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Part of the book series: Springer Theses ((Springer Theses))

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Abstract

This chapter provides a concise introduction to Efimov physics that is easily accessible to a nonspecialist. We discuss three-body physics in ultracold quantum gases and place these ideas in a wide context touching nuclear, atomic, and molecular physics. The last part deals with similarities and differences between three-body systems that consist of identical particles (homonuclear) or particles with different masses (heteronuclear).

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References

  1. T. Splettstoesser, www.scistyle.com. Own work (rendered with Cinema 4D). [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons

  2. SVG by Indolences, recoloring and ironing out some glitches done by Rainer Klute. [CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons

  3. Mstroeck, C. Bryn, transferred from en.wikipedia to Commons. [CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons

  4. T. Kraemer, M. Mark, P. Waldburger, J.G. Danzl, C. Chin, B. Engeser, A.D. Lange, K. Pilch, A. Jaakkola, H.-C. Nägerl et al., Nature 440, 315 (2006)

    Article  ADS  Google Scholar 

  5. V. Efimov, Phys. Lett. B 33, 563 (1970)

    Article  ADS  Google Scholar 

  6. V. Efimov, Sov. J. Nuc. Phys. 12, 589 (1971)

    Google Scholar 

  7. V. Efimov, Nucl. Phys. A 210, 157 (1973)

    Article  ADS  Google Scholar 

  8. E. Braaten, H.-W. Hammer, Phys. Rep. 428, 259 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  9. E. Braaten, H.-W. Hammer, Ann. Phys. 322, 120 (2007)

    Article  ADS  Google Scholar 

  10. H.-W. Hammer, L. Platter, Annu. Rev. Nucl. Part. Sci. 60, 207 (2010)

    Article  ADS  Google Scholar 

  11. C.H. Greene, Phys. Today 63, 40 (2010)

    Article  Google Scholar 

  12. F. Ferlaino, A. Zenesini, M. Berninger, B. Huang, H.-C. Nägerl, R. Grimm, Few-Body Syst. 51, 113 (2011)

    Article  ADS  Google Scholar 

  13. T. Frederico, A. Delfino, L. Tomio, M. Yamashita, Prog. Part. Nucl. Phys. 67, 939 (2012)

    Article  ADS  Google Scholar 

  14. Y. Wang, J.P. D’Incao, B.D. Esry, in Advances in Atomic, Molecular, and Optical Physics, vol. 62, Chapter 1, Ultracold Few-Body Systems (2013)

    Google Scholar 

  15. J. Ulmanis, S. Häfner, E.D. Kuhnle, M. Weidemüller, Natl. Sci. Rev. 3, 174 (2016)

    Article  Google Scholar 

  16. M. Kunitski, S. Zeller, J. Voigtsberger, A. Kalinin, L.P.H. Schmidt, M. Schöffler, A. Czasch, W. Schöllkopf, R.E. Grisenti, T. Jahnke et al., Science 348, 551 (2015)

    Article  ADS  Google Scholar 

  17. T.K. Lim, S.K. Duffy, W.C. Damer, Phys. Rev. Lett. 38, 341 (1977)

    Article  ADS  Google Scholar 

  18. S. Nakaichi-Maeda, T.K. Lim, Phys. Rev. A 28, 692 (1983)

    Article  ADS  Google Scholar 

  19. B.D. Esry, C.D. Lin, C.H. Greene, Phys. Rev. A 54, 394 (1996)

    Article  ADS  Google Scholar 

  20. E. Nielsen, D.V. Fedorov, A.S. Jensen, J. Phys. B: At., Mol. Opt. Phys. 31, 4085 (1998)

    Article  ADS  Google Scholar 

  21. D. Blume, C.H. Greene, J. Chem. Phys. 112, 8053 (2000)

    Article  ADS  Google Scholar 

  22. W. Cencek, M. Przybytek, J. Komasa, J.B. Mehl, B. Jeziorski, K. Szalewicz, J. Chem. Phys. 136(224303), 224303 (2012)

    Article  ADS  Google Scholar 

  23. D. Blume, C.H. Greene, B.D. Esry, J. Chem. Phys. 113, 2145 (2000)

    Article  ADS  Google Scholar 

  24. E. Hiyama, M. Kamimura, Phys. Rev. A 85, 062505 (2012)

    Article  ADS  Google Scholar 

  25. E. Hiyama, M. Kamimura, Phys. Rev. A 85, 022502 (2012)

    Article  ADS  Google Scholar 

  26. D. Blume, C.H. Greene, B.D. Esry, J. Chem. Phys. 141, 069901 (2014)

    Article  ADS  Google Scholar 

  27. W. Schöllkopf, J.P. Toennies, Science 266, 1345 (1994)

    Article  ADS  Google Scholar 

  28. G.C. Hegerfeldt, T. Köhler, Phys. Rev. Lett. 84, 3215 (2000)

    Article  ADS  Google Scholar 

  29. L.W. Bruch, W. Schöllkopf, J.P. Toennies, J. Chem. Phys. 117, 1544 (2002)

    Article  ADS  Google Scholar 

  30. R. Brühl, A. Kalinin, O. Kornilov, J.P. Toennies, G.C. Hegerfeldt, M. Stoll, Phys. Rev. Lett. 95, 063002 (2005)

    Article  ADS  Google Scholar 

  31. E. Hiyama, M. Kamimura, Phys. Rev. A 90, 052514 (2014)

    Article  ADS  Google Scholar 

  32. A. Dobrovolsky, G. Alkhazov, M. Andronenko, A. Bauchet, P. Egelhof, S. Fritz, H. Geissel, C. Gross, A. Khanzadeev, G. Korolev et al., Nucl. Phys. A 766, 1 (2006)

    Article  ADS  Google Scholar 

  33. T. Frederico, Few-Body Syst. 55, 651 (2014)

    Article  ADS  Google Scholar 

  34. M. Zhukov, B. Danilin, D. Fedorov, J. Bang, I. Thompson, J. Vaagen, Phys. Rep. 231, 151 (1993)

    Article  ADS  Google Scholar 

  35. P.G. Hansen, A.S. Jensen, B. Jonson, Annu. Rev. Nucl. Part. Sci. 45, 591 (1995)

    Article  ADS  Google Scholar 

  36. A.S. Jensen, K. Riisager, D.V. Fedorov, E. Garrido, Rev. Mod. Phys. 76, 215 (2004)

    Article  ADS  Google Scholar 

  37. K. Riisager, Phys. Scr. 2013, 014001 (2013)

    Article  Google Scholar 

  38. J. Carlson, R. Schiavilla, Rev. Mod. Phys. 70, 743 (1998)

    Article  ADS  Google Scholar 

  39. D.V. Fedorov, A.S. Jensen, K. Riisager, Phys. Rev. Lett. 73, 2817 (1994)

    Article  ADS  Google Scholar 

  40. B. Acharya, C. Ji, D. Phillips, Phys. Lett. B 723, 196 (2013)

    Article  ADS  Google Scholar 

  41. K. Tanaka, T. Yamaguchi, T. Suzuki, T. Ohtsubo, M. Fukuda, D. Nishimura, M. Takechi, K. Ogata, A. Ozawa, T. Izumikawa et al., Phys. Rev. Lett. 104, 062701 (2010)

    Article  ADS  Google Scholar 

  42. G. Hagen, P. Hagen, H.-W. Hammer, L. Platter, Phys. Rev. Lett. 111, 132501 (2013)

    Article  ADS  Google Scholar 

  43. K.W. Kemper, P.D. Cottle, Physics 3, 13 (2010)

    Article  Google Scholar 

  44. J.-M. Lévy-Leblond, Phys. Rev. 153, 1 (1967)

    Article  ADS  Google Scholar 

  45. O.H. Crawford, Proceedings of the Physical Society 91, 279 (1967)

    Article  ADS  Google Scholar 

  46. H.E. Camblong, L.N. Epele, H. Fanchiotti, C.A. García, Canal. Phys. Rev. Lett. 87, 220402 (2001)

    Article  ADS  Google Scholar 

  47. P.R. Giri, K.S. Gupta, S. Meljanac, A. Samsarov, Phys. Lett. A 372, 2967 (2008)

    Article  ADS  Google Scholar 

  48. W. Domcke, L.S. Cederbaum, J. Phys. B: At. Mol. Phys. 14, 149 (1981)

    Article  ADS  Google Scholar 

  49. C. Desfrançois, H. Abdoul-Carime, J.P. Schermann, Int. J. Mod. Phys. B 10, 1339 (1996)

    Article  ADS  Google Scholar 

  50. K.D. Jordan, F. Wang, Annu. Rev. Phys. Chem. 54, 367 (2003)

    Google Scholar 

  51. J. Simons, J. Phys. Chem. A 112, 6401 (2008)

    Google Scholar 

  52. G.F. Gribakin, J.A. Young, C.M. Surko, Rev. Mod. Phys. 82, 2557 (2010)

    Article  ADS  Google Scholar 

  53. T. Pal, P. Sadhukhan, S.M. Bhattacharjee, Phys. Rev. Lett. 110, 028105 (2013)

    Article  ADS  Google Scholar 

  54. Y. Nishida, Y. Kato, C.D. Batista, Nature (2013)

    Google Scholar 

  55. I.C. Liu, J.M. Rost, Eur. Phys. J. D 40, 65 (2006)

    Article  ADS  Google Scholar 

  56. H. Schempp, G. Günter, M. Robert-de Saint-Vincent, C.S. Hofmann, D. Breyel, A. Komnik, D.W. Schönleber, M. Gärttner, J. Evers, S. Whitlock, et al., Phys. Rev. Lett. 112, 013002 (2014)

    Google Scholar 

  57. I.C.H. Liu, J. Stanojevic, J.M. Rost, Phys. Rev. Lett. 102, 173001 (2009)

    Article  ADS  Google Scholar 

  58. V. Bendkowsky, B. Butscher, J. Nipper, J.B. Balewski, J.P. Shaffer, R. Löw, T. Pfau, W. Li, J. Stanojevic, T. Pohl et al., Phys. Rev. Lett. 105, 163201 (2010)

    Article  ADS  Google Scholar 

  59. J. Han, Phys. Rev. A 82, 052501 (2010)

    Article  ADS  Google Scholar 

  60. N. Samboy, R. Côté, Phys. Rev. A 87, 032512 (2013)

    Article  ADS  Google Scholar 

  61. J. Manz, R. Meyer, E. Pollak, J. Rmelt, Chem. Phys. Lett. 93, 184 (1982)

    Article  ADS  Google Scholar 

  62. J. Manz, R. Meyer, J. Rmelt, Chem. Phys. Lett. 96, 607 (1983)

    Article  ADS  Google Scholar 

  63. J. Macek, Zeitschrift für Physik D Atoms, Molecules and Clusters 3, 31 (1986)

    Google Scholar 

  64. J.H. Macek, Phys. Scr. 76, C3 (2007)

    Article  ADS  Google Scholar 

  65. D.G. Fleming, J. Manz, K. Sato, T. Takayanagi, Angew. Chem. Int. Ed. 53, 13706 (2014)

    Article  Google Scholar 

  66. C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)

    Article  ADS  Google Scholar 

  67. T. Köhler, K. Góral, P.S. Julienne, Rev. Mod. Phys. 78, 1311 (2006)

    Article  ADS  Google Scholar 

  68. B.D. Esry, C.H. Greene, J.P. Burke, Phys. Rev. Lett. 83, 1751 (1999)

    Article  ADS  Google Scholar 

  69. E. Nielsen, J.H. Macek, Phys. Rev. Lett. 83, 1566 (1999)

    Article  ADS  Google Scholar 

  70. P.F. Bedaque, E. Braaten, H.-W. Hammer, Phys. Rev. Lett. 85, 908 (2000)

    Article  ADS  Google Scholar 

  71. T. Lompe, T.B. Ottenstein, F. Serwane, A.N. Wenz, G. Zürn, S. Jochim, Science 330, 940 (2010)

    Article  ADS  Google Scholar 

  72. S. Nakajima, M. Horikoshi, T. Mukaiyama, P. Naidon, M. Ueda, Phys. Rev. Lett. 106, 143201 (2011)

    Article  ADS  Google Scholar 

  73. O. Machtey, Z. Shotan, N. Gross, L. Khaykovich, Phys. Rev. Lett. 108, 210406 (2012)

    Article  ADS  Google Scholar 

  74. B. Huang, L.A. Sidorenkov, R. Grimm, J.M. Hutson, Phys. Rev. Lett. 112, 190401 (2014)

    Article  ADS  Google Scholar 

  75. J.R. Williams, E.L. Hazlett, J.H. Huckans, R.W. Stites, Y. Zhang, K.M. O’Hara, Phys. Rev. Lett. 103, 130404 (2009)

    Article  ADS  Google Scholar 

  76. J.P. D’Incao, B.D. Esry, Phys. Rev. A 73, 030703 (2006)

    Article  Google Scholar 

  77. Y. Wang, J. Wang, J.P. D’Incao, C.H. Greene, Phys. Rev. Lett. 109, 243201 (2012)

    Article  ADS  Google Scholar 

  78. G. Barontini, C. Weber, F. Rabatti, J. Catani, G. Thalhammer, M. Inguscio, F. Minardi, Phys. Rev. Lett. 103, 043201 (2009)

    Article  ADS  Google Scholar 

  79. G. Barontini, C. Weber, F. Rabatti, J. Catani, G. Thalhammer, M. Inguscio, F. Minardi, Phys. Rev. Lett. 104, 059901(E) (2010)

    Google Scholar 

  80. J.P. D’Incao, H. Suno, B.D. Esry, Phys. Rev. Lett. 93, 123201 (2004)

    Article  ADS  Google Scholar 

  81. R.S. Bloom, M.-G. Hu, T.D. Cumby, D.S. Jin, Phys. Rev. Lett. 111, 105301 (2013)

    Article  ADS  Google Scholar 

  82. M.-G. Hu, R.S. Bloom, D.S. Jin, J.M. Goldwin, Phys. Rev. A 90, 013619 (2014)

    Article  ADS  Google Scholar 

  83. L.J. Wacker, N.B. Jørgensen, D. Birkmose, N. Winter, M. Mikkelsen, J. Sherson, N. Zinner, J.J. Arlt, Phys. Rev. Lett. 117, 163201 (2016)

    Article  ADS  Google Scholar 

  84. R.A.W. Maier, M. Eisele, E. Tiemann, C. Zimmermann, Phys. Rev. Lett. 115, 043201 (2015)

    Article  ADS  Google Scholar 

  85. K. Helfrich, H.-W. Hammer, D.S. Petrov, Phys. Rev. A 81, 042715 (2010)

    Article  ADS  Google Scholar 

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Correspondence to Juris Ulmanis .

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Ulmanis, J. (2017). Introduction. In: Heteronuclear Efimov Scenario in Ultracold Quantum Gases. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-51862-6_1

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