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Synchronization vs. decoherence of neutrino oscillations at intermediate densities
High Energy Physics - Phenomenology · Submitted 31 May 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim There is always a phase transition in the sense of partial synchronization occurring only above a density threshold.
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The abstract, sentence by sentence
We study collective oscillations of a two-flavor neutrino system with arbitrary but fixed density. In the vacuum limit, modes with different energies quickly de-phase (kinematical decoherence), whereas in the limit of infinite density they lock to each other (synchronization). For intermediate densities, we find different classes of solutions. There is always a phase transition in the sense of partial synchronization occurring only above a density threshold. For small mixing angles, partial or complete decoherence can be induced by a parametric resonance, introducing a new time scale to the problem, the final outcome depending on the spectrum and mixing angle. We derive an analytic relation that allows us to calculate the late-time degree of coherence based on the spectrum alone.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study collective oscillations of a two-flavor neutrino system with arbitrary but fixed density. | contribution 0.99 | 0.92 | 0.04 | asserted 0.87 |
| s1 | In the vacuum limit, modes with different energies quickly de-phase (kinematical decoherence), whereas in the limit of infinite density they lock to each other (synchronization). | background 0.99 | 0.12 | 0.10 | asserted 1.00 |
| s2 | For intermediate densities, we find different classes of solutions. | result 0.90 | 0.94 | 0.08 | asserted 1.00 |
| s3 | There is always a phase transition in the sense of partial synchronization occurring only above a density threshold. | result 0.99 | 0.88 | 0.34 | asserted 1.00 |
| s4 | For small mixing angles, partial or complete decoherence can be induced by a parametric resonance, introducing a new time scale to the problem, the final outcome depending on the spectrum and mixing angle. | result 1.00 | 0.85 | 0.12 | asserted 0.54 |
| s5 | We derive an analytic relation that allows us to calculate the late-time degree of coherence based on the spectrum alone. | result 0.63 | 0.96 | 0.28 | asserted 1.00 |
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The paper
Original abstract
We study collective oscillations of a two-flavor neutrino system with arbitrary but fixed density. In the vacuum limit, modes with different energies quickly de-phase (kinematical decoherence), whereas in the limit of infinite density they lock to each other (synchronization). For intermediate densities, we find different classes of solutions. There is always a phase transition in the sense of partial synchronization occurring only above a density threshold. For small mixing angles, partial or complete decoherence can be induced by a parametric resonance, introducing a new time scale to the problem, the final outcome depending on the spectrum and mixing angle. We derive an analytic relation that allows us to calculate the late-time degree of coherence based on the spectrum alone.
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References
How the literature uses it
11 arXiv papers cite this in 51 sentences
Papers citing it · 29 sentences without a confident label
Contests it 1 paper
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It is also interesting to note that the analytical results obtained in [ref] violate the conservation laws ([ref]) and ([ref]) (except in the limit $μ≫μ_0$, where no decoherence occurs).
Another look at synchronized neutrino oscillations · Previous studies · contest 0.91
Builds on it 1 paper
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In this work we have extended the formalism of Ref. [ref] in order to include three neutrino states.
Decoherence-effects in the neutrino-mixing mechanism: active and sterile neutrinos in the three flavor scheme · Introduction · 0.98
Uses its method or tool 2 papers
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The time evolution of the occupation number of neutrinos is governed by the equation of motion [ref] [equation] where the squared brackets reads for the commutator and $M^2 c^4/2Eħ$ is the mass-squared matrix in the flavour basis.
Decoherence effect in neutrinos produced in micro-quasar jets · Formalism · 0.95
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We assume that the interactions depend on the frequency of the interacting neutrinos [ref] .
Decoherence-effects in the neutrino-mixing mechanism: active and sterile neutrinos in the three flavor scheme · Neutrino spectra · 0.88
Compares with it 3 papers
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The results for the case of two-overlapping Gaussian as initial condition of the neutrino spectrum, shown at the right inset of Figure [ref], are similar to the ones obtained in Ref. [ref] for a Gaussian spectrum.
Decoherence effect in neutrinos produced in micro-quasar jets · Gaussian spectra · 1.00
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The analytic expressions obtained in Section [ref] coincide with those found in Ref. [ref] basing on different approximations and assumptions.
Another look at synchronized neutrino oscillations · Summary and discussion · 1.00
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We mention in passing the similarity to the question of synchronized oscillations vs. decoherence at intermediate densities for ordinary collective oscillatoins (driven by the mass term) that was addressed in reference [ref] .
Fast Neutrino Flavor Conversion: Collective Motion vs. Decoherence · Isotropic system · 0.82
Cites it as background 5 papers
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The authors of [ref] found three regimes of neutrino oscillations in the system, depending on the value of neutrino self-interaction parameter $μ$.
Another look at synchronized neutrino oscillations · Previous studies · 0.82
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In the last few years, focus has been on the effect of neutrino-neutrino interaction in the central regions of the core of supernova, giving rise to the so-called collective effects [ref] .
On the Observability of Collective Flavor Oscillations in Diffuse Supernova Neutrino Background · Introduction · 0.97
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One is the effect of synchronisation: different modes of the neutrino mean field oscillate in lockstep even though they have different vacuum oscillation frequencies $ω=Δm^2/2E$ [ref] .
Self-induced neutrino flavor conversion without flavor mixing · Introduction · 0.81
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