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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2404.16690 |
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| _version_ | 1866913648636592128 |
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| author | Cirigliano, Vincenzo Sen, Srimoyee Yamauchi, Yukari |
| author_facet | Cirigliano, Vincenzo Sen, Srimoyee Yamauchi, Yukari |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16690 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Neutrino many-body flavor evolution: the full Hamiltonian Cirigliano, Vincenzo Sen, Srimoyee Yamauchi, Yukari High Energy Physics - Phenomenology Nuclear Theory Quantum Physics 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. |
| title | Neutrino many-body flavor evolution: the full Hamiltonian |
| topic | High Energy Physics - Phenomenology Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2404.16690 |