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Baktiar Wasir Farooq

Publications and source records attributed to Baktiar Wasir Farooq.

7 recordsLinked to original sources

Entanglement Signatures of CPT Violation in Neutrino Oscillations

We investigate the joint influence of CPT violation and quantum-gravity-induced Planck-scale corrections on the entanglement entropy of two-flavor neutrino oscillations. Building on the CPT-violating neutrino mass matrix arising from flavour-blind Planck-scale physics, we compute the von Neumann entanglement entropy separately for neutrinos and anti-neutrinos and demonstrate that CPT violation directly imprints an observable asymmetry in their entropy profiles. For a degenerate mass spectrum (m_ν\simeq2\,\mathrm{eV}), non-zero Majorana phases a_{1} and a_{2} are required to reproduce the solar KamLAND discrepancy; these same phases control the amplitude of the entropy asymmetry. Our results establish that entanglement entropy provides a sensitive and novel probe of CPT-violating Planck-scale physics within neutrino phenomenology.

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Probing Quantum Foundations in Long-Baseline Neutrino Oscillations: Wave Packet Approach from MINOS Data to DUNE Predictions

We investigate neutrino flavor oscillations in the wave packet formalism, extending the standard planewave treatment to incorporate the finite spatial coherence of neutrino mass eigenstates.We derive the full three flavor oscillation probability with MSW matter effects, decoherence, and localization suppression governed by the wave packet width, benchmarking against MINOS disappearance data and extending to DUNE predictions under the same parameters. To quantify how sharply the oscillation data constrain the wave packet width, we compute the classical Fisher information FC as a function of neutrino energy for both MINOS and DUNE, and show that its sensitivity is concentrated precisely in the low-energy regime where the wave-packet and plane-wave predictions diverge. Beyond the oscillation probability analysis, we compute wave particle entanglement complementarity quantities within a quantum information theoretic framework and explore the complete triality description involving entanglement, predictability, and visibility as functions of neutrino energy for both experiments such as MINOS and DUNE. We show that even when the oscillation probability is numerically indistinguishable from the planewave result, the wave packet structure leaves observable imprints in these triality measures. Our results demonstrate that the wave packet approach provides a theoretically consistent and experimentally motivated framework for probing quantum foundations in long-baseline atmospheric neutrino oscillation experiments.

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Modified Entanglement Patterns in Two-Flavor Neutrinos from Quantum-Gravity Interactions

In this work, we investigate the influence of quantum gravity induced corrections on the entanglement entropy associated with two flavor neutrino oscillations in vacuum. Using the Von Neumann entropy as a measure of quantum correlations, we analyze how Planck scale suppressed modification implemented through quantum gravity motivated changes in the neutrino dispersion relation affect the evolution of entanglement during successive oscillation cycles. By performing a statistical study over a range of oscillation lengths and neutrino energies, we identify characteristic deviations in the entropy profile arising from quantum gravity effects. Our results suggest that entanglement entropy provides a sensitive probe of small quantum gravity induced departures from standard neutrino oscillation dynamics, highlighting its potential role in testing Planck scale physics within neutrino phenomenology.

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Quantum Fisher Information as a Probe of Sterile Neutrino New Physics:Geometric Advantage of KM3NeT over IceCube

We investigate a reported discrepancy between a high-energy neutrino detection at KM3NeT and its non-observation at IceCube, which suggests a statistical tension of up to 3.5 standard deviations. This gap has been proposed to arise from sterile neutrino oscillations over the 147-kilometer path to KM3NeT, driven by either matter-induced resonances or nonstandard interactions. Using the Quantum Fisher Information framework, we quantify the sensitivity of the neutrino state to these new physics couplings and establish fundamental precision limits via the quantum Cramer-Rao bound. Our analysis shows that the information available at KM3NeT exceeds that at IceCube by three orders of magnitude for matter-induced scenarios. We demonstrate that IceCube would require over thirty times more events to match the precision of a single KM3NeT detection. We identify an optimal baseline of 150 to 200 kilometers, placing KM3NeT in a superior position for these measurements. Our results show that standard detection methods already reach the ultimate quantum precision limit, and that a small number of future events at KM3NeT could provide the first quantum-limited constraints on sterile neutrino couplings.

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Modified Entanglement Patterns in Four-Flavor Neutrinos from Quantum-Gravity Interactions

We investigate the influence of quantum-gravity (QG) induced corrections on the entanglement entropy associated with four-flavor neutrino oscillations in vacuum, incorporating an additional sterile neutrino in the (3+1) framework. Using the von Neumann entropy as a measure of quantum correlations, we analyze how Planck-scale suppressed modifications to the neutrino mass-squared differences and the extended mixing matrix affect the evolution of entanglement during successive oscillation cycles. The quantum-gravity corrections are implemented through a dimension-5 effective field theory operator that modifies the four-flavor PMNS matrix and all six mixing angles above the GUT scale. We find that the atmospheric mixing angle θ_{23} undergoes the largest deviation due to Planck-scale effects, while angles θ_{14}, θ_{24}, and θ_{34} remain essentially unchanged. The resulting QG-corrected oscillation probabilities produce characteristic deviations in the entanglement entropy profile as a function of L/E, providing a sensitive probe of Planck-scale physics within a four-flavor neutrino phenomenology framework.

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NeutrinoOsc3Flavor: CP Phase Dependence in Three-Flavor Neutrino Oscillations: A Numerical Study in Vacuum and Matter

We present NeutrinoOsc3Flavor, a lightweight and fully transparent computational framework for exact three flavor neutrino oscillation studies in vacuum and constant density matter. The code numerically solves the Schrodinger evolution equation in the flavor basis using explicit construction and diagonalization of the effective Hamiltonian within the PMNS formalism, including full CP Violating phase dependence. In contrast to large scale oscillation toolkits optimized for experimental simulations, NeutrinoOsc3Flavor is designed as a minimal dependency reference implementation, emphasizing analytical traceability, equation level accessibility, and cross platform portability. The framework relies solely on NumPy for numerical linear algebra and runs natively on both Linux and Windows systems without external compilation or specialized libraries. As an internal consistency and validation feature, we implement an independent analytical determination of the matter modified Hamiltonian eigenvalues using the Cardano method and demonstrate excellent agreement with numerical diagonalization. CP Phase dependence is used as a sensitive diagnostic of numerical stability and correctness of the evolution operator in both vacuum and matter. NeutrinoOsc3Flavor is intended as a verification oriented and pedagogical computational tool, suitable for theoretical cross-checks, educational use, and benchmarking of more complex neutrino oscillation software, rather than as a replacement for full experimental simulation frameworks. Here, we consider the DUNE experiments baseline length in the python implementation but in general we can implement any value of baseline length.

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Two Flavour Neutrino Oscillation in Matter and Quantum Entanglement

In this article, we investigate the entanglement entropy for neutrino oscillations when neutrino propogate in matter, utilising Von Neumann entropy. We discuss two flavour neutrino oscillation in vaccum and matter. We demonstrate statistically that, depending on the length of oscillation for each energy, the entanglement entropy for the succeeding periods of the two-flavor neutrino oscillations in matter.

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