Scattering is used to probe matter and its interactions in all areas of physics. In ultracold atomic gases, control over pairwise interactions enables us to investigate scattering in quantum many-body systems1. Previous experiments on colliding Bose–Einstein condensates have revealed matter–wave interference2,3, haloes of scattered atoms4,5, four-wave mixing6,7 and correlations between counter-propagating pairs8,9,10. However, a regime with strong stimulation of spontaneous collisions11,12,13,14,15,16,17,18,19,20 analogous to superradiance21,22,23 has proved elusive. In this regime, the collisions rapidly produce highly correlated states with macroscopic population. Here we find that runaway stimulated collisions in Bose–Einstein condensates with periodically modulated interaction strength cause the collective emission of matter-wave jets that resemble fireworks. Jets appear only above a threshold modulation amplitude and their correlations are invariant even when the number of ejected atoms grows exponentially. Hence, we show that the structures and atom occupancies of the jets stem from the quantum fluctuations of the condensate. Our findings demonstrate the conditions required for runaway stimulated collisions and reveal the quantum nature of matter-wave emission.
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Chin, C., Julienne, P. & Tiesinga, E. Feshbach resonances in ultracold gases. Rev. Mod. Phys. 82, 1225–1286 (2010)
Andrews, M. R. et al. Observation of interference between two Bose condensates. Science 275, 637–641 (1997)
Anderson, B. P. & Kasevich, M. A. Macroscopic quantum interference from atomic tunnel arrays. Science 282, 1686–1689 (1998)
Chikkatur, A. P. et al. Suppression and enhancement of impurity scattering in a Bose-Einstein condensate. Phys. Rev. Lett. 85, 483–486 (2000)
Buggle, C., Léonard, J., Von Klitzing, W. & Walraven, J. T. M. Interferometric determination of the s and d-wave scattering amplitudes in 87Rb. Phys. Rev. Lett. 93, 173202 (2004)
Deng, L. et al. Four-wave mixing with matter waves. Nature 398, 218–220 (1999)
Vogels, J. M., Xu, K. & Ketterle, W. Generation of macroscopic pair-correlated atomic beams by four-wave mixing in Bose-Einstein condensates. Phys. Rev. Lett. 89, 020401 (2002)
Perrin, A. et al. Observation of atom pairs in spontaneous four-wave mixing of two colliding Bose-Einstein condensates. Phys. Rev. Lett. 99, 150405 (2007)
Perrin, A. et al. Atomic four-wave mixing via condensate collisions. New J. Phys. 10, 045021 (2008)
Jaskula, J. C. et al. Sub-poissonian number differences in four-wave mixing of matter waves. Phys. Rev. Lett. 105, 190402 (2010)
Pu, H. & Meystre, P. Creating macroscopic atomic Einstein-Podolsky-Rosen states from Bose-Einstein condensates. Phys. Rev. Lett. 85, 3987–3990 (2000)
Duan, L. M., Sørensen, A., Cirac, J. I. & Zoller, P. Squeezing and entanglement of atomic beams. Phys. Rev. Lett. 85, 3991–3994 (2000)
Vardi, A. & Moore, M. G. Directional “superradiant” collisions: bosonic amplification of atom pairs emitted from an elongated Bose-Einstein condensate. Phys. Rev. Lett. 89, 090403 (2002)
Bach, R., Trippenbach, M. & Rza¸z˙ewski, K. Spontaneous emission of atoms via collisions of Bose-Einstein condensates. Phys. Rev. A 65, 063605 (2002)
Zin´, P., Chweden´czuk, J., Veitia, A., Rza¸z˙ewski, K. & Trippenbach, M. Quantum multimode model of elastic scattering from Bose-Einstein condensates. Phys. Rev. Lett. 94, 200401 (2005)
Norrie, A. A., Ballagh, R. J. & Gardiner, C. W. Quantum turbulence in condensate collisions: An application of the classical field method. Phys. Rev. Lett. 94, 040401 (2005)
Ögren, M. & Kheruntsyan, K. V. Atom-atom correlations in colliding Bose-Einstein condensates. Phys. Rev. A 79, 021606 (2009)
Deuar, P. et al. Anisotropy in s-wave Bose-Einstein condensate collisions and its relationship to superradiance. Phys. Rev. A 90, 033613 (2014)
Wasak, T., Szan´kowski, P., Bücker, R., Chweden´czuk, J. & Trippenbach, M. Bogoliubov theory for atom scattering into separate regions. New J. Phys. 16, 013041 (2014)
RuGway, W., Hodgman, S. S., Dall, R. G., Johnsson, M. T. & Truscott, A. G. Correlations in amplified four-wave mixing of matter waves. Phys. Rev. Lett. 107, 075301 (2011)
Inouye, S. et al. Superradiant Rayleigh scattering from a Bose-Einstein condensate. Science 285, 571–574 (1999)
Moore, M. G. & Meystre, P. Theory of superradiant scattering of laser light from Bose-Einstein condensates. Phys. Rev. Lett. 83, 5202–5205 (1999)
Schneble, D. et al. The onset of matter-wave amplification in a superradiant Bose-Einstein condensate. Science 300, 475–478 (2003)
Pollack, S. E. et al. Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length. Phys. Rev. A 81, 053627 (2010)
Bookjans, E. M., Hamley, C. D. & Chapman, M. S. Strong quantum spin correlations observed in atomic spin mixing. Phys. Rev. Lett. 107, 210406 (2011)
Lucke, B. et al. Twin matter waves for interferometry beyond the classical limit. Science 334, 773–776 (2011)
Gross, C. et al. Atomic homodyne detection of continuous-variable entangled twin-atom states. Nature 480, 219–223 (2011)
Rapp, A., Deng, X. & Santos, L. Ultracold lattice gases with periodically modulated interactions. Phys. Rev. Lett. 109, 203005 (2012)
Meinert, F., Mark, M. J., Lauber, K., Daley, A. J. & Nägerl, H.-C. Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms. Phys. Rev. Lett. 116, 205301 (2016)
Hung, C.-L. et al. Extracting density-density correlations from in situ images of atomic quantum gases. New J. Phys. 13, 075019 (2011)
We thank E. Berg for discussions. L.W.C. is supported by the Grainger graduate fellowship. A.G. acknowledges support from a MRSEC-funded Kadanoff-Rice fellowship. This work is supported by the University of Chicago Materials Research Science and Engineering Center, which is funded by the National Science Foundation (DMR-1420709), NSF grant PHY-1511696, and the Army Research Office-Multidisciplinary Research Initiative under grant W911NF-14-1-0003.
The authors declare no competing financial interests.
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Clark, L., Gaj, A., Feng, L. et al. Collective emission of matter-wave jets from driven Bose–Einstein condensates. Nature 551, 356–359 (2017). https://doi.org/10.1038/nature24272
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