Nonlinear dynamics in a single mode three-level laser without inversion

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 2, 1998, Pages 1499-1510

  Vladimirov, A G ^a   Mandel, Paul ^a   Yelin, S F ^b,c,d   Lukin, M D ^b,d   Scully, M O ^b,d  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b TEXAS A AND M UNIVERSITY   (United States)

^c UNIVERSITY OF MUNICH   (Germany)

^d MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; FREQUENCIES; LASER TUNING; MATHEMATICAL MODELS; NONLINEAR OPTICS; NUMERICAL ANALYSIS; PUMPING (LASER); QUANTUM OPTICS; RELAXATION PROCESSES; RESONANCE; RING LASERS;

ATOM FIELD DETUNING; CAVITY DETUNING; HOPF BIFURCATION; LASING WITHOUT INVERSION; LINEAR GAIN; LINEAR STABILITY ANALYSIS;

DYNAMICS;

EID: 0031998610     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1499     Document Type: Article

References (26)

1. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997).
2. O. Kocharovskaya and Ya. I. Khanin, Pis’ma Zh. Eksp. Teor. Fiz. 48, 581 (1988) [ JETP Lett. 48, 630 (1988)].
3. S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
4. M. O. Scully, S.-Y. Zhu, and A. Gavrilides, Phys. Rev. Lett. 62, 2813 (1989).
5. O. Kocharovskaya, Phys. Rep. 219, 175 (1992).
6. M. O. Scully, Phys. Rep. 219, 191 (1992).
7. P. Mandel, Contemp. Phys. 34, 235 (1993).
8. A. Nottelmann, C. Peters, and W. Lange, Phys. Rev. Lett. 70, 1783 (1993).
9. E. S. Fry, X. Li, D. Nikonov, G. G. Padmabandu, M. O. Scully, A. V. Smith, F. K. Tittel, C. Wang, S. R. Wilkinson, and S.-Y. Zhu, Phys. Rev. Lett. 70, 3235 (1993).
10. W. E. van der Veer, R. J. J. van Diest, A. Dönszelmann, and H. B. van Linden van den Heuvell, Phys. Rev. Lett. 70, 3243 (1993).
11. A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, V. L. Velichansky, and H. G. Robinson, Phys. Rev. Lett. 75, 1499 (1995).
12. G. G. Padmabandu, G. R. Welch, I. N. Shubin, E. S. Fry, D. E. Nikonov, M. D. Lukin, and M. O. Scully, Phys. Rev. Lett. 76, 2053 (1996).
13. C. Fort, F. S. Cataliotti, T. W. Hänsch, M. Inguscio, and M. Prevedelli, Opt. Commun. 139, 31 (1997)
14. S. F. Yelin, M. D. Lukin, M. O. Scully, and P. Mandel (unpublished).
15. O. Kocharovskaya, R.-D. Li, and P. Mandel, Opt. Commun. 77, 215 (1990)
16. A. Karawajczyk and J. Zakrzewski, Phys. Rev. A 51, 830 (1995).
17. V. J. Sánchez-Morcillo, E. Roldán, and G. J. de Valcárcel, Quantum Semiclassic. Opt. 7, 889 (1995).
18. R. Corbalan, J. Monpart, R. Vilaseca, and E. Arimondo (unpublished).
19. O. Kocharovskaya and P. Mandel, Opt. Commun. 84, 179 (1991)
20. O. Kocharovskaya, P. Mandel, and Y. V. Radeonychev, Phys. Rev. A 45, 1997 (1992).
21. P. Mandel and O. Kocharovskaya, Phys. Rev. A 46, 2700 (1992).
22. V.I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations (Springer, Heidelberg, 1983).
23. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer, Heidelberg, 1983).
24. J. D. Crawford, Rev. Mod. Phys. 63, 991 (1991).
25. P. Pepłowski and H. Haken, Phys. Lett. A 120, 138 (1987).
26. P. Mandel, Theoretical Problems in Cavity Nonlinear Optics (Cambridge University Press, Cambridge, 1997).