Dynamics of a Quantum Phase Transition

Details Dynamics of a Quantum Phase Transition Dynamics of a Quantum Phase Transition

2005-03-21

arxiv.org/abs/cond-mat/0503511v2

Phys.Rev.Lett.95:105701,2005

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures. Replaced by revised version

Scientific paper

10.1103/PhysRevLett.95.105701

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.

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