Measuring the Geometric Component of the Transition-Probability in a 2-Level System
Abstract
We describe the measurement of a component of the nonadiabatic transition probability in a
two-level system that depends only on the path through parameter space followed by the Hamiltonian,
and not on how fast the path is traversed [M. V. Berry, Proc. R. Soc. London 430, 405 (1990)]. We
performed the measurement by sweeping a radio-frequency field through the Zeeman resonance of
carbon-13 in a static magnetic field and measuring the transition probability P at the end of each
sweep. We found that, for appropriately chosen radio-frequency sweep forms, a factor of P is
independent of the duration of the sweep, in accordance with the theory of Berry.
Citation
ZWANZIGER, JW, SP RUCKER, and GC CHINGAS. 1991. "Measuring the Geometric Component of the Transition-Probability in a 2-Level System." Physical Review a 43(7): 3232-3240. doi:10.1103/PhysRevA.43.3232