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Open system approach to neutrino oscillations
High Energy Physics - Phenomenology · Submitted 21 Feb 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These new phenomena induce modifications in the neutrino oscillation pattern that in general can be parametrized by means of six phenomenological constants.
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The abstract, sentence by sentence
Neutrino oscillations are studied in the general framework of open quantum systems by means of extended dynamics that take into account possible dissipative effects. These new phenomena induce modifications in the neutrino oscillation pattern that in general can be parametrized by means of six phenomenological constants. Although very small, stringent bounds on these parameters are likely to be given by future planned neutrino experiments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Neutrino oscillations are studied in the general framework of open quantum systems by means of extended dynamics that take into account possible dissipative effects. | contribution 0.53 | 0.69 | 0.10 | asserted 0.98 |
| s1 | These new phenomena induce modifications in the neutrino oscillation pattern that in general can be parametrized by means of six phenomenological constants. | result 0.93 | 0.49 | 0.39 | asserted 0.62 |
| s2 | Although very small, stringent bounds on these parameters are likely to be given by future planned neutrino experiments. | interpretation 0.50 | 0.09 | 0.27 | hedged possibility 1.00 |
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The paper
Original abstract
Neutrino oscillations are studied in the general framework of open quantum systems by means of extended dynamics that take into account possible dissipative effects. These new phenomena induce modifications in the neutrino oscillation pattern that in general can be parametrized by means of six phenomenological constants. Although very small, stringent bounds on these parameters are likely to be given by future planned neutrino experiments.
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References
How the literature uses it
38 arXiv papers cite this in 65 sentences
Papers citing it · 37 sentences without a confident label
Uses its method or tool 2 papers
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In terms of auxiliary variables $𝒰$ and $𝒲$ where [equation] and [equation] it is straightforward to show that [equation] and [equation] The vector $ρ$ $( 0)$ can be decomposed [ref] as [equation] with [equation] and [equation] Hence [equation] From this one can obtain from a standard analysis [ref] the following expression for the neutrino transition probability $ν_μ↔ν_τ$ in this case, to leading order in the small parameter $Ω^2≪1$: [equation] where $Γ=(Δa_μτcos(2θ)+Δ_12)^2+Δa_μτ^2sin^2(2θ) ,$ $Δ_12= Δm_12^2/2k$ and $Δa_μτ≡a_ν_μ-a_ν_τ$.
Quantum-Gravity Decoherence Effects in Neutrino Oscillations: Expected Constraints from CNGS and J-PARC · Quantum-Gravitational MSW effect and induced decoherence · 0.82
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The two-level system in vacuum in the presence of quantum decoherence can be solved to give the $ν_μ$ survival probability [ref] :
Probing Nonstandard Neutrino Physics by Two Identical Detectors with Different Baselines · Quantum decoherence (QD) · 0.87
Compares with it 1 paper
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The formulas for $P^_aa = P^_bb$ and $P^_ab = P^_ba$ should be compared with the ones in Ref. [ref] .
Density Matrix Formalism for PT-Symmetric Non-Hermitian Hamiltonians with the Lindblad Equation · Specific Examples with $$ · 1.00
Cites it as background 20 papers
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The neutrino system can be envisioned as an open quantum system subjected to the effects of its interaction with the environment [ref] , which can be a manifestation of Planck-scale physics [ref] .
Distinguishing Beyond-Standard Model Effects in Neutrino Oscillation · Quantum decoherence (QD) · 0.94
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The microscopic layer relates to the theories in the literature [ref] , which can be represented by either the Fock-PS or the Wigner-PS on which Fock states and the Wigner quasi-probability distribution are represented, respectively.
Microscopic and Macroscopic Effects in the Decoherence of Neutrino Oscillations · Introduction · 0.85
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Phenomenological descriptions of neutrino dephasing are often formulated in terms of Lindblad generators [ref] , while scalar and fluctuating-ALP backgrounds have also been treated within open-system frameworks [ref] .
Energy-independent neutrino dephasing from an ultralight axion-like background · Statistical interpretation · 0.99
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