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Is the conventional picture of coherence time complete? Dark matter recoherence from substructures
Phys. Rev. D 114, 095013 – Published 6 November, 2026
DOI: https://doi.org/10.1103/fspm-jw37
Abstract
The local solar gravitational potential forms a basin for ultralight dark matter (ULDM) with discrete energy levels. Even if barely populated, it introduces a new characteristic timescale in DM dynamics. This necessitates a generalization of the notion of coherence time. We find that, at long times, the phenomenon of “recoherence” emerges, whereby a subcomponent of ULDM exhibits a formally divergent coherence time. The fact that this generalized coherence time can significantly exceed the naive estimate implies an enhanced sensitivity for dark matter searches that accumulate data over extended observation periods.
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References (56)
- G. Bertone and D. Hooper, History of dark matter, Rev. Mod. Phys. 90, 045002 (2018).
- M. Weber and W. de Boer, Determination of the local dark matter density in our galaxy, Astron. Astrophys. 509, A25 (2010).
- F. Nesti and P. Salucci, The local dark matter density, Proc. Sci. DSU2012 (2012) 041 [arXiv:1212.3670].
- J. Bovy and S. Tremaine, On the local dark matter density, Astrophys. J. 756, 89 (2012).
- J. I. Read, The local dark matter density, J. Phys. G 41, 063101 (2014).
- N. W. Evans, C. A. J. O’Hare, and C. McCabe, Refinement of the standard halo model for dark matter searches in light of the gaia sausage, Phys. Rev. D 99, 023012 (2019).
- L. Necib, M. Lisanti, S. Garrison-Kimmel, A. Wetzel, R. Sanderson, P. F. Hopkins, C.-A. Faucher-Giguère, and D. Kereš, Under the firelight: Stellar tracers of the local dark matter velocity distribution in the Milky Way, Astrophys. J. 883, 27 (2019).
- Y. Bao, D. Y. Cheong, N. L. Rodd, J. Takach, L.-T. Wang, and K. Zhou, Intrinsically quantum effects of axion dark matter are undetectable, Phys. Rev. Lett. 136, 171601 (2026).
- J. W. Foster, N. L. Rodd, and B. R. Safdi, Revealing the dark matter halo with axion direct detection, Phys. Rev. D 97, 123006 (2018).
- G. P. Centers et al., Stochastic fluctuations of bosonic dark matter, Nat. Commun. 12, 7321 (2021).
- M. Lisanti, M. Moschella, and W. Terrano, Stochastic properties of ultralight scalar field gradients, Phys. Rev. D 104, 055037 (2021).
- H. Kim and A. Lenoci, Gravitational focusing of wave dark matter, Phys. Rev. D 105, 063032 (2022).
- V. V. Flambaum and I. B. Samsonov, Fluctuations of atomic energy levels due to axion dark matter, Phys. Rev. D 108, 075022 (2023).
- H. Kim and A. Mitridate, Stochastic ultralight dark matter fluctuations in pulsar timing arrays, Phys. Rev. D 109, 055017 (2024).
- H. Kim, A. Lenoci, G. Perez, and W. Ratzinger, Probing an ultralight QCD axion with electromagnetic quadratic interaction, Phys. Rev. D 109, 015030 (2024).
- D. Y. Cheong, N. L. Rodd, and L.-T. Wang, Quantum description of wave dark matter, Phys. Rev. D 111, 015028 (2025).
- X. Gan, H. Kim, and A. Mitridate, Probing quadratically coupled ultralight dark matter with pulsar timing arrays, Phys. Rev. D 113, 063034 (2026).
- A. Banerjee, D. Budker, J. Eby, H. Kim, and G. Perez, Relaxion stars and their detection via atomic physics, Commun. Phys. 3, 1 (2020).
- A. Banerjee, D. Budker, J. Eby, V. V. Flambaum, H. Kim, O. Matsedonskyi, and G. Perez, Searching for earth/solar axion halos, J. High Energy Phys. 09 (2020) 004.
- D. J. Kaup, Klein-Gordon Geon, Phys. Rev. 172, 1331 (1968).
- R. Ruffini and S. Bonazzola, Systems of selfgravitating particles in general relativity and the concept of an equation of state, Phys. Rev. 187, 1767 (1969).
- A. Gould, Gravitational diffusion of solar system WIMPs, Astrophys. J. 368, 610 (1991).
- E. W. Kolb and I. I. Tkachev, Axion miniclusters and Bose stars, Phys. Rev. Lett. 71, 3051 (1993).
- X. Xu and E. R. Siegel, Dark matter in the solar system, arXiv:0806.3767.
- A. H. G. Peter, Dark matter in the solar system I: The distribution function of WIMPs at the earth from solar capture, Phys. Rev. D 79, 103531 (2009).
- A. H. G. Peter, Dark matter in the solar system III: The distribution function of WIMPs at the earth from gravitational capture, Phys. Rev. D 79, 103533 (2009).
- R. Lasenby and K. Van Tilburg, Dark photons in the solar basin, Phys. Rev. D 104, 023020 (2021).
- J. Lundberg and J. Edsjo, WIMP diffusion in the solar system including solar depletion and its effect on earth capture rates, Phys. Rev. D 69, 123505 (2004).
- K. Van Tilburg, Stellar basins of gravitationally bound particles, Phys. Rev. D 104, 023019 (2021).
- D. Budker, J. Eby, M. Gorghetto, M. Jiang, and G. Perez, A generic formation mechanism of ultralight dark matter solar halos, J. Cosmol. Astropart. Phys. 12 (2023) 021.
- M. Gorghetto, E. Hardy, and G. Villadoro, More axion stars from strings, J. High Energy Phys. 08 (2024) 126.
- A. Banerjee, I. M. Bloch, Q. Bonnefoy, S. A. R. Ellis, G. Perez, I. Savoray, K. Springmann, and Y. V. Stadnik, Momentum and matter matter for axion dark matter matters on earth, J. High Energy Phys. 06 (2026) 039.
- Y. G. del Castillo, B. Hammett, and J. Jaeckel, Enhanced axion-wind near Earth’s surface, J. Cosmol. Astropart. Phys. 10 (2025) 022.
- L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, England, 1995).
- N. P. Pitjev and E. V. Pitjeva, Constraints on dark matter in the solar system, Astron. Lett. 39, 141 (2013).
- J.-P. Uzan, Varying constants, gravitation and cosmology, Living Rev. Relativity 14, 2 (2011).
- A. Arvanitaki, J. Huang, and K. Van Tilburg, Searching for dilaton dark matter with atomic clocks, Phys. Rev. D 91, 015015 (2015).
- Y. V. Stadnik and V. V. Flambaum, Can dark matter induce cosmological evolution of the fundamental constants of nature?, Phys. Rev. Lett. 115, 201301 (2015).
- A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, Searching for an oscillating massive scalar field as a dark matter candidate using atomic hyperfine frequency comparisons, Phys. Rev. Lett. 117, 061301 (2016).
- C. J. Kennedy, E. Oelker, J. M. Robinson, T. Bothwell, D. Kedar, W. R. Milner, G. E. Marti, A. Derevianko, and J. Ye, Precision metrology meets cosmology: Improved constraints on ultralight dark matter from atom-cavity frequency comparisons, Phys. Rev. Lett. 125, 201302 (2020).
- W. M. Campbell, B. T. McAllister, M. Goryachev, E. N. Ivanov, and M. E. Tobar, Searching for scalar dark matter via coupling to fundamental constants with photonic, atomic and mechanical oscillators, Phys. Rev. Lett. 126, 071301 (2021).
- R. Oswald et al., Search for dark-matter-induced oscillations of fundamental constants using molecular spectroscopy, Phys. Rev. Lett. 129, 031302 (2022).
- T. Kobayashi et al., Search for ultralight dark matter from long-term frequency comparisons of optical and microwave atomic clocks, Phys. Rev. Lett. 129, 241301 (2022).
- X. Zhang, A. Banerjee, M. Leyser, G. Perez, S. Schiller, D. Budker, and D. Antypas, Search for ultralight dark matter with spectroscopy of radio-frequency atomic transitions, Phys. Rev. Lett. 130, 251002 (2023).
- N. Sherrill et al., Analysis of atomic-clock data to constrain variations of fundamental constants, New J. Phys. 25, 093012 (2023).
- A. Banerjee, D. Budker, M. Filzinger, N. Huntemann, G. Paz, G. Perez, S. Porsev, and M. Safronova, Oscillating nuclear charge radii as sensors for ultralight dark matter, Phys. Rev. Lett. 135, 223001 (2025).
- E. Fuchs, F. Kirk, E. Madge, C. Paranjape, E. Peik, G. Perez, W. Ratzinger, and J. Tiedau, Searching for dark matter with the Th229 nuclear lineshape from laser spectroscopy, Phys. Rev. X 15, 021055 (2025).
- J. E. Kim and G. Carosi, Axions and the strong problem, Rev. Mod. Phys. 82, 557 (2010); 91, 049902(E) (2019).
- P. W. Graham, I. G. Irastorza, S. K. Lamoreaux, A. Lindner, and K. A. van Bibber, Experimental searches for the axion and axion-like particles, Annu. Rev. Nucl. Part. Sci. 65, 485 (2015).
- A. Banerjee, G. Perez, M. Safronova, I. Savoray, and A. Shalit, The phenomenology of quadratically coupled ultra light dark matter, J. High Energy Phys. 10 (2023) 042.
- M. Filzinger, S. Dörscher, R. Lange, J. Klose, M. Steinel, E. Benkler, E. Peik, C. Lisdat, and N. Huntemann, Improved limits on the coupling of ultralight bosonic dark matter to photons from optical atomic clock comparisons, Phys. Rev. Lett. 130, 253001 (2023).
- T. Z. Wilson et al., Search for a solar-bound axion halo using the global network of optical magnetometers for exotic physics searches, Phys. Rev. D 113, 115027 (2026).
- B. Allen and J. D. Romano, Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities, Phys. Rev. D 59, 102001 (1999).
- E. Thrane and J. D. Romano, Sensitivity curves for searches for gravitational-wave backgrounds, Phys. Rev. D 88, 124032 (2013).
- M. Breitbach, J. Kopp, E. Madge, T. Opferkuch, and P. Schwaller, Dark, cold, and noisy: Constraining secluded hidden sectors with gravitational waves, J. Cosmol. Astropart. Phys. 07 (2019) 007.
- J. D. Romano and N. J. Cornish, Detection methods for stochastic gravitational-wave backgrounds: A unified treatment, Living Rev. Relativity 20, 2 (2017).