Quantum spread complexity as a probe of NSI, $CP$ Violation, and mass ordering in neutrino oscillations in matter

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Autori principali: Jha, Abhishek Kumar, G, Govind Krishna, Prajapati, Anandbhai Pravinbhai, Banerjee, Subhashish
Natura: Preprint
Pubblicazione: 2025
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author Jha, Abhishek Kumar
G, Govind Krishna
Prajapati, Anandbhai Pravinbhai
Banerjee, Subhashish
author_facet Jha, Abhishek Kumar
G, Govind Krishna
Prajapati, Anandbhai Pravinbhai
Banerjee, Subhashish
contents Quantum spread complexity characterizes how a quantum state evolves and becomes distributed over the Hilbert space under unitary dynamics. In this work, we employ a cost function as a quantitative measure of spread complexity. We investigate this cost function within the framework of three-flavor neutrino oscillations in vacuum and matter, incorporating the $CP$-violation phase and Non-Standard Interaction (NSI) effects, under both normal and inverted mass ordering scenarios. The cost function is evaluated for each scenario and analyzed with the corresponding neutrino transition probabilities for both initial muon neutrino and muon antineutrino flavor states. The results are presented using the energy where the first oscillation is maximum and baseline lengths of ongoing long-baseline accelerator neutrino experiments, including T2K and NOvA, as well as upcoming experiments such as DUNE and P2O. Our findings indicate that the difference in the cost function between normal and inverted mass orderings during neutrino propagation in matter is sensitive to these experiments, with the appropriate choice of NSI parameters and the best-fit $CP$-violation phase values.
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id arxiv_https___arxiv_org_abs_2509_09854
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum spread complexity as a probe of NSI, $CP$ Violation, and mass ordering in neutrino oscillations in matter
Jha, Abhishek Kumar
G, Govind Krishna
Prajapati, Anandbhai Pravinbhai
Banerjee, Subhashish
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
Quantum Physics
Quantum spread complexity characterizes how a quantum state evolves and becomes distributed over the Hilbert space under unitary dynamics. In this work, we employ a cost function as a quantitative measure of spread complexity. We investigate this cost function within the framework of three-flavor neutrino oscillations in vacuum and matter, incorporating the $CP$-violation phase and Non-Standard Interaction (NSI) effects, under both normal and inverted mass ordering scenarios. The cost function is evaluated for each scenario and analyzed with the corresponding neutrino transition probabilities for both initial muon neutrino and muon antineutrino flavor states. The results are presented using the energy where the first oscillation is maximum and baseline lengths of ongoing long-baseline accelerator neutrino experiments, including T2K and NOvA, as well as upcoming experiments such as DUNE and P2O. Our findings indicate that the difference in the cost function between normal and inverted mass orderings during neutrino propagation in matter is sensitive to these experiments, with the appropriate choice of NSI parameters and the best-fit $CP$-violation phase values.
title Quantum spread complexity as a probe of NSI, $CP$ Violation, and mass ordering in neutrino oscillations in matter
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2509.09854