Neutrino many-body flavor evolution: the full Hamiltonian

• URL: http://arxiv.org/abs/2404.16690v1
• Date: Thu, 25 Apr 2024 15:50:16 GMT
• Title: Neutrino many-body flavor evolution: the full Hamiltonian
• Authors: Vincenzo Cirigliano, Srimoyee Sen, Yukari Yamauchi,
• Abstract summary: We study neutrino flavor evolution in the quantum many-body approach using the full neutrino-neutrino Hamiltonian. We discuss the time evolution of the Loschmidt echo, one body flavor and kinetic observables, and the one-body entanglement entropy.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study neutrino flavor evolution in the quantum many-body approach using the full neutrino-neutrino Hamiltonian, including the usually neglected terms that mediate non-forward 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 non-forward processes generates a faster flavor evolution compared to the one induced by the truncated (forward) Hamiltonian.

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