Volume 116, Number 4, November 2016
|Number of page(s)||6|
|Section||Atomic, Molecular and Optical Physics|
|Published online||09 January 2017|
Non-extensive statistics in spin precession
1 Physikdepartment, Technische Universität München - D-85748 Garching, Germany
2 Physics Department, North Carolina State University - Raleigh, NC 27695-8202, USA
Received: 5 July 2016
Accepted: 19 December 2016
Many experiments utilize the precession of trapped particles in magnetic fields to perform high-precision measurements. It has often been presumed that after free precession, initially polarized particles will form a Gaussian phase distribution in the plane of precession. We show that trapped particles in the presence of magnetic-field gradients and electric fields will often form a non-Gaussian distribution with power-law tails with the exact shape of the distribution depending upon many experimental parameters. The results are consistent with distributions predicted by non-extensive statistics.
PACS: 33.25.+k – Nuclear resonance and relaxation / 34.10.+x – General theories and models of atomic and molecular collisions and interactions (including statistical theories, transition state, stochastic and trajectory models, etc.)
© EPLA, 2016
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