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Test of the linearity of quantum mechanics by rf spectroscopy of the Be+9 ground state
J. J. Bollinger (National Institute of Standards and Technology), Daniel J. Heinzen (National Institute of Standards and Technology), Wayne M. Itano (National Institute of Standards and Technology), S. L. Gilbert (National Institute of Standards and Technology), David J. Wineland (National Institute of Standards and Technology)
Abstract: A hyperfine transition in the ground state of $^{9}\mathrm{Be}^{+}$ was used to test a nonlinear generalization of quantum mechanics recently formulated by Weinberg. We searched for a dependence of the frequency of a coherent superposition of two hyperfine states on the populations of the states. We are able to set a limit of 4\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}27}$ on the fraction of binding energy per nucleon of the $^{9}\mathrm{Be}^{+}$ nucleus that could be due to nonlinear corrections to quantum mechanics.