phenomenon

neutrino quantum decoherence

The loss of quantum coherence in neutrinos due to interactions in dense environments.
17 related articles · 3 formulas

Description

Neutrino quantum decoherence is the process by which neutrinos lose their quantum mechanical phase relationships when propagating through dense matter, such as the interior of a supernova or the early universe. Neutrinos are produced in definite flavor states (electron, muon, tau) but propagate as superpositions of mass states, leading to oscillations. In dense environments, interactions with background particles can collapse these superpositions, suppressing oscillations and altering the neutrino flux.

History

The concept of neutrino decoherence in matter was explored in the 1980s and 1990s, with significant theoretical work by Stodolsky and others, but it gained prominence with the study of supernova neutrinos in the 2000s.

How it works

When a neutrino scatters off electrons or other neutrinos in a dense medium, the interaction can 'measure' its flavor or energy, effectively collapsing the quantum state. This is analogous to how a measurement destroys interference in a double-slit experiment. In extreme cases, the neutrino ensemble can become fully decoherent, meaning each neutrino is in a definite state, and oscillations cease. However, collective effects—where neutrinos interact with each other—can lead to complex phenomena like synchronized oscillations or even decoherence in a different manner.

In practice

Understanding neutrino decoherence is crucial for interpreting signals from supernovae, which could reveal the physics of dense matter and the mechanisms of stellar explosions.

Fun fact

Neutrinos are so weakly interacting that a light-year of lead would block only about half of them, yet in a supernova core, they are so dense that they can decohere within centimeters.

Concept graph →

Formulas

$$\tilde{\kappa} + i\tilde{\kappa}_B = \left( \frac{k_1^2 - k_2^2}{k^2} + i \frac{2k_1 k_2}{k^2} \right) (\tilde{\gamma}_1 + i\tilde{\gamma}_2)$$
Shear and convergence are related by a kernel in Fourier space.
What is in the formula
\tilde{\kappa}variableFourier transform of convergence — convergence
\tilde{\kappa}_BvariableFourier transform of B-mode convergence — b mode convergence
\tilde{\gamma}_1variableFourier transform of first shear component — shear component
\tilde{\gamma}_2variableFourier transform of second shear component — shear component
k_1variableFirst component of wave vector — wave vector component radian per metre
k_2variableSecond component of wave vector — wave vector component radian per metre
kvariableMagnitude of wave vector — wave number radian per metre
\tilde{\kappa}_e+i\tilde{\kappa}_b=(\frac{k_1^2-k_2^2}{k^2}+i\frac{2k_1k_2}{k^2})(\tilde{γ}_1+i\tilde{γ}_2) · 2606.31988
$$m^* = m - g_\sigma \sigma$$
Nucleon mass is reduced by scalar meson field coupling.
What is in the formula
m^*variableEffective nucleon mass in the medium — effective mass kilogram
mvariableBare nucleon mass (in vacuum) — mass kilogram
\sigmavariableScalar meson field expectation value — scalar field
g_\sigmaconstantCoupling constant between nucleons and the scalar sigma meson — coupling constant = varies (model-dependent)
m^*_n=m_n-g_σφ · 2607.13930
$$\int d\ln f \, h_0^2 \Omega_{\rm GW}(f) \propto \Delta N_{\rm eff}$$
Integrated GW spectrum contributes to effective neutrino species.
What is in the formula
fvariableGravitational wave frequency — frequency hertz
h_0variableDimensionless Hubble constant (H_0/100 km/s/Mpc) — reduced hubble constant
Ω_GWvariableGravitational wave energy density per logarithmic frequency — gravitational wave energy density parameter
ΔN_effvariableEffective number of extra neutrino species — effective neutrino number
∫ d ln foperatorIntegration over logarithmic frequency — logarithmic integral
\intd\lnfh_0^2ω_{\rmgw}(f)=5.6*10^{-6}δn_{\rmeff} · 2605.00735v1
ω_{\rmgw,0}(k)=0.83(\frac{g_c}{10.75})^{-1/3}ω_{γ,0}ω_{\rmgw}(\eta_c,k) · 2607.01818

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