Neutrino Spin--Flavor Dynamics and Quantum Rabi Model: Spectral Correspondence and QRM Benchmarks
Abstract
We formulate a two-state neutrino spin--flavor system coupled through a transition magnetic moment to a single quantized electromagnetic mode and establish its operator-level correspondence with the quantum Rabi model (QRM). For the sector {lvertνiL⟩,lvertνjR⟩}, the diagonal splitting is Δs=(mi2−mj2)/(2E)+ViL−VjR, while quantization of a transverse electromagnetic mode gives a coupling gν=μijBzpf. The effective Hamiltonian consequently has the QRM form Hν=Δsσz/2+ωc a† a+gνσx(a+a†). We then formulate the correspondence at the level of the exact QRM spectrum, focusing on its exceptional (Juddian) states, and transfer the QRM constraint polynomials directly to neutrino variables. This yields explicit algebraic conditions on the neutrino mass splitting, energy, transition magnetic moment, zero-point magnetic field, and mode frequency. We also identify QRM phenomena that would become conditional predictions of the quantized-field neutrino model---including counter-rotating corrections, parity structure, spin--field entanglement, and occupation-dependent dynamics. The trapped-ion QRM experiments provide benchmarks for the operator family, while none of these QRM phenomena is presented as an already observed neutrino effect.
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BibTeX
@misc{zarrinkamar2026neutrino,
title = {{Neutrino Spin--Flavor Dynamics and Quantum Rabi Model: Spectral Correspondence and QRM Benchmarks}},
author = {Saber Zarrinkamar},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10568},
eprint = {2610.10568},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10568},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Neutrino Spin--Flavor Dynamics and Quantum Rabi Model: Spectral Correspondence and QRM Benchmarks
AU - Saber Zarrinkamar
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2610.10568
UR - https://arxiv.org/abs/2610.10568
AB - We formulate a two-state neutrino spin--flavor system coupled through a transition magnetic moment to a single quantized electromagnetic mode and establish its operator-level correspondence with the quantum Rabi model (QRM). For the sector {lvertν_iL⟩,lvertν_jR⟩}, the diagonal splitting is Δ_s=(m_i^2−m_j^2)/(2E)+V_iL−V_jR, while quantization of a transverse electromagnetic mode gives a coupling g_ν=μ_ijB_zpf. The effective Hamiltonian consequently has the QRM form H_ν=Δ_sσ_z/2+ω_c a^† a+g_νσ_x(a+a^†). We then formulate the correspondence at the level of the exact QRM spectrum, focusing on its exceptional (Juddian) states, and transfer the QRM constraint polynomials directly to neutrino variables. This yields explicit algebraic conditions on the neutrino mass splitting, energy, transition magnetic moment, zero-point magnetic field, and mode frequency. We also identify QRM phenomena that would become conditional predictions of the quantized-field neutrino model---including counter-rotating corrections, parity structure, spin--field entanglement, and occupation-dependent dynamics. The trapped-ion QRM experiments provide benchmarks for the operator family, while none of these QRM phenomena is presented as an already observed neutrino effect.
ER -