Photons as quasicharged particles

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 4, 2008, Pages

  Marzlin, K P ^a   Appel, Jürgen ^a   Lvovsky, A I ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELDS; SCHRODINGER EQUATION; VECTORS; WAVE PROPAGATION;

GEOMETRIC EFFECTS; PARAXIAL DYNAMICS;

PHOTONS;

EID: 42149180477     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.043813     Document Type: Article

References (25)

1. M. V. Berry, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1984.0023 392, 45 (1984).
2. R. Dum and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1788 76, 1788 (1996)
3. J. Ruseckas, G. Juzeliunas, P. Ohberg, and M. Fleischhauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.010404 95, 010404 (2005)
4. K. Osterloh, M. Baig, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.010403 95, 010403 (2005).
5. U. Leonhardt and P. Piwnicki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.4301 60, 4301 (1999).
6. S. Murakami, N. Nagaosa, and S.-C. Zhang, Science SCIEAS 0036-8075 10.1126/science.1087128 301, 1348 (2003)
7. M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.066610 74, 066610 (2006)
8. K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.073903 96, 073903 (2006)
9. K. Y. Bliokh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97. 043901 97, 043901 (2006)
10. C. Duval, Z. Horvath, and P. Horvathy, J. Geom. Phys. JGPHE5 0393-0440 10.1016/j.geomphys.2006.07.003 57, 925 (2007)
11. C. Duval, Z. Horvath, and P. A. Horvathy, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.74.021701 74, 021701 (R) (2006)
12. S. Raghu and F. D. M. Haldane, e-print arXiv:cond-mat/0602501.
13. F. Vewinger, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.32.002771 32, 2771 (2007).
14. J. Appel, K.-P. Marzlin, and A. I. Lvovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.013804 73, 013804 (2006).
15. X.-J. Liu, H. Jing, and M.-L. Ge, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2006-00149-4 40, 297 (2006).
16. S. A. Moiseev and B. S. Ham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033812 73, 033812 (2006).
17. M. Fleischhauer and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.022314 65, 022314 (2002).
18. A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82. 1438 82, 1438 (1999)
19. R. Kapoor and G. S. Agarwal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.053818 61, 053818 (2000).
20. L. Karpa and M. Weitz, Nat. Phys. ZZZZZZ 1745-2473 2, 332 (2006).
21. Note that this gauge transformation acts on the EIT mode b Q only and is therefore different from the gauge transformation discussed above.
22. H. Takagi, M. Ishida, and N. Sawaki, Jpn. J. Appl. Phys. 40, 1973 (2001). 0021-4922
23. Y. Aharonov and D. Bohm, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.115. 485 115, 485 (1959).
24. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, England, 1997).
25. A single Λ system with only one excited state is not enough to generate the gauge potential. This can be seen by considering the case Q=1, where the parameter R1 of Eq. 8 can only amount to a spatially varying phase factor, R1 =exp (i 1). As a consequence, we find for the quasipotentials of Eq. 22 the explicit expressions A11 =- 1 and Φ=0. Hence A11 is equivalent to a pure gauge vector potential in classical electrodynamics and thus has no physical significance.