The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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4 pages, 3 figures. Version to appear in Phys. Rev. Lett. (2005). Many improvements introduced, major conclusions stay the sam

Scientific paper

10.1103/PhysRevLett.95.035701

It is shown that dynamics of the Landau-Zener model can be accurately
described in terms of the Kibble-Zurek theory of the topological defect
production in nonequilibrium phase transitions. The simplest quantum model
exhibiting the Kibble-Zurek mechanism is presented. A new intuitive description
of Landau-Zener dynamics is found.

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