Measuring the Geometric Component of the Transition-Probability in a 2-Level System
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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.
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