Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Prospects for relic neutrino detection using nuclear spin experiments

Yeray Garcia del Castillo*, Giovanni Pierobon†, Dipan Sengupta‡, and Yvonne Y. Y. Wong§

  • *Contact author: y.garcia_del_castillo@unsw.edu.au
  • †Contact author: g.pierobon@unsw.edu.au
  • ‡Contact author: dipan.sengupta@unsw.edu.au
  • §Contact author: yvonne.y.wong@unsw.edu.au

Phys. Rev. D 113, 043061 – Published 27 February, 2026

DOI: https://doi.org/10.1103/kgk5-bf5x

Abstract

Direct detection of the cosmic neutrino background (CνB) remains one of the most formidable experimental challenges in modern physics. In this work, we extend recent studies of CνB−induced coherent transitions in polarized nuclear spin ensembles. Adopting an open quantum system framework, we model coherent neutrino effects in large spin ensembles using a Lindblad master equation that also incorporates realistic experimental imperfections such as local dephasing and imperfect polarization. We solve the Lindblad equation numerically by way of a fast and computationally inexpensive method that can be extended to an arbitrarily large number of spins. Using our numerical solutions, we forecast the sensitivities of future experiments such as CASPEr to the local CνB overdensity parameter δν. Our findings indicate that a CASPEr-like experiment, though primarily aimed at axion dark matter search, could also constrain the CνB overdensity to δν∼1013 in configurations achievable by currently planned experimental efforts, and down to δν∼1011 in the most optimized scenario. While CνB detection remains out of reach in the foreseeable future, our results highlight the potential of using quantum sensing to probe fundamental physics.

View figure in article

Physics Subject Headings (PhySH)

Corrections

9 April, 2026

Correction: An incorrect version of Fig. 7 was used for publication and has now been replaced with the correct version.

Article Text

References (79)

  1. S. Navas et al. (Particle Data Group Collaboration), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  2. S. Singh and C.-P. Ma, Neutrino clustering in cold dark matter halos: Implications for ultrahigh-energy cosmic rays, Phys. Rev. D 67, 023506 (2003).
  3. A. Ringwald and Y. Y. Y. Wong, Gravitational clustering of relic neutrinos and implications for their detection, J. Cosmol. Astropart. Phys. 12 (2004) 005.
  4. J. Brandbyge, S. Hannestad, T. Haugbølle, and Y. Y. Y. Wong, Neutrinos in non-linear structure formation—the effect on halo properties, J. Cosmol. Astropart. Phys. 09 (2010) 014.
  5. F. Villaescusa-Navarro, J. Miralda-Escudé, C. Peña-Garay, and V. Quilis, Neutrino halos in clusters of galaxies and their weak lensing signature, J. Cosmol. Astropart. Phys. 06 (2011) 027.
  6. M. LoVerde and M. Zaldarriaga, Neutrino clustering around spherical dark matter halos, Phys. Rev. D 89, 063502 (2014).
  7. P. F. de Salas, S. Gariazzo, J. Lesgourgues, and S. Pastor, Calculation of the local density of relic neutrinos, J. Cosmol. Astropart. Phys. 09 (2017) 034.
  8. J. Zhang and X. Zhang, Gravitational clustering of cosmic relic neutrinos in the milky way, Nat. Commun. 9, 1833 (2018).
  9. P. Mertsch, G. Parimbelli, P. F. de Salas, S. Gariazzo, J. Lesgourgues, and S. Pastor, Neutrino clustering in the milky way and beyond, J. Cosmol. Astropart. Phys. 01 (2020) 015.
  10. E. B. Holm, I. M. Oldengott, and S. Zentarra, Local clustering of relic neutrinos with kinetic field theory, Phys. Lett. B 844, 138073 (2023).
  11. F. Zimmer, C. A. Correa, and S. Ando, Influence of local structure on relic neutrino abundances and anisotropies, J. Cosmol. Astropart. Phys. 11 (2023) 038.
  12. F. Zimmer, G. Franco Abellán, and S. Ando, Effects of primordial fluctuations on relic neutrino simulations, J. Cosmol. Astropart. Phys. 10 (2024) 098.
  13. E. B. Holm, S. Zentarra, and I. M. Oldengott, Local clustering of relic neutrinos: Comparison of kinetic field theory and the Vlasov equation, J. Cosmol. Astropart. Phys. 07 (2024) 050.
  14. K. Worku, N. Sabti, and M. Kamionkowski, Rapid methods for modeling overdensities of massive neutrinos and other noncold relics, Phys. Rev. D 112, 023538 (2025).
  15. C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Precision big bang nucleosynthesis with improved Helium-4 predictions, Phys. Rep. 754, 1 (2018).
  16. N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  17. I. M. Oldengott, T. Tram, C. Rampf, and Y. Y. Y. Wong, Interacting neutrinos in cosmology: Exact description and constraints, J. Cosmol. Astropart. Phys. 11 (2017) 027.
  18. J. Z. Chen, I. M. Oldengott, G. Pierobon, and Y. Y. Y. Wong, Weaker yet again: Mass spectrum-consistent cosmological constraints on the neutrino lifetime, Eur. Phys. J. C 82, 640 (2022).
  19. L. Stodolsky, Speculations on detection of the neutrino sea, Phys. Rev. Lett. 34, 110 (1975); 34, 508(E) (1975).
  20. I. M. Oldengott and D. J. Schwarz, Improved constraints on lepton asymmetry from the cosmic microwave background, Europhys. Lett. 119, 29001 (2017).
  21. A.-K. Burns, T. M. P. Tait, and M. Valli, Indications for a nonzero lepton asymmetry from extremely metal-poor galaxies, Phys. Rev. Lett. 130, 131001 (2023).
  22. A. Arvanitaki and S. Dimopoulos, Cosmic neutrino background on the surface of the earth, Phys. Rev. D 108, 043517 (2023).
  23. O. Ruchayskiy, V. Syvolap, and R. Wursch, Lepton number survival in the cosmic neutrino background, Phys. Rev. D 108, 123503 (2023).
  24. B. F. Shvartsman, V. B. Braginsky, S. S. Gershtein, Y. B. Zeldovich, and M. Y. Khlopov, Possibility of detecting relict massive neutrinos, JETP Lett. 36, 277 (1982).
  25. P. Langacker, J. P. Leveille, and J. Sheiman, On the detection of cosmological neutrinos by coherent scattering, Phys. Rev. D 27, 1228 (1983).
  26. P. F. Smith and J. D. Lewin, Coherent interactino of galactic neutronos with material targets, Phys. Lett. 127B, 185 (1983).
  27. G. Duda, G. Gelmini, and S. Nussinov, Expected signals in relic neutrino detectors, Phys. Rev. D 64, 122001 (2001).
  28. V. Domcke and M. Spinrath, Detection prospects for the cosmic neutrino background using laser interferometers, J. Cosmol. Astropart. Phys. 06 (2017) 055.
  29. J. D. Shergold, Updated detection prospects for relic neutrinos using coherent scattering, J. Cosmol. Astropart. Phys. 11 (2021) 052.
  30. S. Weinberg, Universal neutrino degeneracy, Phys. Rev. 128, 1457 (1962).
  31. A. G. Cocco, G. Mangano, and M. Messina, Probing low energy neutrino backgrounds with neutrino capture on beta decaying nuclei, J. Cosmol. Astropart. Phys. 06 (2007) 015.
  32. A. J. Long, C. Lunardini, and E. Sabancilar, Detecting non-relativistic cosmic neutrinos by capture on tritium: Phenomenology and physics potential, J. Cosmol. Astropart. Phys. 08 (2014) 038.
  33. K. Akita, S. Hurwitz, and M. Yamaguchi, Precise capture rates of cosmic neutrinos and their implications on cosmology, Eur. Phys. J. C 81, 344 (2021).
  34. M. Aker et al. (KATRIN Collaboration), New constraint on the local relic neutrino background overdensity with the first KATRIN data runs, Phys. Rev. Lett. 129, 011806 (2022).
  35. M. Aker et al. (KATRIN Collaboration), Direct neutrino-mass measurement based on 259 days of KATRIN data, Science 388, adq9592 (2025).
  36. A. A. Esfahani et al. (Project 8 Collaboration), The project 8 neutrino mass experiment, in Snowmass 2021 (2022), 3, arXiv:2203.07349.
  37. E. Baracchini et al. (PTOLEMY Collaboration), PTOLEMY: A proposal for thermal relic detection of massive neutrinos and directional detection of MeV dark matter, arXiv:1808.01892.
  38. M. Bauer and J. D. Shergold, Relic neutrinos at accelerator experiments, Phys. Rev. D 104, 083039 (2021).
  39. M. Yoshimura, N. Sasao, and M. Tanaka, Experimental method of detecting relic neutrino by atomic deexcitation, Phys. Rev. D 91, 063516 (2015).
  40. G.-y. Huang and S. Zhou, Probing cosmic neutrino background through parametric fluorescence, arXiv:2507.10868.
  41. M. Bauer, J. Perez-Soler, and J. D. Shergold, Dark matter pair absorption, arXiv:2507.14287.
  42. A. Arvanitaki, S. Dimopoulos, and M. Galanis, Superradiant interactions of the cosmic neutrino background, axions, dark matter, and reactor neutrinos, Phys. Rev. D 111, 055015 (2025).
  43. S. R. Aliberti, G. Lambiase, and T. K. Poddar, Limits on dark matter, ultralight scalars, and cosmic neutrinos with gyroscope spin and precision clocks, J. Cosmol. Astropart. Phys. 03 (2025) 049.
  44. S. Das, P. S. B. Dev, T. Okawa, and A. Soni, Old neutron stars as a new probe of relic neutrinos and sterile neutrino dark matter, Phys. Rev. D 111, 055035 (2025).
  45. M. Císcar-Monsalvatje, G. Herrera, and I. M. Shoemaker, Upper limits on the cosmic neutrino background from cosmic rays, Phys. Rev. D 110, 063036 (2024).
  46. A. G. De Marchi, A. Granelli, J. Nava, and F. Sala, Relic neutrino background from cosmic-ray reservoirs, Phys. Rev. D 111, 023023 (2025).
  47. G. Herrera, S. Horiuchi, and X. Qi, Diffuse boosted cosmic neutrino background, Phys. Rev. D 111, 063016 (2025).
  48. J. Franklin, I. Martinez-Soler, Y. F. Perez-Gonzalez, and J. Turner, Probing the cosmic neutrino background and new physics with TeV-scale astrophysical neutrinos, Phys. Lett. B 867, 139615 (2025).
  49. V. Brdar, P. S. B. Dev, R. Plestid, and A. Soni, A new probe of relic neutrino clustering using cosmogenic neutrinos, Phys. Lett. B 833, 137358 (2022).
  50. T. J. Weiler, Resonant absorption of cosmic ray neutrinos by the relic neutrino background, Phys. Rev. Lett. 49, 234 (1982).
  51. D. Budker, P. W. Graham, M. Ledbetter, S. Rajendran, and A. Sushkov, Proposal for a cosmic axion spin precession experiment (CASPEr), Phys. Rev. X 4, 021030 (2014).
  52. D. F. Jackson Kimball et al., Overview of the cosmic axion spin precession experiment (CASPEr), Springer Proc. Phys. 245, 105 (2020).
  53. J. Walter et al., Search for axionlike dark matter using liquid-state nuclear magnetic resonance, Phys. Rev. D 112, 052008 (2025).
  54. A. Bohr and B. R. Mottelson, Nuclear Structure (World Scientific, Singapore, 1998), Vol. 1.
  55. I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, T. Schwetz, and A. Zhou, The fate of hints: Updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 09 (2020) 178.
  56. P. F. de Salas, D. V. Forero, S. Gariazzo, P. Martínez-Miravé, O. Mena, C. A. Ternes, M. Tórtola, and J. W. F. Valle, 2020 global reassessment of the neutrino oscillation picture, J. High Energy Phys. 02 (2021) 071.
  57. F. Capozzi, E. Di Valentino, E. Lisi, A. Marrone, A. Melchiorri, and A. Palazzo, Global constraints on absolute neutrino masses and their ordering, Phys. Rev. D 95, 096014 (2017).
  58. R. Gans, Strahlungsdiagramme ultramikroskopischer Teilchen, Ann. Phys. (Berlin) 381, 29 (1925).
  59. G. Lindblad, On the generators of quantum dynamical semigroups, Commun. Math. Phys. 48, 119 (1976).
  60. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of N level systems, J. Math. Phys. (N.Y.) 17, 821 (1976).
  61. D. Manzano, A short introduction to the Lindblad master equation, AIP Adv. 10, 025106 (2020).
  62. N. Shammah, S. Ahmed, N. Lambert, S. De Liberato, and F. Nori, Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance, Phys. Rev. A 98, 063815 (2018).
  63. R. H. Dicke, Coherence in spontaneous radiation processes, Phys. Rev. 93, 99 (1954).
  64. M. Gross and S. Haroche, Superradiance: An essay on the theory of collective spontaneous emission, Phys. Rep. 93, 301 (1982).
  65. S. J. Masson and A. Asenjo-Garcia, Universality of dicke superradiance in arrays of quantum emitters, Nat. Commun. 13, 2285 (2022).
  66. N. Shammah, N. Lambert, F. Nori, and S. De Liberato, Superradiance with local phase-breaking effects, Phys. Rev. A 96 (2017).
  67. E. Boyers, G. Goldstein, and A. O. Sushkov, Spin squeezing of macroscopic nuclear spin ensembles, Phys. Rev. D 111, 052004 (2025).
  68. K. Bondarenko, A. Boyarsky, J. Pradler, and A. Sokolenko, Best-case scenarios for neutrino capture experiments, J. Cosmol. Astropart. Phys. 10 (2023) 026.
  69. H. J. Carmichael, Statistical Methods in Quantum Optics (Springer-Verlag, Berlin, 1999), Vol. 1.
  70. M. Lax, Formal theory of quantum fluctuations from a driven state, Phys. Rev. 129, 2342 (1963).
  71. T. Prohaska et al., Standard atomic weights of the elements 2021 (IUPAC technical report). Pure Appl. Chem. 94, 573 (2022).
  72. M. V. Romalis and M. P. Ledbetter, Transverse spin relaxation in liquid xe129 in the presence of large dipolar fields, Phys. Rev. Lett. 87, 067601 (2001).
  73. T. G. Walker and W. Happer, Spin-exchange optical pumping of noble-gas nuclei, Rev. Mod. Phys. 69, 629 (1997).
  74. P. Nikolaou, A. M. Coffey, K. Ranta, L. L. Walkup, B. M. Gust, M. J. Barlow, M. S. Rosen, B. M. Goodson, and E. Y. Chekmenev, Multidimensional mapping of spin-exchange optical pumping in clinical-scale batch-mode 129Xe hyperpolarizers, J. Phys. Chem. B 118, 4809 (2014).
  75. M. E. Limes, Z. L. Ma, E. G. Sorte, and B. Saam, Robust solid Xe129 longitudinal relaxation times, Phys. Rev. B 94, 094309 (2016).
  76. M. Galanis, O. Hosten, A. Arvanitaki, and S. Dimopoulos, Toward 48 dB spin squeezing and 96 dB signal magnification for cosmic relic searches with nuclear spins, arXiv:2508.20520.
  77. https://github.com/gpierobon/OpenNu.
  78. J. Eills, D. Budker, S. Cavagnero, E. Y. Chekmenev, S. J. Elliott, S. Jannin, A. Lesage, J. Matysik, T. Meersmann, T. Prisner et al., Spin hyperpolarization in modern magnetic resonance, Chem. Rev. 123, 1417 (2023).
  79. T. G. Walker, Fundamentals of spin-exchange optical pumping, J. Phys. Conf. Ser. 294, 012001 (2011).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation