Abstract
The dynamics of ultracold neutral atoms subject to a non-Abelian gauge field is investigated. In particular we analyze in detail a simple experimental scheme to achieve a constant, but non-Abelian gauge field, and discuss in the frame of this gauge field the non-Abelian Aharanov–Bohm effect. In the last part of this paper, we discuss intrinsic non-Abelian effects in the dynamics of cold atomic wavepackets.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.D. Jackson, Classical Electrodynamics (Wiley, New York, 2002)
C.A. Mead, Rev. Mod. Phys. 64, 51 (1992)
O.D. Lavrentovich, JETP Lett. 43, 382 (1986)
M.N. Chernodub, JETP Lett, 83, 268 (2006)
F. Wilczek, A. Zee, Phys. Rev. Lett. 52, 2111 (1984)
J. Ruseckas, G. Juzeliūnas, P. Öhberg, M. Fleischhauer, Phys. Rev. Lett. 95, 010404 (2005)
K. Osterloh, M. Baig, L. Santos, P. Zoller, M. Lewenstein, Phys. Rev. Lett. 95, 010403 (2005)
P.A. Horváthy, Phys. Rev. Lett. 95, 010403 (2005)
R. Unanyan, M. Fleischhauer, B.W. Shore, K. Bergmann, Opt. Commun. 155, 144 (1998)
R. Unanyan, B.W. Shore, K. Bergmann, Phys. Rev. A 59, 2910 (1999)
D. McGloin, G.C. Spalding, H. Melville, W. Sibbett, K. Dholakia, Opt. Express 11, 158 (2003)
G. Whyte, J. Courtial, New J. Phys. 7, 117 (2005)
G. Juzeliūnas, P. Öhberg, Phys. Rev. Lett. 93, 033602 (2004)
G. Juzeliūnas, J. Ruseckas, P. Öhberg, A. Klein, Phys. Rev. A 71, 053614 (2005)
G. Juzeliūnas, J. Ruseckas, P. Öhberg, M. Fleischhauer, Phys. Rev. A 73, 025602 (2006)
C.G. Aminoff, A.M. Steane, P. Bouyer, P. Desbiolles, J. Dalibard, C. Cohen-Tannoudji, Phys. Rev. Lett. 71, 3083 (1993)
K. Bongs, S. Burger, G. Birkl, K. Sengstock, W. Ertmer, K. Rza̧żewski, A. Sanpera, M. Lewenstein, Phys. Rev. Lett. 83, 3577 (1999)
A.S. Arnold, M.J. Pritchard, D.A. Smith, I.G. Hughes, New J. Phys. 8, 53 (2006)
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS
03.75.Hh
Rights and permissions
About this article
Cite this article
Jacob, A., Öhberg, P., Juzeliūnas, G. et al. Cold atom dynamics in non-Abelian gauge fields. Appl. Phys. B 89, 439–445 (2007). https://doi.org/10.1007/s00340-007-2865-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-007-2865-6