Pump-operator treatment of the ion-trap laser

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 4, 1998, Pages 3210-3220

  Meyer, Georg M ^a   Briegel, Hans Jürgen ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002969467     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.3210     Document Type: Article

References (26)

1. G. M. Meyer, H.-J. Briegel, and H. Walther, Europhys. Lett. 37, 317 (1997).EULEEJ
2. G. M. Meyer, M. Löffler, and H. Walther, Phys. Rev. A 56, 1099 (1997).PLRAAN
3. A. M. Khazanov, G. A. Koganov, and E. P. Gordov, Phys. Rev. A 42, 3065 (1990).PLRAAN
4. H. Ritsch, P. Zoller, C. W. Gardiner, and D. F. Walls, Phys. Rev. A 44, 3361 (1991).PLRAAN
5. K. M. Gheri and D. F. Walls, Phys. Rev. A 45, 6675 (1992).PLRAAN
6. H. Ritsch and M. A. M. Marte, Phys. Rev. A 47, 2354 (1993).PLRAAN
7. H.-J. Briegel, G. M. Meyer, and B.-G. Englert, Phys. Rev. A 53, 1143 (1996).PLRAAN
8. Y. Mu and C. M. Savage, Phys. Rev. A 46, 5944 (1992).PLRAAN
9. C. Ginzel, H.-J. Briegel, U. Martini, B.-G. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).PLRAAN
10. T. Pellizzari and H. Ritsch, J. Mod. Opt. 41, 609 (1994).JMOPEW
11. E. Arimondo, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 1996), Vol. XXXV, p. 257.
12. H.-J. Briegel, G. M. Meyer, and B.-G. Englert, Europhys. Lett. 33, 515 (1996).EULEEJ
13. M. O. Scully and W. E. Lamb, Jr., Phys. Rev. 159, 208 (1967).PHRVAO
14. A. S. Manka, C. H. Keitel, S.-Y. Zhu, M. Fleischhauer, L. M. Narducci, and M. O. Scully, Opt. Commun. 94, 174 (1992).OPCOB8
15. T. Gantsog, G. M. Meyer, M. O. Scully, and H. Walther, Opt. Commun. 124, 579 (1996).OPCOB8
16. We have chosen this form for the Hamilton operator because it allows us to do all the calculations with real numbers. The interaction Hamiltonian (Formula presented) is unitarily equivalent since (Formula presented) with (Formula presented).
17. H.-J. Briegel and B.-G. Englert, Phys. Rev. A 47, 3311 (1993).PLRAAN
18. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).
19. Examples of such pockets are triplet states that may couple to a pump scheme of singlet states via a dipole forbidden transition (intercombination line). Since the branching ratio between such a transition and the dipole-allowed transitions is usually less than (Formula presented), the laser process will be interrupted by such a transition typically every 10–100 s. Neglecting intercombination lines means that our equations describe the lasing process correctly as long as the ion remains in the singlet system.
20. NIST Database for Atomic Spectroscopy (NIST, Gaithersburg, 1995).
21. J. R. Fuhr and W. L. Wiese, in CRC Handbook of Chemistry and Physics, edited by D. R. Lide (CRC Press, Boca Raton, FL, 1995), p. 10-128.
22. C. Guet and W. R. Johnson, Phys. Rev. A 44, 1531 (1991).PLRAAN
23. C. E. Moore, Atomic Energy Levels (U.S. GPO, Washington, DC, 1971).
24. M. O. Scully, S.-Y. Zhu, and A. Gavrielides, Phys. Rev. Lett. 62, 2813 (1989).PRLTAO
25. M. Löffler and H. Walther, Opt. Commun. 150, 131 (1998).OPCOB8
26. U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. A 47, 4994 (1993). PLRAAN