Abstract
Studies of the scattering of light on systems of identical atoms under conditions of their quantum degeneracy have been reviewed. The formation of a periodic spatial structure caused by the interference of material waves is responsible for coherent resonance scattering similar to Bragg diffraction on regular spatial inhomogeneities. The interference of macroscopic material waves that is observed in experiments with a Bose–Einstein condensate forms a dielectric medium in the region of optical transparency of the sample that has the properties of a photonic crystal. Common characteristics and differences between the scattering of light on atomic systems under quantum degeneracy conditions and scattering on one-dimensional atomic lattices where the positions of atoms are described by classical statistics have been discussed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. S. Polzik, A. S. Sorensen, and K. Hammerer, Rev. Mod. Phys. 82, 1041 (2010).
K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, Nature (London, U.K.) 452, 67 (2008).
N. Sangouard, C. Simon, H. de Riedmatten, and N. Gisin, Rev. Mod. Phys. 83, 33 (2011).
A. G. Radnaev, Y. O. Dudin, R. Zhao, H. H. Jen, S. D. Jenkins, A. Kuzmich, and T. A. B. Kennedy, Nat. Phys. 6, 894 (2010).
X.-H. Bao, A. Reingruber, P. Dietrich, J. Rui, A. Dück, T. Strassel, L. Li, N.-L. Liu, B. Zhao, and J.-W. Pan, Nat. Phys. 8, 517 (2012).
D. V. Kupriyanov, I. M. Sokolov, and M. D. Havey, Phys. Rep. 671, 1 (2017).
T. Kovachy, J. M. Hogan, A. Sugarbaker, S. M. Dickerson, C. A. Donnelly, C. Overstreet, and M. A. Kasevich, Phys. Rev. Lett. 114, 143004 (2015).
M. G. Bason, R. Heck, M. Napolitano, O. Elíasson, R.Müller, A. Thorsen, W.-Zh. Zhang, J. J. Arlt, and J. F. Sherson, J. Phys. B: At. Mol. Opt. Phys. 51, 175301 (2018).
D. J. Brown, A. V. H. McPhail, D. H. White, D. Baillie, S. K. Ruddell, and M. D. Hoogerland, Phys. Rev. A 98, 013606 (2018).
D. S. Naik, G. Kuyumjyan, D. Pandey, P. Bouyer, and A. Bertoldi, Quantum Sci. Technol. 3, 045009 (2018).
V. D. Vaidya, Y. Guo, R. M. Kroeze, K. E. Ballantine, A. J. Kollár, J. Keeling, and B. L. Lev, Phys. Rev. X 8, 011002 (2018).
A. V. Turlapov and M. Yu. Kagan, J. Phys.: Condens. Matter 29, 383004 (2017).
T. Kovachy, P. Asenbaum, C. Overstreet, C. A. Donnelly, S. M. Dickerson, A. Sugarbaker, J. M. Hogan, and M. A. Kasevich, Nature (London, U.K.) 528, 530 (2015).
S. Abend, M. Gebbe, M. Gersemann, H. Ahlers, H. Müntinga, E. Giese, N. Gaaloul, C. Schubert, C. Lämmerzahl, W. Ertmer, W. P. Schleich, and E. M. Rasel, Phys. Rev. Lett. 117, 203003 (2016).
K. S. Hardman, P. J. Everitt, G. D. McDonald, P. Manju, P. B. Wigley, M. A. Sooriyabandara, C. C. N. Kuhn, J. E. Debs, J. D. Close, and N. P. Robins, Phys. Rev. Lett. 117, 138501 (2016).
T. Laudat, V. Dugrain, T. Mazzoni, M.-Z. Huang, C. L. Garrido Alzar, A. Sinatra, P. Rosenbusch, and J. Reichel, New J. Phys. 20, 073018 (2018).
D. Schneble, Y. Torii, M. Boyd, E. W. Streed, D. E. Pritchard, and W. Ketterle, Science (Washington, DC, U. S.) 300, 475 (2003).
A. Hilliard, F. Kaminski, R. le Targat, C. Olausson, E. S. Polzik, and J. H. Müller, Phys. Rev. A 78, 051403(R) (2008).
B. J. Lester, N. Luick, A. M. Kaufman, C. M. Reynolds, and C. A. Regal, Phys. Rev. Lett. 115, 073003 (2015).
D. Barredo, S. de Léséleuc, V. Lienhard, T. Lahaye, and A. Browaeys, Science (Washington, DC, U. S.) 354, 1021 (2016).
M. Endres, H. Bernien, A. Keesling, H. Levine, E. R. Anschuetz, A. Krajenbrink, C. Senko, V. Vuletić, M. Greiner, and M. D. Lukin, Science (Washington, DC, U. S.) 354, 1024 (2016).
E. Shahmoon, D. S. Wild, M. D. Lukin, and S. F. Yelin, Phys. Rev. Lett. 118, 113601 (2017).
F. Le Kien, V. I. Balykin, and K. Hakuta, Phys. Rev. A 70, 063403 (2004).
N. V. Corzo, B. Gouraud, A. Chandra, A. Goban, A. S. Sheremet, D. V. Kupriyanov, and J. Laurat, Phys. Rev. Lett. 117, 133603 (2016).
H. L. Sorensen, J.-B. Béguin, K. W. Kluge, I. Iakoupov, A. S. Sorensen, J. H. Müller, E. S. Polzik, and J. Appel, Phys. Rev. Lett. 117, 133604 (2016).
V. M. Ezhova, L. V. Gerasimov, and D. V. Kupriyanov, J. Phys.: Conf. Ser. 769, 012045 (2016).
V. A. Pivovarov, A. S. Sheremet, L. V. Gerasimov, V.M. Porozova, N. V. Corzo, J. Laurat, and D. V. Kupriyanov, Phys. Rev. A 97, 023827 (2018).
V. M. Porozova, L. V. Gerasimov, M. D. Havey, and D. V. Kupriyanov, Phys. Rev. A 97, 053805 (2018).
M. G. Moore and P. Meystre, Phys. Rev. Lett. 83, 5202 (1999).
Yu. A. Avetisyan and E. D. Trifonov, Phys. Usp. 58, 286 (2015).
N. N. Bogolubov, J. Phys. (USSR) 11, 23 (1947).
C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom–Photon Interactions. Basic Processes and Applications (Wiley, Weinheim, 1992).
E. M. Lifshits and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 9: Statistical Physics, Part II (Nauka, Moscow, 1978; Pergamon, Oxford, 1980).
G. Placzek, The Rayleigh and Raman Scattering (Lawrence Radiation Laboratory, Berkeley, 1959).
V. B. Beresteskii, E. M. Lifshits, and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 4: Quantum Electrodynamics (Nauka, Moscow, 1989; Pergamon, Oxford, 1981).
I. E. Dzyaloshinskii and L. P. Pitaevskii, Sov. Phys. JETP 9, 1282 (1959).
M. L. Goldberger and K. M. Watson, Collision Theory (Wiley, New York, 1964).
M. R. Andrews, C. G. Townsend, H.-J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science (Washington, DC, U. S.) 275, 637 (1997).
M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Pergamon, Oxford, 1959).
J. D. Joannopoulos, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, Princeton, 2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.M. Porozova, V.A. Pivovarov, L.V. Gerasimov, D.V. Kupriyanov, 2018, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 108, No. 10, pp. 726–735.
Rights and permissions
About this article
Cite this article
Porozova, V.M., Pivovarov, V.A., Gerasimov, L.V. et al. Bragg Diffraction in Atomic Systems in Quantum Degeneracy Conditions. Jetp Lett. 108, 714–721 (2018). https://doi.org/10.1134/S0021364018220137
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364018220137