Exact integrability of the two-level system: Berry’s phase and nonadiabatic corrections
Nilanjana DattaSaha Institute of Nuclear Physics, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, IndiaGautam GhoshSaha Institute of Nuclear Physics, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, IndiaM. H. EngineerSaha Institute of Nuclear Physics, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, India
1989en
ABI
Annotatsiya
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.
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