James P. Kneller, Gail C. McLaughlin, Kelly M. Patton
Large amplitude oscillations between states of a quantum system can be
stimulated by sinusoidal external potentials with frequencies that are equal to
the energy level splitting of the states or a fraction thereof. We investigate
this effect for neutrino oscillations both analytically and numerically finding
a simple expression for amplitude and wavelength of the transitions as a
function of the density, the amplitude and wavenumber of the fluctuation, and
the matter mixing matrix elements. We apply our findings to the supernova
environment and find that it is possible to predict stimulated transitions that
occur due to sinusoidal perturbations in the density.
View original:
http://arxiv.org/abs/1202.0776
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