Exact integrability of the two-level system: Berry’s phase and nonadiabatic corrections
- 1 July 1989
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 40 (2), 526-529
- https://doi.org/10.1103/physreva.40.526
Abstract
The general time-dependent quantum two-level system is shown to admit an exact invariant. This leads to a classical formulation of the problem, which is then solved by standard techniques of Hamiltonian mechanics. Berry’s phase and nonadiabatic corrections to it emerge as an asymptotic limit of the exact dynamics. A novel connection between Berry’s phase and Hannay’s angle is shown to exist in this case.Keywords
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