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Probing CP violation and mass ordering in neutrino oscillations in matter through quantum speed limits

Subhadip Bouri1,*, Abhishek Kumar Jha1,†, and Subhashish Banerjee2,‡

  • *Contact author: subhadipb@iisc.ac.in
  • †Contact author: kjabhishek@iisc.ac.in
  • ‡Contact author: subhashish@iitj.ac.in
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Phys. Rev. D 112, 036007 – Published 14 August, 2025

DOI: https://doi.org/10.1103/w6rq-l3ql

Abstract

The quantum speed limits (QSLs) set fundamental lower bounds on the time required for a quantum system to evolve from a given initial state to a final state. In this work, we investigate CP violation and the mass ordering problem of neutrino oscillations in matter using the QSL time as a key analytical tool. We examine the QSL time for the unitary evolution of two- and three-flavor neutrino states, both in vacuum and in the presence of matter. Two-flavor neutrino oscillations are used as a precursor to their three-flavor counterparts. We further compute the QSL time for neutrino state evolution and entanglement in terms of neutrino survival and oscillation probabilities, which are experimentally measurable quantities in neutrino experiments. A difference in the QSL time between the normal and inverted mass ordering scenarios, for neutrino state evolution as well as for entanglement, under the effect of a CP violation phase is observed. Our results are illustrated using the length scales and energies of ongoing long-baseline accelerator neutrino experiments such as T2K, NOvA, and the upcoming DUNE experiment. Notably, three-flavor neutrino oscillations in constant matter density exhibit faster state evolution across all these neutrino experiments in the normal mass ordering scenario. Additionally, we observe fast entanglement suppression in DUNE assuming a normal mass ordering.

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Phys. Rev. D 112, 036007– Published 14 August, 2025
  • Received 29 June 2024
  • Revised 2 July 2025
  • Accepted 9 July 2025
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