Interferences in adiabatic transition probabilities mediated by Stokes lines
- 1 October 1991
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (7), 4280-4295
- https://doi.org/10.1103/physreva.44.4280
Abstract
We consider the transition probability for two-level quantum-mechanical systems in the adiabatic limit when the Hamiltonian is analytic. We give a general formula for the leading term of the transition probability when it is governed by N complex eigenvalue crossings. This leading term is equal to a decreasing exponential times an oscillating function of the adiabaticity parameter. The oscillating function comes from an interference phenomenon between the contributions from each complex eigenvalue crossing, and when N=1, it reduces to the geometric prefactor recently studied.Keywords
This publication has 11 references indexed in Scilit:
- Exponential decay and geometric aspect of transition probabilities in the adiabatic limitAnnals of Physics, 1991
- Measuring the geometric component of the transition probability in a two-level systemPhysical Review A, 1991
- Full asymptotic expansion of transition probabilities in the adiabatic limitJournal of Physics A: General Physics, 1991
- Geometric amplitude factors in adiabatic quantum transitionsProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1990
- The adiabatic theorem in the complex plane and the semiclassical calculation of nonadiabatic transition amplitudesThe Journal of Chemical Physics, 1977
- Nonadiabatic transitions induced by a time-dependent Hamiltonian in the semiclassical/adiabatic limit: The two-state caseThe Journal of Chemical Physics, 1976
- Non-resonance excitation transfer in atomic collissions induced by dipole-dipole interactionChemical Physics Letters, 1968
- Non-adiabatic crossing of energy levelsProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1932
- Double Stern-Gerlach Experiment and Related Collision PhenomenaPhysical Review B, 1932
- Atomi orientati in campo magnetico variabileIl Nuovo Cimento (1869-1876), 1932