Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrino Flavour Evolution Through Fluctuating Matter   A neutrino propagating through fluctuating matter can experience large
amplitude transitions between its states. Such transitions occur in supernovae
and compact object mergers due to turbulent matter profiles and neutrino
self-interactions. In this paper we study, both numerically and analytically,
three-flavour neutrino transformation through fluctuating matter built from two
and three Fourier modes. We find flavor transformation effects which cannot
occur with just two flavours. For the case of two Fourier modes we observe the
equivalent of "induced transparency" from quantum optics whereby transitions
between a given pair of states are suppressed due to the presence of a resonant
mode between another pair. When we add a third Fourier mode we find a new
effect whereby the third mode can manipulate the transition probabilities of
the two mode case so as to force complete transparency or, alternatively,
restore "opacity" meaning the perturbative Hamiltonian regains its ability to
induce neutrino flavour transitions. In both applications we find analytic
solutions are able to match the amplitude and wavenumber of the numerical
results to within a few percent. We then consider a case of turbulence and show
how the theory can be used to understand the very different response of a
neutrino to what appears to be two, almost identical, instances of turbulence.

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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: math
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The categories of this paper are: hep-lat