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Neutrino many-body flavor evolution: The full Hamiltonian

Apr 25, 2024

21 pages

Published in:

Phys.Rev.D 110 (2024) 12, 12

Published: Dec 15, 2024

e-Print:

2404.16690 [hep-ph]

DOI:

10.1103/PhysRevD.110.123028 (publication)

Report number:

INT-PUB-24-015

View in:

ADS Abstract Service

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Abstract: (APS)

We study neutrino flavor evolution in the quantum many-body approach using the full neutrino-neutrino Hamiltonian, including the usually neglected terms that mediate nonforward scattering processes. Working in the occupation number representation with plane waves as single-particle states, we explore the time evolution of simple initial states with up to

N = 10

neutrinos. We discuss the time evolution of the Loschmidt echo, one body flavor and kinetic observables, and the one-body entanglement entropy. For the small systems considered, we observe “thermalization” of both flavor and momentum degrees of freedom on comparable time scales, with results converging towards expectation values computed within a microcanonical ensemble. We also observe that the inclusion of nonforward processes generates a faster flavor evolution compared to the one induced by the truncated (forward) Hamiltonian.

Note:

21 pages, 16 figures

neutrino: flavor
entropy: entanglement
Hamiltonian
many-body problem
initial state
mediation
plane wave
neutrino neutrino
kinetic
forward scattering

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