Exact transition probabilities in a 6-state Landau-Zener system with path interference
Abstract
We identify a nontrivial multistate Landau-Zener (LZ) model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. In the semiclassical picture, this model features the possibility of interference of different trajectories that connect the same initial and final states. Hence, transition probabilities are generally not described by the incoherent successive application of the LZ formula. We discuss reasons for integrability of this system and provide numerical tests of the suggested expression for the transition probability matrix.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- May 2015
- DOI:
- 10.1088/1751-8113/48/19/195305
- arXiv:
- arXiv:1501.06083
- Bibcode:
- 2015JPhA...48s5305S
- Keywords:
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- Quantum Physics;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Mathematical Physics
- E-Print:
- 6 pages, 3 figures