Non-exponential decoherence of radio-frequency resonance rotation of spin in storage rings
Abstract
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.
- Publication:
-
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- August 2017
- DOI:
- 10.1134/S0021364017160044
- arXiv:
- arXiv:1712.06485
- Bibcode:
- 2017JETPL.106..213S
- Keywords:
-
- Physics - Accelerator Physics;
- Nuclear Experiment;
- Physics - Instrumentation and Detectors
- E-Print:
- JETP Lett. (2017) 106: 213-216