- Open Access
Detecting gravitational signatures of dark matter with atom gradiometers
Phys. Rev. D 112, 063014 – Published 9 September, 2025
DOI: https://doi.org/10.1103/xs7b-zgtj
Abstract
We study the purely gravitational signatures of dark matter from the ultralight to the ultraheavy mass range in proposed long-baseline atom gradiometers, focusing on terrestrial designs, such as AION-km and MAGIS-km, as well as space-based concepts, such as MAGIS-space, AEDGE and . Due to its exceptional acceleration sensitivity and depending on astrophysical backgrounds, a detector similar to could detect a dark matter subcomponent which constitutes of the local dark matter energy density and is populated by compact clumps of mass between and () in an otherwise unexplored region of dark matter model space. Furthermore, because the gravitational observable depends on the relative gravitational time delay measured by spatially separated atomic clouds, we find that atom gradiometers are parametrically more sensitive than laser interferometers, such as LIGO and LISA, to fast-oscillating spacetime perturbations sourced by energy density and pressure fluctuations of ultralight dark matter. Depending on astrophysical backgrounds, a detector akin to could probe a DM overdensity of times the local dark matter energy density for masses .
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References (126)
- T. Zimmermann, J. Alvey, D. J. E. Marsh, M. Fairbairn, and J. I. Read, Phys. Rev. Lett. 134, 151001 (2025).
- A. M. Green, Nucl. Phys. B1003, 116494 (2024).
- D. Carney, S. Ghosh, G. Krnjaic, and J. M. Taylor, Phys. Rev. D 102, 072003 (2020).
- C. Blanco, B. Elshimy, R. F. Lang, and R. Orlando, Phys. Rev. D 105, 115031 (2022).
- A. Attanasio et al. (Windchime), in Snowmass 2021 (2022); arXiv:2203.07242.
- A. W. Adams and J. S. Bloom, arXiv:astro-ph/0405266.
- N. Seto and A. Cooray, Phys. Rev. D 70, 063512 (2004).
- E. D. Hall, R. X. Adhikari, V. V. Frolov, H. Müller, M. Pospelov, and R. X. Adhikari, Phys. Rev. D 98, 083019 (2018).
- A. Kawasaki, Phys. Rev. D 99, 023005 (2019).
- J. Jaeckel, S. Schenk, and M. Spannowsky, Eur. Phys. J. C 81, 828 (2021).
- S. Baum, M. A. Fedderke, and P. W. Graham, Phys. Rev. D 106, 063015 (2022).
- C.-H. Lee, R. Primulando, and M. Spinrath, Phys. Rev. D 107, 035029 (2023).
- Y. Du, V. S. H. Lee, Y. Wang, and K. M. Zurek, Phys. Rev. D 108, 122003 (2023).
- E. R. Siegel, M. P. Hertzberg, and J. N. Fry, Mon. Not. R. Astron. Soc. 382, 879 (2007).
- H. Ramani, T. Trickle, and K. M. Zurek, J. Cosmol. Astropart. Phys. 12 (2020) 033.
- J. A. Dror, H. Ramani, T. Trickle, and K. M. Zurek, Phys. Rev. D 100, 023003 (2019).
- H. A. Clark, G. F. Lewis, and P. Scott, Mon. Not. R. Astron. Soc. 456, 1394 (2016); 464, 2468(E) (2017).
- K. Kashiyama and M. Oguri, arXiv:1801.07847.
- K. Schutz and A. Liu, Phys. Rev. D 95, 023002 (2017).
- S. Baghram, N. Afshordi, and K. M. Zurek, Phys. Rev. D 84, 043511 (2011).
- V. S. H. Lee, A. Mitridate, T. Trickle, and K. M. Zurek, J. High Energy Phys. 06 (2021) 028.
- V. S. H. Lee, S. R. Taylor, T. Trickle, and K. M. Zurek, J. Cosmol. Astropart. Phys. 08 (2021) 025.
- B. Carr, F. Kuhnel, and M. Sandstad, Phys. Rev. D 94, 083504 (2016).
- B. Carr and F. Kuhnel, Annu. Rev. Nucl. Part. Sci. 70, 355 (2020).
- A. Chakraborty, P. K. Chanda, K. L. Pandey, and S. Das, Astrophys. J. 932, 119 (2022).
- M. B. Wise and Y. Zhang, J. High Energy Phys. 02 (2015) 023; 10 (2015) 165(E).
- M. B. Wise and Y. Zhang, Phys. Rev. D 90, 055030 (2014); 91, 039907(E) (2015).
- E. Hardy, R. Lasenby, J. March-Russell, and S. M. West, J. High Energy Phys. 06 (2015) 011.
- M. I. Gresham, H. K. Lou, and K. M. Zurek, Phys. Rev. D 97, 036003 (2018).
- M. I. Gresham, H. K. Lou, and K. M. Zurek, Phys. Rev. D 96, 096012 (2017).
- Y. Bai, A. J. Long, and S. Lu, Phys. Rev. D 99, 055047 (2019).
- A. Khmelnitsky and V. Rubakov, J. Cosmol. Astropart. Phys. 02 (2014) 019.
- H. Kim and A. Mitridate, Phys. Rev. D 109, 055017 (2024).
- K. K. Boddy, J. A. Dror, and A. Lam, arXiv:2502.15874.
- H. Kim, Phys. Rev. D 110, 083031 (2024).
- J. A. Dror and S. Verner, Phys. Rev. Lett. 134, 111003 (2025).
- H. Kim, J. Cosmol. Astropart. Phys. 12 (2023) 018.
- M. S. Safronova, D. Budker, D. DeMille, D. F. J. Kimball, A. Derevianko, and C. W. Clark, Rev. Mod. Phys. 90, 025008 (2018).
- S. Abend, B. Allard, I. Alonso, J. Antoniadis, H. Araújo, G. Arduini, A. S. Arnold, T. Asano, N. Augst, L. Badurina et al., AVS Quantum Sci. 6, 024701 (2024).
- A. Abdalla et al., Eur. Phys. J. Quantum Technol. 12, 42 (2025).
- L. Badurina et al., J. Cosmol. Astropart. Phys. 05 (2020) 011.
- M. Abe et al. (MAGIS-100 Collaboration), Quantum Sci. Technol. 6, 044003 (2021).
- B. Canuel et al., Sci. Rep. 8, 14064 (2018).
- B. Canuel et al., Classical Quantum Gravity 37, 225017 (2020).
- M.-S. Zhan et al., Int. J. Mod. Phys. D 29, 1940005 (2019).
- P. W. Graham, J. M. Hogan, M. A. Kasevich, S. Rajendran, and R. W. Romani (MAGIS Collaboration), arXiv:1711.02225.
- P. Wolf et al. (STE-QUEST Collaboration), arXiv:2211.15412.
- Y. A. El-Neaj et al. (AEDGE Collaboration), Eur. Phys. J. Quantum Technol. 7, 6 (2020).
- L. Badurina, O. Buchmueller, J. Ellis, M. Lewicki, C. McCabe, and V. Vaskonen, Phil. Trans. A. Math. Phys. Eng. Sci. 380, 20210060 (2021).
- S. Dimopoulos, P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, Phys. Rev. D 78, 122002 (2008).
- Y. V. Stadnik and V. V. Flambaum, Phys. Rev. Lett. 115, 201301 (2015).
- A. Arvanitaki, P. W. Graham, J. M. Hogan, S. Rajendran, and K. Van Tilburg, Phys. Rev. D 97, 075020 (2018).
- L. Badurina, D. Blas, and C. McCabe, Phys. Rev. D 105, 023006 (2022).
- L. Badurina, V. Gibson, C. McCabe, and J. Mitchell, Phys. Rev. D 107, 055002 (2023).
- L. Badurina, A. Beniwal, and C. McCabe, Phys. Rev. D 108, 083016 (2023).
- P. W. Graham, D. E. Kaplan, J. Mardon, S. Rajendran, and W. A. Terrano, Phys. Rev. D 93, 075029 (2016).
- Y. Du, C. Murgui, K. Pardo, Y. Wang, and K. M. Zurek, Phys. Rev. D 106, 095041 (2022).
- L. Badurina, C. Murgui, and R. Plestid, Phys. Rev. A 110, 033311 (2024).
- D. Blas, J. Carlton, and C. McCabe, Phys. Rev. D 111, 115020 (2025).
- H. Banks, D. M. Grabowska, and M. McCullough, Phys. Rev. D 108, 035017 (2023).
- S. Dimopoulos, P. W. Graham, J. M. Hogan, and M. A. Kasevich, Phys. Rev. Lett. 98, 111102 (2007).
- S. Dimopoulos, P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, Phys. Lett. B 678, 37 (2009).
- P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, Phys. Rev. Lett. 110, 171102 (2013).
- P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, Phys. Rev. D 94, 104022 (2016).
- P. W. Graham and S. Jung, Phys. Rev. D 97, 024052 (2018).
- J. Ellis and V. Vaskonen, Phys. Rev. D 101, 124013 (2020).
- S. Baum, Z. Bogorad, and P. W. Graham, J. Cosmol. Astropart. Phys. 05 (2024) 027.
- L. Badurina, Y. Du, V. S. H. Lee, Y. Wang, and K. M. Zurek, Phys. Rev. D 111, 042002 (2025).
- M. Rakhmanov, Phys. Rev. D 71, 084003 (2005).
- V. S. H. Lee and K. M. Zurek, Phys. Rev. D 111, 124037 (2025).
- M. Maggiore, Gravitational Waves. Vol. 1: Theory and Experiments (Oxford University Press, New York, 2007).
- S. Abend, M. Gersemann, C. Schubert, D. Schlippert, E. M. Rasel, M. Zimmermann, M. A. Efremov, A. Roura, F. A. Narducci, and W. P. Schleich, in International School of Physics ’Enrico Fermi’ Course 197 ’Foundations of Quantum Theory’, edited by E. M. Rasel, W. P. Schleich, and S. Wölk (IOS, Amsterdam; SIF, Bologna, 2019), pp. 345–392.
- C. Foot, Atomic Physics (Oxford University Press, USA, 2005).
- N. Yu and M. Tinto, Gen. Relativ. Gravit. 43, 1943 (2011).
- J. Rudolph, T. Wilkason, M. Nantel, H. Swan, C. M. Holland, Y. Jiang, B. E. Garber, S. P. Carman, and J. M. Hogan, Phys. Rev. Lett. 124, 083604 (2020).
- C. F. A. Baynham et al. (AION Collaboration), arXiv:2504.09158.
- M. Kasevich and S. Chu, Phys. Rev. Lett. 67, 181 (1991).
- J. M. McGuirk, M. J. Snadden, and M. A. Kasevich, Phys. Rev. Lett. 85, 4498 (2000).
- S. Loriani et al., New J. Phys. 21, 063030 (2019).
- M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. Blatt, T. Zanon-Willette, S. M. Foreman, and J. Ye, Phys. Rev. A 76, 022510 (2007).
- J. A. Muniz, D. J. Young, J. R. K. Cline, and J. K. Thompson, Phys. Rev. Res. 3, 023152 (2021).
- J. Carlton, V. Gibson, T. Kovachy, C. McCabe, and J. Mitchell, Phys. Rev. D 111, 082003 (2025).
- M. A. Fedderke, P. W. Graham, and S. Rajendran, Phys. Rev. D 103, 103017 (2021).
- N. Karnesis, S. Babak, M. Pieroni, N. Cornish, and T. Littenberg, Phys. Rev. D 104, 043019 (2021).
- A. J. Farmer and E. S. Phinney, Mon. Not. R. Astron. Soc. 346, 1197 (2003).
- S. Staelens and G. Nelemans, Astron. Astrophys. 683, A139 (2024).
- S. Hofman and G. Nelemans, Astron. Astrophys. 691, A261 (2024).
- G. Boileau, T. Bruel, A. Toubiana, A. Lamberts, and N. Christensen, arXiv:2506.18390.
- M. Lewicki and V. Vaskonen, Eur. Phys. J. C 83, 168 (2023).
- M. Abe et al., Quantum Sci. Technol. 6, 044003 (2021).
- S. Dimopoulos, P. W. Graham, J. M. Hogan, and M. A. Kasevich, Phys. Rev. D 78, 042003 (2008).
- A. Roura, Phys. Rev. X 10, 021014 (2020).
- M. Werner, P. K. Schwartz, J.-N. Kirsten-Siemß, N. Gaaloul, D. Giulini, and K. Hammerer, Phys. Rev. D 109, 022008 (2024).
- A. Roura, Quantum Sci. Technol. 10, 025004 (2025).
- C. J. Moore, R. H. Cole, and C. P. L. Berry, Classical Quantum Gravity 32, 015014 (2015).
- P. Storey and C. Cohen-Tannoudji, J. Phys. II (France) 4, 1999 (1994).
- K. Griest, Phys. Rev. D 37, 2703 (1988).
- R. Legere and K. Gibble, Phys. Rev. Lett. 81, 5780 (1998).
- D. Savoie, M. Altorio, B. Fang, L. A. Sidorenkov, R. Geiger, and A. Landragin, Sci. Adv. 4, eaau7948 (2018).
- J. D. Lewin and P. F. Smith, Astropart. Phys. 6, 87 (1996).
- D. Baxter et al., Eur. Phys. J. C 81, 907 (2021).
- M. A. Fedderke, P. W. Graham, and S. Rajendran, Phys. Rev. D 105, 103018 (2022).
- S. Babak, A. Petiteau, and M. Hewitson, arXiv:2108.01167.
- T. Robson, N. J. Cornish, and C. Liu, Classical Quantum Gravity 36, 105011 (2019).
- P. Amaro-Seoane et al. (LISA Collaboration), arXiv:1702.00786.
- L. Hui, J. P. Ostriker, S. Tremaine, and E. Witten, Phys. Rev. D 95, 043541 (2017).
- J. T. VanderPlas, Astrophys. J. Suppl. Ser. 236, 16 (2018).
- N. P. Pitjev and E. V. Pitjeva, Astron. Lett. 39, 141 (2013).
- S. L. Adler, J. Phys. A 41, 412002 (2008).
- B. Bertotti, L. Iess, and P. Tortora, Nature (London) 425, 374 (2003).
- D. Blas, D. L. Nacir, and S. Sibiryakov, Phys. Rev. Lett. 118, 261102 (2017).
- J. W. Foster, D. Blas, A. Bourgoin, A. Hees, M. Herrero-Valea, A. C. Jenkins, and X. Xue, arXiv:2504.15334.
- A. Afzal et al. (NANOGrav Collaboration), Astrophys. J. Lett. 951, L11 (2023); 971, L27(E) (2024);
- D. Y. Cheong, N. L. Rodd, and L.-T. Wang, Phys. Rev. D 111, 015028 (2025).
- H. Kim and A. Lenoci, Phys. Rev. D 105, 063032 (2022).
- A. Berlin, R. T. D’Agnolo, S. A. R. Ellis, and K. Zhou, Phys. Rev. D 104, L111701 (2021).
- G. P. Centers et al., Nat. Commun. 12, 7321 (2021).
- A. M. Green and B. J. Kavanagh, J. Phys. G 48, 043001 (2021).
- M. Gorghetto, E. Hardy, J. March-Russell, N. Song, and S. M. West, J. Cosmol. Astropart. Phys. 08 (2022) 018.
- M. Gorghetto, E. Hardy, and G. Villadoro, J. High Energy Phys. 08 (2024) 126.
- D. Budker, J. Eby, M. Gorghetto, M. Jiang, and G. Perez, J. Cosmol. Astropart. Phys. 12 (2023) 021.
- J. Junca, A. Bertoldi, D. Sabulsky, G. Lefèvre, X. Zou, J.-B. Decitre, R. Geiger, A. Landragin, S. Gaffet, P. Bouyer, and B. Canuel, Phys. Rev. D 99, 104026 (2019).
- J. Mitchell, T. Kovachy, S. Hahn, P. Adamson, and S. Chattopadhyay, J. Instrum. 17, E02001 (2022).
- G. Cella, in Recent Developments in General Relativity, edited by B. Casciaro, D. Fortunato, M. Francaviglia, and A. Masiello (Springer, Milan, 2000), p. 495.
- K. Yagi and N. Seto, Phys. Rev. D 83, 044011 (2011); 95, 109901(E) (2017).
- M. Maggiore, Gravitational Waves. Vol. 2: Astrophysics and Cosmology (Oxford University Press, New York, 2018).