Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances
- URL: http://arxiv.org/abs/2406.07491v1
- Date: Tue, 11 Jun 2024 17:29:55 GMT
- Title: Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances
- Authors: Khushboo Dixit, S. Shajidul Haque, Soebur Razzaque,
- Abstract summary: Spread complexity measures the minimized spread of quantum states over all choices of basis.
complexity-based definitions of flavor ratios exhibit a slight but nonzero sensitivity to the neutrino mass ordering.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Spread complexity measures the minimized spread of quantum states over all choices of basis. It generalizes Krylov operator complexity to quantum states under continuous Hamiltonian evolution. In this paper, we study spread complexity in the context of high-energy astrophysical neutrinos and propose a new flavor ratio based on complexity. Our findings indicate that our proposal might favor an initial ratio of fluxes as $\phi_{\nu_e}^0: \phi_{\nu_\mu}^0: \phi_{\nu_\tau}^0 = 1:0:0$ over a more generally expected ratio of $1:2:0$, when the IceCube neutrino observatory achieves its projected sensitivity to discriminate between flavors. Additionally, complexity-based definitions of flavor ratios exhibit a slight but nonzero sensitivity to the neutrino mass ordering, which traditional flavor ratios cannot capture.
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