Entanglement and collective flavor oscillations in a dense neutrino gas

Cervia, Michael J.; Patwardhan, Amol V.; Balantekin, A. B.; Coppersmith, S. N.; Johnson, Calvin W.

doi:10.1103/physrevd.100.083001

Cited by 57 publications

(62 citation statements)

References 100 publications

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“…In this section, we introduce the equations of motion for neutrinos in the mean-field approximation, although many-body descriptions can also be adopted (28)(29)(30)(31)(32)(33)(34)(35)(36). The onset of flavor conversions can be examined through a linear stability analysis applied to the linearized equations of motion.…”

Section: Neutrino Flavor Conversionsmentioning

confidence: 99%

New Developments in Flavor Evolution of a Dense Neutrino Gas

Tamborra

Shalgar

2021

Annu. Rev. Nucl. Part. Sci.

145

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Neutrino–neutrino refraction dominates the flavor evolution in core-collapse supernovae, neutron star mergers, and the early Universe. Ordinary neutrino flavor conversions develop on timescales determined by the vacuum oscillation frequency. However, when the neutrino density is large enough, collective flavor conversions may arise because of pairwise neutrino scattering. Pairwise conversions are deemed fast because they are expected to occur on timescales that depend on the neutrino–neutrino interaction energy (i.e., on the neutrino number density) and are regulated by the angular distributions of electron neutrinos and antineutrinos. The enigmatic phenomenon of fast pairwise conversions has been overlooked for a long time. However, because of the fast conversion rate, pairwise conversions could occur in the proximity of the neutrino decoupling region with yet-to-be-understood implications for the hydrodynamics of astrophysical sources and the synthesis of the heavy elements. We review the physics of this fascinating phenomenon and its implications for neutrino-dense sources. Expected final online publication date for the Annual Review of Nuclear and Particle Science, Volume 71 is September 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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Section: Neutrino Flavor Conversionsmentioning

confidence: 99%

New Developments in Flavor Evolution of a Dense Neutrino Gas

Tamborra

Shalgar

2021

Annu. Rev. Nucl. Part. Sci.

145

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“…These considerations led to a number of studies which addressed the adequacy of the mean field approximation in describing self interacting neutrinos [22,23,24,17,25,26,27,28,29]. The research on this subject revolves around the importance of entangled neutrino states in the dynamics.…”

Section: Introductionmentioning

confidence: 99%

“…In particular Refs. [27,28,29] calculate the von Neumann bi-partite entanglement entropy and conclude that this entropy increases with the number of neutrinos.…”

Section: Introductionmentioning

confidence: 99%

“…As a result, solutions are feasible either for small numbers of neutrinos or with additional simplifying assumptions, For example, Ref. [27] employs relatively realistic conditions but includes only n = 9 neutrinos while Refs. [28,29] can go up to n = 128 neutrinos in a simplified setup.…”

Section: Introductionmentioning

confidence: 99%

“…For this, we adopt a setup which is similar to the one considered in Ref. [27]: An effective two flavor mixing scheme, a decreasing neutrino density representing emission from an astrophysical source, and initial state which consists only of electron neutrinos in a box-like energy distribution. For this particular initial state, Ref.…”

Section: Introductionmentioning

confidence: 99%

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Entangled neutrinos in a supernova

Pehlivan

Birol

2022

J. Phys.: Conf. Ser.

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We consider the entanglement of neutrinos evolving adiabatically under the effect of vacuum oscillations and self interactions through decreasing neutrino density similar to a core collapse supernova. For an initial state which consists only of electron type neutrinos, we analytically calculate the asymptotic value of the entropy of entanglement between the lowest energy neutrino and the rest of the system as a function of the number of neutrinos. We find that, as we increase neutrino number the entanglement entropy grows at first. But after going through a maximum, it approaches to zero in the limit of infinite number of neutrinos. We find that the number of neutrinos for which the entropy maximizes depends on the mixing angle.

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Fast Flavor Transformations

Richers

Sen

2022

Handbook of Nuclear Physics

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Entanglement and collective flavor oscillations in a dense neutrino gas

Cited by 57 publications

References 100 publications

New Developments in Flavor Evolution of a Dense Neutrino Gas

New Developments in Flavor Evolution of a Dense Neutrino Gas

Entangled neutrinos in a supernova

Fast Flavor Transformations

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