Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles

Physica A: Statistical Mechanics and its Applications

Volumn 278, Issue 3, 2000, Pages 469-496

  Schomerus, H ^a   Frahm, K M ^b   Patra, M ^a   Beenakker, C W J ^a  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b European Theoretical Spectroscopy Facility   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONATORS; CHAOS THEORY; ELECTROMAGNETIC WAVE SCATTERING; LASER RESONATORS; MATRIX ALGEBRA; POLES AND ZEROS; PROBABILITY DISTRIBUTIONS; QUANTUM THEORY; RANDOM PROCESSES;

CHAOTIC RESONATORS; PETERMANN FACTOR;

STATISTICAL MECHANICS;

EID: 0033893533     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00602-0     Document Type: Article

References (41)

1. Schawlow A.L., Townes C.H. Phys. Rev. 112:1958;1940.
2. Petermann K. IEEE J. Quant. Electron. 15:1979;566.
3. Siegman A.E. Phys. Rev. A. 39:1989;1253.
4. Siegman A.E. Phys. Rev. A. 39:1989;1264.
5. Cheng Y.-J., Fanning C.G., Siegman A.E. Phys. Rev. Lett. 77:1996;627.
6. van Eijkelenborg M.A., Lindberg Å.M., Thijssen M.S., Woerdman J.P. Phys. Rev. Lett. 77:1996;4314.
7. van Eijkelenborg M.A., Lindberg Å.M., Thijssen M.S., Woerdman J.P. Phys. Rev. A. 55:1997;4556.
8. Brunel M., Ropars G., Le Floch A., Bretenaker F. Phys. Rev. A. 55:1997;4563.
9. Grangier P., Poizat J.-P. Eur. Phys. J. D. 1:1998;97.
10. A.E. Siegman, unpublished.
11. C. Mahaux, H.A. Weidenmüller, Shell-Model Approach to Nuclear Reactions, North-Holland, Amsterdam, 1969.
12. Mandelshtam V.A., Taylor H.S. Phys. Rev. Lett. 78:1997;3274.
13. F. Haake, Quantum Signatures of Chaos, Springer, Berlin, 1991.
14. M. Mehta, Random Matrices, Academic, New York, 1990.
15. Sokolov V., Zelevinsky G. Phys. Lett. B. 202:1988;10.
16. Sokolov V., Zelevinsky G. Nucl. Phys. A. 504:1989;562.
17. Y.V. Fyodorov, H.-J. Sommers, Pis'ma Zh. Éksp. Teor. Fiz. 63 (1996) 970 [JETP Lett. 63 (1996) 1026].
18. Y.V. Fyodorov, H.-J. Sommers, Pis'ma Zh. Éksp. Teor. Fiz. 63 (1996) 970 [JETP Lett. 63 (1996) 1026].
19. Fyodorov Y.V., Sommers H.-J. J. Math. Phys. 38:1997;1918.
20. Sommers H.-J., Fyodorov Y.V., Titor M. J. Phys. A. 32:1999;L77.
21. R.A. Janik, W. Noerenberg, M.A. Nowak, G. Papp, I. Zahed, preprint (cond-mat / 9902314).
22. Chalker J.T., Mehlig B. Phys. Rev. Lett. 81:1998;3367.
23. B. Mehlig, J.T. Chalker, preprint (cond-mat / 9906279).
24. Patra M., Schomerus H., Beenakker C.W.J. Phys. Rev. A. 61:2000;23810.
25. Frahm K.M., Schomerus H., Patra M., Beenakker C.W.J. Europhys. Lett. 49:2000;48.
26. Verbaarschot J.J.M., Weidenmüller H.A., Zirnbauer M.R. Phys. Rep. 129:1985;367.
27. Jeffers J., Imoto N., Loudon R. Phys. Rev. A. 47:1993;3346.
28. Beenakker C.W.J. Phys. Rev. Lett. 81:1998;1829.
29. Goldberg P., Milonni P.W., Sundaram B. Phys. Rev. A. 44:1991;1969.
30. Beenakker C.W.J. Rev. Mod. Phys. 69:1997;731.
31. Misirpashaev T.S., Beenakker C.W.J. Phys. Rev. A. 57:1998;2041.
32. von Oppen F. Phys. Rev. Lett. 73:1994;798.
33. von Oppen F. Phys. Rev. E. 51:1995;2647.
34. Fyodorov Y.V., Sommers H.-J. Z. Phys. B. 99:1995;123.
35. Bethe H.A. Phys. Rev. 66:1944;163.
36. Haake F., Izrailev F., Lehmann N., Saher D., Sommers H.-J. Z. Phys. B. 88:1992;359.
37. Lehmann N., Saher D., Sokolov V.V., Sommers H.-J. Nucl. Phys. A. 582:1995;223.
38. Andreev A.V., Simons B.D. Phys. Rev. Lett. 75:1995;2304.
39. Kettemann S., Klakow D., Smilansky U. J. Phys. A. 30:1997;3643.
40. Sommers H.-J., Crisanti A., Sompolinsky H., Stein Y. Phys. Rev. Lett. 60:1988;1895.
41. Efetov K.B. Adv. Phys. 32:1983;53.