Non-exponential decoherence of radio-frequency resonance rotation of spin in storage rings
Precision experiments, such as the search for electric dipole moments of charged particles using radio-frequency spin rotators in storage rings, demand for maintaining the exact spin resonance condition for several thousand seconds. Synchrotron oscillations in the stored beam modulate the spin tune of off-central particles, moving it off the perfect resonance condition set for central particles on the reference orbit. Here, we report an analytic description of how synchrotron oscillations lead to non-exponential decoherence of the radio-frequency resonance driven up–down spin rotations. This non-exponential decoherence is shown to be accompanied by a nontrivial walk of the spin phase. We also comment on sensitivity of the decoherence rate to the harmonics of the radio-frequency spin rotator and a possibility to check predictions of decoherence-free magic energies.
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- 1.JEDI Collab., Proposals. http://collaborations.fzjuelich.de/ikp/jedi/.Google Scholar
- 5.F. Rathmann, A. Saleev, and N. Nikolaev, J. Phys.: Conf. Ser. 447, 012011 (2013).Google Scholar
- 8.F. G. Tricomi, Integral Equations, Vol. 5 of Pure and Applied Mathematics (Dover, New York, 1985).Google Scholar
- 9.M. S. Rosenthal, PhD Thesis (RWTH Aachen Univ., 2016).Google Scholar
- 10.A. Lehrach, B. Lorentz, W. Morse, N. Nikolaev, and F. Rathmann, arXiv:1201.5773 [hep-ex].Google Scholar
- 12.N. N. Bogoliubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Non-linear Oscillation (Gordon and Breach, New York, 1961).Google Scholar