Atomic Zitterbewegung in Abelian vector gauge potentials

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 4, 2009, Pages

  Song, Jian Jun ^a   Foreman, Bradley A ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ALKALI METAL ATOMS; COLD ATOMS; DARK STATE; LARGE AMPLITUDE; LASER AXIS; VECTOR POTENTIAL;

ALKALI METALS; ATOMS; GAGES; GAUSSIAN BEAMS;

VECTORS;

EID: 70350222343     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.045602     Document Type: Article

References (35)

1. E. Schrödinger, Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl. 24, 418 (1930).
2. J. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Reading, MA, 1967).
3. K. Huang, Am. J. Phys. 20, 479 (1952). 10.1119/1.1933296
4. J. Schliemann, D. Loss, and R. M. Westervelt, Phys. Rev. Lett. 94, 206801 (2005). 10.1103/PhysRevLett.94.206801
5. M. I. Katsnelson, Eur. Phys. J. B 51, 157 (2006). 10.1140/epjb/e2006- 00203-1
6. B. Trauzettel, Y. M. Blanter, and A. F. Morpurgo, Phys. Rev. B 75, 035305 (2007). 10.1103/PhysRevB.75.035305
7. N. Shmueli, A. Yacoby, and Y. Imry, Europhys. Lett. 29, 711 (1995). 10.1209/0295-5075/29/9/010
8. D. Lurié and S. Cremer, Physica 50, 224 (1970). 10.1016/0031-8914(70)90004-2
9. X. Zhang, Phys. Rev. Lett. 100, 113903 (2008). 10.1103/PhysRevLett.100. 113903
10. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Clarendon, Oxford, 2003).
11. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 80, 1215 (2008). 10.1103/RevModPhys.80.1215
12. J. Ruseckas, G. Juzeliunas, P. Öhberg, and M. Fleischhauer, Phys. Rev. Lett. 95, 010404 (2005). 10.1103/PhysRevLett.95.010404
13. Y.-J. Lin, R. L. Compton, A. R. Perry, W. D. Phillips, J. V. Porto, and I. B. Spielman, Phys. Rev. Lett. 102, 130401 (2009). 10.1103/PhysRevLett.102. 130401
14. M. Cheneau, S. P. Rath, T. Yefsah, K. J. Günter, G. Juzeliunas, and J. Dalibard, Europhys. Lett. 83, 60001 (2008). 10.1209/0295-5075/83/60001
15. J. Y. Vaishnav and C. W. Clark, Phys. Rev. Lett. 100, 153002 (2008). 10.1103/PhysRevLett.100.153002
16. M. Merkl, F. E. Zimmer, G. Juzeliunas, and P. Öhberg, Europhys. Lett. 83, 54002 (2008). 10.1209/0295-5075/83/54002
17. F. Wilczek and A. Zee, Phys. Rev. Lett. 52, 2111 (1984). 10.1103/PhysRevLett.52.2111
18. R. Dum and M. Olshanii, Phys. Rev. Lett. 76, 1788 (1996). 10.1103/PhysRevLett.76.1788
19. M. Fleischhauer, A. Imamoglu, and J. Marangos, Rev. Mod. Phys. 77, 633 (2005). 10.1103/RevModPhys.77.633
20. J.-J. Song, B. A. Foreman, X.-J. Liu, and C. H. Oh, Europhys. Lett. 84, 20012 (2008). 10.1209/0295-5075/84/20012
21. W. Happer and B. S. Mathur, Phys. Rev. 163, 12 (1967). 10.1103/PhysRev.163.12
22. C. Cohen-Tannoudji and J. Dupont-Roc, Phys. Rev. A 5, 968 (1972). 10.1103/PhysRevA.5.968
23. J. J. Sakurai, Modern Quantum Mechanics, Revised ed. (Addison-Wesley, New York, 1994).
24. R. Winkler, U. Zülicke, and J. Bolte, Phys. Rev. B 75, 205314 (2007). 10.1103/PhysRevB.75.205314
25. M.-O. Mewes, M. R. Andrews, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett. 78, 582 (1997). 10.1103/PhysRevLett.78.582
26. B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998). 10.1126/science.282.5394.1686
27. E. W. Hagley, L. Deng, M. Kozuma, J. Wen, K. Helmerson, S. L. Rolston, and W. D. Phillips, Science 283, 1706 (1999). 10.1126/science.283.5408.1706
28. I. Bloch, T. W. Hänsch, and T. Esslinger, Phys. Rev. Lett. 82, 3008 (1999). 10.1103/PhysRevLett.82.3008
29. G. Cennini, G. Ritt, C. Geckeler, and M. Weitz, Phys. Rev. Lett. 91, 240408 (2003). 10.1103/PhysRevLett.91.240408
30. A. Couvert, M. Jeppesen, T. Kawalec, G. Reinaudi, R. Mathevet, and D. Guéry-Odelin, Europhys. Lett. 83, 50001 (2008). 10.1209/0295-5075/83/ 50001
31. A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, and C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988). 10.1103/PhysRevLett.61.826
32. T. Esslinger, F. Sander, M. Weidemüller, A. Hemmerich, and T. W. Hänsch, Phys. Rev. Lett. 76, 2432 (1996). 10.1103/PhysRevLett.76.2432
33. B. Saubaméa, T. W. Hijmans, S. Kulin, E. Rasel, E. Peik, M. Leduc, and C. Cohen-Tannoudji, Phys. Rev. Lett. 79, 3146 (1997). 10.1103/PhysRevLett. 79.3146
34. F. Bardou, J.-P. Bouchaud, A. Aspect, and C. Cohen-Tannoudji, Lévy Statistics and Laser Cooling (Cambridge University Press, Cambridge, England, 2002).
35. In the system proposed by Merkl, a trap is used to confine the atomic motion to one dimension, but the ZB still vanishes if the laser parameters are chosen so that the components of the vector potential parallel and perpendicular to the trap axis commute.