Adiabatic-Impulse approximation for avoided level crossings: from phase transition dynamics to Landau-Zener evolutions and back again
Other Condensed Matter
2009-11-11 v2 High Energy Physics - Theory
Quantum Physics
Abstract
We show that a simple approximation based on concepts underlying the Kibble-Zurek theory of second order phase transition dynamics can be used to treat avoided level crossing problems. The approach discussed in this paper provides an intuitive insight into quantum dynamics of two level systems, and may serve as a link between the theory of dynamics of classical and quantum phase transitions. To illustrate these ideas we analyze dynamics of a paramagnet-ferromagnet quantum phase transition in the Ising model. We also present exact unpublished solutions of the Landau-Zener like problems.
Keywords
Cite
@article{arxiv.cond-mat/0511709,
title = {Adiabatic-Impulse approximation for avoided level crossings: from phase transition dynamics to Landau-Zener evolutions and back again},
author = {Bogdan Damski and Wojciech H. Zurek},
journal= {arXiv preprint arXiv:cond-mat/0511709},
year = {2009}
}
Comments
12 pages & 6 figures, minor corrections, version accepted in Phys. Rev. A