The Simplest Quantum Model Supporting the Kibble-Zurek Mechanism of Topological Defect Production: Landau-Zener Transitions from a New Perspective
Abstract
It can be shown that the 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.
- Publication:
-
Physical Review Letters
- Pub Date:
- July 2005
- DOI:
- 10.1103/PhysRevLett.95.035701
- arXiv:
- arXiv:cond-mat/0411004
- Bibcode:
- 2005PhRvL..95c5701D
- Keywords:
-
- 64.60.Ht;
- 03.75.Lm;
- 05.70.Fh;
- 32.80.Bx;
- Dynamic critical phenomena;
- Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations;
- Phase transitions: general studies;
- Level crossing and optical pumping;
- Condensed Matter - Other;
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- 4 pages, 3 figures. Version to appear in Phys. Rev. Lett. (2005). Many improvements introduced, major conclusions stay the same