Physical Review A

Nonadiabatic spin transitions in an inhomogeneous magnetic field

R. D. Hight, R. T. Robiscoe, Walter R. Thorson

Published Mar 1, 1977• 25 citations

Abstract

Model calculations are presented for nonadiabatic passage of an oriented spin through a reversing solenoidal magnetic field; these are useful for comparison with experiments described elsewhere. The model corresponds closely to the well-known Landau-Zener-Stueckelberg model of a two-state curve crossing in molecular collision theory; various modifications appropriate to the Majorana problem are considered. The resulting transition amplitudes are discussed for the $F=1$ hyperfine component of the $2^{2}S_{\frac{1}{2}}$ metastable state of atomic hydrogen as an example.

DOI: 10.1103/physreva.15.1079

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Physical Review A

Nonadiabatic spin transitions in an inhomogeneous magnetic field

R. D. Hight, R. T. Robiscoe, Walter R. Thorson

Published Mar 1, 1977• 25 citations

Publisher

Abstract

F=1

hyperfine component of the

2^{2}S_{\frac{1}{2}}

metastable state of atomic hydrogen as an example.

DOI: 10.1103/physreva.15.1079

Related papers

Nonadiabatic transition in n=2 atomic hydrogen

R. D. Hight, R. T. Robiscoe

We present an experiment studying the nonadiabatic passage of the $F=1$ hyperfine component of the $2^{2}S_{\frac{1}{2}}$ metastable state of atomic hydrogen through a reversing solenoidal magnetic field. The nonadiabatic region is compared to the model field of Hight, Robiscoe, and Thorson. The measured transition amplitudes are fitted by the calculated amplitudes and the results are discussed.We present an experiment studying the nonadiabatic passage of the $F=1$ hyperfine component of the $2^{2}S_{\frac{1}{2}}$ metastable state of atomic hydrogen through a reversing solenoidal magnetic field. The nonadiabatic region is compared to the model field of Hight, Robiscoe, and Thorson. The measured transition amplitudes are fitted by the calculated amplitudes and the results are discussed.

Physical Review AFeb 1, 197816 citations

Spin transitions in time-dependent magnetic fields

Frank Garisto, B. C. Sanctuary

Nonadiabatic transitions in state-selection experiments on beams of metastable hydrogen atoms ( $2{S}_{\frac{1}{2}}$ ) display oscillations in the population of the $F=1$ , $m=\ensuremath{-}1$ state R. D. Hight and R. T. Robiscoe, [Phys. Rev. A 17, 561 (1978)]. In this paper, theoretical calculations using exact and model solenoid fields averaged over a velocity distribution show that the population oscillations arise from the presence of at least two nonadiabatic regions in the solenoid. No oscillations occur theoretically if only a single nonadiabatic region exists, unless the unlikely assumption of a coherent hydrogen-atom beam is invoked.Nonadiabatic transitions in state-selection experiments on beams of metastable hydrogen atoms ($2{S}_{\frac{1}{2}}$) display oscillations in the population of the $F=1$, $m=\ensuremath{-}1$ state R. D. Hight and R. T. Robiscoe, [Phys. Rev. A 17, 561 (1978)]. In this paper, theoretical calculations using exact and model solenoid fields averaged over a velocity distribution show that the population oscillations arise from the presence of at least two nonadiabatic regions in the solenoid. No oscillations occur theoretically if only a single nonadiabatic region exists, unless the unlikely assumption of a coherent hydrogen-atom beam is invoked.

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Polina O. Kofman, O. V. Ivakhnenko, Sergey N Shevchenko +1 more

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arXiv:2208.00481Scientific ReportsMar 28, 202329 citations

F=1

hyperfine component of the

2^{2}S_{\frac{1}{2}}

metastable state of atomic hydrogen as an example.

We present an experiment studying the nonadiabatic passage of the

F=1

hyperfine component of the

2^{2}S_{\frac{1}{2}}

metastable state of atomic hydrogen through a reversing solenoidal magnetic field. The nonadiabatic region is compared to the model field of Hight, Robiscoe, and Thorson. The measured transition amplitudes are fitted by the calculated amplitudes and the results are discussed.

Nonadiabatic transitions in state-selection experiments on beams of metastable hydrogen atoms (

2{S}_{\frac{1}{2}}

) display oscillations in the population of the

F=1

, $m=\ensuremath{-}1$ state R. D. Hight and R. T. Robiscoe, [Phys. Rev. A 17, 561 (1978)]. In this paper, theoretical calculations using exact and model solenoid fields averaged over a velocity distribution show that the population oscillations arise from the presence of at least two nonadiabatic regions in the solenoid. No oscillations occur theoretically if only a single nonadiabatic region exists, unless the unlikely assumption of a coherent hydrogen-atom beam is invoked.

(2s,2p)

and

(2p,2p)

states, while the Coriolis interaction produces nonadiabatic angular coupling. Both of these long-range contributions are handled in a space-fixed atomic gauge that is particularly convenient for a spin-polarized system. The improved theoretical results are compared with an existing experiment.