Landau-Zener transition of a two-level system driven by spin chains near their critical points
Abstract
The Landau-Zener (LZ) transition of a two-level system coupling to spin chains near their critical points is studied in this paper. Two kinds of spin chains, the Ising spin chain and XY spin chain, are considered. We calculate and analyze the effects of system-chain coupling on the LZ transition. A relation between the LZ transition and the critical points of the spin chain is established. These results suggest that LZ transitions may serve as the witnesses of criticality of the spin chain. This may provide a new way to study quantum phase transitions as well as LZ transitions.
- Publication:
-
European Physical Journal D
- Pub Date:
- February 2008
- DOI:
- arXiv:
- arXiv:0704.3463
- Bibcode:
- 2008EPJD...46..345W
- Keywords:
-
- 32.80.Bx Level crossing and optical pumping;
- 03.65.Yz Decoherence;
- open systems;
- quantum statistical methods;
- 05.70.Jk Critical point phenomena;
- 05.50.+q Lattice theory and statistics;
- 03.65.Yz Decoherence; open systems; quantum statistical methods;
- Quantum Physics
- E-Print:
- 5 pages, 4 figures. European Physical Journals D accepted