- Featured in Physics
- Editors' Suggestion
- Open Access
Observation of Fermi Acceleration with Cold Atoms
Phys. Rev. Lett. 135, 025201 – Published 9 July, 2025
DOI: https://doi.org/10.1103/nrjv-pwy1
Abstract
Cosmic rays are deemed to be generated by a process known as “Fermi acceleration” in which charged particles scatter against magnetic fluctuations in astrophysical plasmas. The process itself is, however, universal, has both classical and quantum formulations, and is at the basis of dynamical systems with interesting mathematical properties, such as the celebrated Fermi-Ulam model. Despite its effectiveness in accelerating particles, Fermi acceleration has so far eluded unambiguous verifications in laboratory settings. Here, we realize a fully controllable Fermi accelerator by colliding ultracold atoms against engineered movable potential barriers. We demonstrate that our Fermi accelerator, which is only in size, can produce ultracold atomic jets with velocities above . Adding dissipation, we also experimentally test Bell’s general argument for the ensuing energy spectra, which is at the basis of any model of cosmic ray acceleration. On the one hand, our Letter effectively opens the window to the use of cold atoms to study phenomena relevant for high energy astrophysics. On the other, the performance of our Fermi accelerator is competitive with those of best-in-class accelerating methods used in quantum technology and quantum colliders, but with substantially simpler implementation and no fundamental physics limit.
Physics Subject Headings (PhySH)
Corrections
26 September, 2025
Correction: The omission of a word in the last sentence of the abstract has been fixed.
Focus
Mimicking a Cosmic Accelerator
A mechanism for accelerating charged particles in astrophysical plasmas has been reproduced with cold atoms in an optical trap.
See more in Physics
Article Text
Supplemental Material
References (59)
- M. S. Longair, High Energy Astrophysics, 3rd ed. (Cambridge University Press, Cambridge, England, 2011).
- T. K. Gaisser, R. Engel, and E. Resconi, Cosmic Rays and Particle Physics (Cambridge University Press, Cambridge, England, 2016).
- E. Fermi, On the origin of the cosmic radiation, Phys. Rev. 75, 1169 (1949).
- E. Fermi, Galactic magnetic fields and the origin of cosmic radiation, Astrophys. J. 119, 1 (1954).
- M. A. Lieberman and V. A. Godyak, From Fermi acceleration to collisionless discharge heating, IEEE Trans. Plasma Sci. 26, 955 (1998).
- K. Sacha and J. Zakrzewski, Time crystals: A review, Rep. Prog. Phys. 81, 016401 (2017).
- A. Steane, P. Szriftgiser, P. Desbiolles, and J. Dalibard, Phase modulation of atomic de Broglie waves, Phys. Rev. Lett. 74, 4972 (1995).
- J. V. José and R. Cordery, Study of a quantum Fermi-acceleration model, Phys. Rev. Lett. 56, 290 (1986).
- A. Pizzi, J. Knolle, and A. Nunnenkamp, Higher-order and fractional discrete time crystals in clean long-range interacting systems, Nat. Commun. 12, 2341 (2021).
- S. Barbosa, M. Kiefer-Emmanouilidis, F. Lang, J. Koch, and A. Widera, Stabilizing an ultracold Fermi gas against Fermi acceleration to superdiffusion through localization, arXiv:2311.08224.
- S. Ulam, On some statistical properties of dynamical systems, in Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability (University of California Press, Berkeley, 1961), Vol. 3, p. 315.
- A. Brahic, Numerical study of a simple dynamical system. I. The associated plane area-preserving mapping, Astron. Astrophys. 12, 98 (1971).
- M. A. Lieberman and A. J. Lichtenberg, Stochastic and adiabatic behavior of particles accelerated by periodic forces, Phys. Rev. A 5, 1852 (1972).
- M. A. Malkov and L. O’C. Drury, Nonlinear theory of diffusive acceleration of particles by shock waves, Rep. Prog. Phys. 64, 429 (2001).
- A. Spitkovsky, Particle acceleration in relativistic collisionless shocks: Fermi process at last?, Astrophys. J. Lett. 682, L5 (2008).
- H. Karimabadi, V. Roytershteyn, H. X. Vu, Y. A. Omelchenko, J. Scudder, W. Daughton, A. Dimmock, K. Nykyri, M. Wan, D. Sibeck, M. Tatineni, A. Majumdar, B. Loring, and B. Geveci, The link between shocks, turbulence, and magnetic reconnection in collisionless plasmas, Phys. Plasmas 21, 062308 (2014).
- D. Caprioli and A. Spitkovsky, Simulations of ion acceleration at non-relativistic shocks: I. Acceleration efficiency, Astrophys. J. 783, 91 (2014).
- D. Caprioli, C. C. Haggerty, and P. Blasi, Kinetic simulations of cosmic-ray-modified shocks. II. Particle spectra, Astrophys. J. 905, 2 (2020).
- L. O. Drury, First-order Fermi acceleration driven by magnetic reconnection, Mon. Not. R. Astron. Soc. 422, 2474 (2012).
- L. Sironi and A. Spitkovsky, Particle acceleration in relativistic magnetized collisionless electron-ion shocks, Astrophys. J. 726, 75 (2011).
- B. Cerutti, G. R. Werner, D. A. Uzdensky, and M. C. Begelman, Three-dimensional relativistic pair plasma reconnection with radiative feedback in the crab nebula, Astrophys. J. 782, 104 (2014).
- M. Petropoulou, D. Giannios, and L. Sironi, Blazar flares powered by plasmoids in relativistic reconnection, Mon. Not. R. Astron. Soc. 462, 3325 (2016).
- L. Comisso and L. Sironi, Particle acceleration in relativistic plasma turbulence, Phys. Rev. Lett. 121, 255101 (2018).
- F. Pecora, S. Servidio, A. Greco, W. H. Matthaeus, D. Burgess, C. T. Haynes, V. Carbone, and P. Veltri, Ion diffusion and acceleration in plasma turbulence, J. Plasma Phys. 84, 725840601 (2018).
- V. Zhdankin, D. A. Uzdensky, G. R. Werner, and M. C. Begelman, Electron and ion energization in relativistic plasma turbulence, Phys. Rev. Lett. 122, 055101 (2019).
- F. Fiuza, G. Swadling, A. Grassi, H. Rinderknecht, D. Higginson, D. Ryutov, C. Bruulsema, R. Drake, S. Funk, S. Glenzer et al., Electron acceleration in laboratory-produced turbulent collisionless shocks, Nat. Phys. 16, 916 (2020).
- D. B. Schaeffer, W. Fox, R. K. Follett, G. Fiksel, C. K. Li, J. Matteucci, A. Bhattacharjee, and K. Germaschewski, Direct observations of particle dynamics in magnetized collisionless shock precursors in laser-produced plasmas, Phys. Rev. Lett. 122, 245001 (2019).
- C. K. Li, V. T. Tikhonchuk, Q. Moreno, H. Sio, E. D’Humières, X. Ribeyre, P. Korneev, S. Atzeni, R. Betti, A. Birkel, E. M. Campbell, R. K. Follett, J. A. Frenje, S. X. Hu, M. Koenig, Y. Sakawa, T. C. Sangster, F. H. Seguin, H. Takabe, S. Zhang, and R. D. Petrasso, Collisionless shocks driven by supersonic plasma flows with self-generated magnetic fields, Phys. Rev. Lett. 123, 055002 (2019).
- W. Yao, A. Fazzini, S. Chen, K. Burdonov, P. Antici, J. Béard, S. Bolaños, A. Ciardi, R. Diab, E. Filippov et al., Laboratory evidence for proton energization by collisionless shock surfing, Nat. Phys. 17, 1177 (2021).
- D. Yuan, Z. Lei, H. Wei, Z. Zhang, J. Zhong, Y. Li, Y. Ping, Y. Zhang, Y. Li, F. Wang et al., Electron stochastic acceleration in laboratory-produced kinetic turbulent plasmas, Nat. Commun. 15, 5897 (2024).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/nrjv-pwy1 for details, which includes Refs. [32,33].
- A. Smith, T. Easton, V. Guarrera, and G. Barontini, Generation of optical potentials for ultracold atoms using a superluminescent diode, Phys. Rev. Res. 3, 033241 (2021).
- C. Oliver, A. Smith, T. Easton, G. Salerno, V. Guarrera, N. Goldman, G. Barontini, and H. M. Price, Bloch oscillations along a synthetic dimension of atomic trap states, Phys. Rev. Res. 5, 033001 (2023).
- R. Grimm, M. Weidemüller, and Y. B. Ovchinnikov, Optical Dipole Traps for Neutral Atoms (Academic Press, New York, 2000), pp. 95–170.
- S.-w. Chiow, T. Kovachy, H.-C. Chien, and M. A. Kasevich, large area atom interferometers, Phys. Rev. Lett. 107, 130403 (2011).
- L. Morel, Z. Yao, P. Clade, and S. Guellati-Khelifa, Determination of the fine-structure constant with an accuracy of 81 parts per trillion, Nature (London) 588, 61 (2020).
- S. Pandey, H. Mas, G. Drougakis, P. Thekkeppatt, V. Bolpasi, G. Vasilakis, K. Poulios, and W. von Klitzing, Hypersonic Bose–Einstein condensates in accelerator rings, Nature (London) 570, 205 (2019).
- A. R. Bell, The acceleration of cosmic rays in shock fronts—I, Mon. Not. R. Astron. Soc. 182, 147 (1978).
- G. Krymskii, A regular mechanism for the acceleration of charged particles on the front of a shock wave, Akad. Nauk SSSR Dokl. 234, 1306 (1977).
- W. Axford, E. Leer, and G. Skadron, The acceleration of cosmic rays by shock waves, in International Cosmic Ray Conference (Springer, New York, 1977), Vol. 11.
- R. D. Blandford and J. P. Ostriker, Particle acceleration by astrophysical shocks, Astrophys. J. 221, L29 (1978).
- A. Bell, The acceleration of cosmic rays in shock fronts–II, Mon. Not. R. Astron. Soc. 182, 443 (1978).
- M. Murabito, M. Stangalini, J. M. Laming, D. Baker, A. S. H. To, D. M. Long, D. H. Brooks, S. Jafarzadeh, D. B. Jess, and G. Valori, Observation of Alfvén wave reflection in the solar chromosphere: Ponderomotive force and first ionization potential effect, Phys. Rev. Lett. 132, 215201 (2024).
- T. K. Langin, G. M. Gorman, and T. C. Killian, Laser cooling of ions in a neutral plasma, Science 363, 61 (2019).
- T. Kroker, M. Grossman, K. Sengstock, M. Drescher, P. Wessels-Staarmann, and J. Simonet, Ultrafast electron cooling in an expanding ultracold plasma, Nat. Commun. 12, 529 (2021).
- S. Ichimaru, Strongly coupled plasmas: High-density classical plasmas and degenerate electron liquids, Rev. Mod. Phys. 54, 1017 (1982).
- C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Rev. Mod. Phys. 82, 1225 (2010).
- P. Mertsch and S. Sarkar, Fermi gamma-ray “bubbles” from stochastic acceleration of electrons, Phys. Rev. Lett. 107, 091101 (2011).
- G. Brunetti and T. W. Jones, Cosmic rays in galaxy clusters and their nonthermal emission, Int. J. Mod. Phys. D 23, 1430007 (2014).
- M. Lemoine, Effective theory for stochastic particle acceleration, with application to magnetized turbulence, arXiv:2501.19136.
- B. R. Heazlewood and T. P. Softley, Towards chemistry at absolute zero, Nat. Rev. Chem. 5, 125 (2021).
- S. Ospelkaus, K.-K. Ni, D. Wang, M. De Miranda, B. Neyenhuis, G. Quéméner, P. Julienne, J. Bohn, D. Jin, and J. Ye, Quantum-state controlled chemical reactions of ultracold potassium-rubidium molecules, Science 327, 853 (2010).
- A. Henson, S. Gersten, Y. Shagam, J. Narevicius, and E. Narevicius, Observation of resonances in penning ionization reactions at sub-Kelvin temperatures in merged beams, Science 338, 234 (2012).
- K. Gibble, S. Chang, and R. Legere, Direct observation of -wave atomic collisions, Phys. Rev. Lett. 75, 2666 (1995).
- R. A. Hart, X. Xu, R. Legere, and K. Gibble, A quantum scattering interferometer, Nature (London) 446, 892 (2007).
- T. Ryan, K. O. Roberts, E. Tiesinga, A. C. Wade, B. Blakie, A. B. Deb, and N. Kjærgaard, Multiple scattering dynamics of fermions at an isolated p-wave resonance, Nat. Commun. 7, 12069 (2016).
- G. D. McDonald, C. C. N. Kuhn, S. Bennetts, J. E. Debs, K. S. Hardman, M. Johnsson, J. D. Close, and N. P. Robins, momentum separation with Bloch oscillations in an optically guided atom interferometer, Phys. Rev. A 88, 053620 (2013).
- L. Amico, D. Anderson, M. Boshier, J.-P. Brantut, L.-C. Kwek, A. Minguzzi, and W. von Klitzing, Colloquium: Atomtronic circuits: From many-body physics to quantum technologies, Rev. Mod. Phys. 94, 041001 (2022).
- G. Barontini, J. Stinton, and V. Naniyil, Fermi acceleration with cold atoms, Rev. Mod. Phys. (2025), 10.25500/edata.bham.00001224.