-14Version 2
We present two approaches to the dynamics of a quench-induced phase transition in quantum Ising model. The first one retraces steps of the standard approach to thermodynamic second order phase transitions in the quantum setting. The second one is purely quantum, based on the Landau-Zener formula for transition probabilities in avoided level crossings. We show that the two approaches yield compatible results for the scaling of the defect density with the quench rate. We exhibit similarities between them, and comment on the insights they give into dynamics of quantum phase transitions.
Comments: 4 pages, 3 figures. Replaced by revised version
Journal: Phys.Rev.Lett.95:105701,2005
Magnetic field dependence of the entanglement entropy of one dimensional spin systems in quantum phase transition induced by a quench
Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction
Half Landau-Zener ramp to a quantum phase transition in a dissipative single spin sodel
