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).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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
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
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
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)
V. Efimov, Phys. Lett. B 33, 563 (1970)
V. Efimov, Sov. J. Nuc. Phys. 12, 589 (1971)
V. Efimov, Nucl. Phys. A 210, 157 (1973)
E. Braaten, H.-W. Hammer, Phys. Rep. 428, 259 (2006)
E. Braaten, H.-W. Hammer, Ann. Phys. 322, 120 (2007)
H.-W. Hammer, L. Platter, Annu. Rev. Nucl. Part. Sci. 60, 207 (2010)
C.H. Greene, Phys. Today 63, 40 (2010)
F. Ferlaino, A. Zenesini, M. Berninger, B. Huang, H.-C. Nägerl, R. Grimm, Few-Body Syst. 51, 113 (2011)
T. Frederico, A. Delfino, L. Tomio, M. Yamashita, Prog. Part. Nucl. Phys. 67, 939 (2012)
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)
J. Ulmanis, S. Häfner, E.D. Kuhnle, M. Weidemüller, Natl. Sci. Rev. 3, 174 (2016)
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)
T.K. Lim, S.K. Duffy, W.C. Damer, Phys. Rev. Lett. 38, 341 (1977)
S. Nakaichi-Maeda, T.K. Lim, Phys. Rev. A 28, 692 (1983)
B.D. Esry, C.D. Lin, C.H. Greene, Phys. Rev. A 54, 394 (1996)
E. Nielsen, D.V. Fedorov, A.S. Jensen, J. Phys. B: At., Mol. Opt. Phys. 31, 4085 (1998)
D. Blume, C.H. Greene, J. Chem. Phys. 112, 8053 (2000)
W. Cencek, M. Przybytek, J. Komasa, J.B. Mehl, B. Jeziorski, K. Szalewicz, J. Chem. Phys. 136(224303), 224303 (2012)
D. Blume, C.H. Greene, B.D. Esry, J. Chem. Phys. 113, 2145 (2000)
E. Hiyama, M. Kamimura, Phys. Rev. A 85, 062505 (2012)
E. Hiyama, M. Kamimura, Phys. Rev. A 85, 022502 (2012)
D. Blume, C.H. Greene, B.D. Esry, J. Chem. Phys. 141, 069901 (2014)
W. Schöllkopf, J.P. Toennies, Science 266, 1345 (1994)
G.C. Hegerfeldt, T. Köhler, Phys. Rev. Lett. 84, 3215 (2000)
L.W. Bruch, W. Schöllkopf, J.P. Toennies, J. Chem. Phys. 117, 1544 (2002)
R. Brühl, A. Kalinin, O. Kornilov, J.P. Toennies, G.C. Hegerfeldt, M. Stoll, Phys. Rev. Lett. 95, 063002 (2005)
E. Hiyama, M. Kamimura, Phys. Rev. A 90, 052514 (2014)
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)
T. Frederico, Few-Body Syst. 55, 651 (2014)
M. Zhukov, B. Danilin, D. Fedorov, J. Bang, I. Thompson, J. Vaagen, Phys. Rep. 231, 151 (1993)
P.G. Hansen, A.S. Jensen, B. Jonson, Annu. Rev. Nucl. Part. Sci. 45, 591 (1995)
A.S. Jensen, K. Riisager, D.V. Fedorov, E. Garrido, Rev. Mod. Phys. 76, 215 (2004)
K. Riisager, Phys. Scr. 2013, 014001 (2013)
J. Carlson, R. Schiavilla, Rev. Mod. Phys. 70, 743 (1998)
D.V. Fedorov, A.S. Jensen, K. Riisager, Phys. Rev. Lett. 73, 2817 (1994)
B. Acharya, C. Ji, D. Phillips, Phys. Lett. B 723, 196 (2013)
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)
G. Hagen, P. Hagen, H.-W. Hammer, L. Platter, Phys. Rev. Lett. 111, 132501 (2013)
K.W. Kemper, P.D. Cottle, Physics 3, 13 (2010)
J.-M. Lévy-Leblond, Phys. Rev. 153, 1 (1967)
O.H. Crawford, Proceedings of the Physical Society 91, 279 (1967)
H.E. Camblong, L.N. Epele, H. Fanchiotti, C.A. García, Canal. Phys. Rev. Lett. 87, 220402 (2001)
P.R. Giri, K.S. Gupta, S. Meljanac, A. Samsarov, Phys. Lett. A 372, 2967 (2008)
W. Domcke, L.S. Cederbaum, J. Phys. B: At. Mol. Phys. 14, 149 (1981)
C. Desfrançois, H. Abdoul-Carime, J.P. Schermann, Int. J. Mod. Phys. B 10, 1339 (1996)
K.D. Jordan, F. Wang, Annu. Rev. Phys. Chem. 54, 367 (2003)
J. Simons, J. Phys. Chem. A 112, 6401 (2008)
G.F. Gribakin, J.A. Young, C.M. Surko, Rev. Mod. Phys. 82, 2557 (2010)
T. Pal, P. Sadhukhan, S.M. Bhattacharjee, Phys. Rev. Lett. 110, 028105 (2013)
Y. Nishida, Y. Kato, C.D. Batista, Nature (2013)
I.C. Liu, J.M. Rost, Eur. Phys. J. D 40, 65 (2006)
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)
I.C.H. Liu, J. Stanojevic, J.M. Rost, Phys. Rev. Lett. 102, 173001 (2009)
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)
J. Han, Phys. Rev. A 82, 052501 (2010)
N. Samboy, R. Côté, Phys. Rev. A 87, 032512 (2013)
J. Manz, R. Meyer, E. Pollak, J. Rmelt, Chem. Phys. Lett. 93, 184 (1982)
J. Manz, R. Meyer, J. Rmelt, Chem. Phys. Lett. 96, 607 (1983)
J. Macek, Zeitschrift für Physik D Atoms, Molecules and Clusters 3, 31 (1986)
J.H. Macek, Phys. Scr. 76, C3 (2007)
D.G. Fleming, J. Manz, K. Sato, T. Takayanagi, Angew. Chem. Int. Ed. 53, 13706 (2014)
C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)
T. Köhler, K. Góral, P.S. Julienne, Rev. Mod. Phys. 78, 1311 (2006)
B.D. Esry, C.H. Greene, J.P. Burke, Phys. Rev. Lett. 83, 1751 (1999)
E. Nielsen, J.H. Macek, Phys. Rev. Lett. 83, 1566 (1999)
P.F. Bedaque, E. Braaten, H.-W. Hammer, Phys. Rev. Lett. 85, 908 (2000)
T. Lompe, T.B. Ottenstein, F. Serwane, A.N. Wenz, G. Zürn, S. Jochim, Science 330, 940 (2010)
S. Nakajima, M. Horikoshi, T. Mukaiyama, P. Naidon, M. Ueda, Phys. Rev. Lett. 106, 143201 (2011)
O. Machtey, Z. Shotan, N. Gross, L. Khaykovich, Phys. Rev. Lett. 108, 210406 (2012)
B. Huang, L.A. Sidorenkov, R. Grimm, J.M. Hutson, Phys. Rev. Lett. 112, 190401 (2014)
J.R. Williams, E.L. Hazlett, J.H. Huckans, R.W. Stites, Y. Zhang, K.M. O’Hara, Phys. Rev. Lett. 103, 130404 (2009)
J.P. D’Incao, B.D. Esry, Phys. Rev. A 73, 030703 (2006)
Y. Wang, J. Wang, J.P. D’Incao, C.H. Greene, Phys. Rev. Lett. 109, 243201 (2012)
G. Barontini, C. Weber, F. Rabatti, J. Catani, G. Thalhammer, M. Inguscio, F. Minardi, Phys. Rev. Lett. 103, 043201 (2009)
G. Barontini, C. Weber, F. Rabatti, J. Catani, G. Thalhammer, M. Inguscio, F. Minardi, Phys. Rev. Lett. 104, 059901(E) (2010)
J.P. D’Incao, H. Suno, B.D. Esry, Phys. Rev. Lett. 93, 123201 (2004)
R.S. Bloom, M.-G. Hu, T.D. Cumby, D.S. Jin, Phys. Rev. Lett. 111, 105301 (2013)
M.-G. Hu, R.S. Bloom, D.S. Jin, J.M. Goldwin, Phys. Rev. A 90, 013619 (2014)
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)
R.A.W. Maier, M. Eisele, E. Tiemann, C. Zimmermann, Phys. Rev. Lett. 115, 043201 (2015)
K. Helfrich, H.-W. Hammer, D.S. Petrov, Phys. Rev. A 81, 042715 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-51862-6_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-51861-9
Online ISBN: 978-3-319-51862-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)