Entanglement and photon number probability distribution function for stimulated Raman scattering

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5402, Issue , 2004, Pages 302-313

  Kuznetsov, Sergey V ^a   Man'ko, Olga V ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

Entanglement; Photon distribution function; Photon number tomography; Quantum integrals of motion; Stimulated Raman Scattering; Symplectic tomography scheme; Tomogram

Indexed keywords

BRILLOUIN SCATTERING; DEGREES OF FREEDOM (MECHANICS); GROUND STATE; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; POLYNOMIALS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; QUANTUM OPTICS; TOMOGRAPHY;

ENTANGLEMENT; PHOTON DISTRIBUTION FUNCTION; PHOTON NUMBER TOMOGRAPHY; QUANTUM INTEGRALS OF MOTION; STIMULATED RAMAN SCATTERING (SRS); SYMPLETIC TOMOGRAPHY SCHEMES; TOMOGRAMS;

RAMAN SCATTERING;

EID: 3042594899     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.562224     Document Type: Conference Paper

References (67)

1. D. F. Walls Z. Phys. 237, p. 224, 1970.
2. M. G. Raymer and I. A. Walmsley Prog. Opt. 28, p. 182, 1990.
3. J. Perina, Quantum Statistics of Linear and Nonlinear Optical phenomena, Reidel, Amsterdam, 1984.
4. S. Y. Kilin and I. I. Fedchina JOSA 10, p. 199, 1993.
5. S. Y. Kilin, V. A. Orlovich, and A. S. Grabchikov Quantum Opt. 5, p. 223, 1993.
6. R. Barille, A. D. Kudryavtseva, G. Rivoire, A. I. Sokolovskaya, and N. V. Tcherniega Proc. SPIE 4069, p. 134, 2000.
7. E. A. Morozova, A. I. Sokolovskaya, and M. M. Suschinskii Sov. Kvantovaya Electron. 2, p. 612, 1975.
8. D. C. MacPherson, R. C. Swanson, and J. L. Carlsten Phys. Rev. Lett. 61, p. 66, 1988.
9. E. A. Mishkin and D. F. Walls Phys. Rev. 185, p. 1618, 1969.
10. J. Perina, V. Perinova, and J. Kodousek Opt. Comm. 49, p. 210, 1994.
11. V. Perinova, M. Karska, and J. Krepelka Acta Phys. Pol. 79, p. 817, 1991.
12. B. K. Mohanti, N. Nayak, and P. S. Gupta Opt. Acta 29, p. 1017, 1982.
13. P. S. Gupta and J. Dush Czech. J. Phys. 40, p. 432, 1990.
14. H. Ritsch, M. A. M. Marte, and P. Zoller Europhys. Lett. 19, p. 7, 1992.
15. O. V. Man'ko and N. V. Tcherniega J. Russ. Laser Res. 22, p. 201, 2001.
16. P. Garsia-Fernandez and P. Zhou J. Mod. Opt. 41, p. 2259, 1994.
17. V. Perinova and J. Perina Optica Acta 28, p. 769, 1981.
18. M. Olivik and J. Perina J. Mod. Opt. 42, p. 197, 1995.
19. J. Perina and J. Krepelka J. Mod. Opt 38, p. 2137, 1991.
20. O. V. Man'ko and N. V. Tcherniega J. Russ. Laser Res. 18, p. 399, 1997.
21. O. V. Man'ko Proc. SPIE 4069, p. 143, 2000.
22. S. V. Kuznetsov, O. V. Man'ko, and N. V. Tcherniega J. Opt. B: Quantum Semiclass. Opt. 5, p. 503, 2003.
23. S. V. Kuznetsov, A. V. Kusev, O. V. Man'ko, and N. V. Tcherniega Acta Physica Hungarica (at press), 2003.
24. A. Peres Phys. Rev. Lett. 77, p. 1413, 1996.
25. M. Horodecki, P. Horodecki, and R. Horodecki Phys. Lett. A 223, p. 8, 1996.
26. W. K. Wooters Phys. Rev. Lett. 80, p. 2245, 1998.
27. W. K. Wooters and S. Hill Phys. Rev. Lett. 78, p. 5022, 1997.
28. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. Teich Phys. Rev. A 64, p. 050101, 2001.
29. P. Rungta, V. Buzek, C. M. Caves, M. Hilery, and G. Milburn Phys. Rev. A 64, p. 042315, 2001.
30. A. S. M. D. Castro and V. V. Dodonov J. Russ. Laser. Res. 25, p. 93, 2002.
31. V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria J. Phys. A: Math. Gen. 35, p. 7137, 2002.
32. J. Bertrand and P. Bertrand Found. Phys. 17, p. 397, 1987.
33. K. Vogel and H. Risken Phys. Rev. A 40, p. 2847, 1989.
34. D. G. Welsch, W. Vogel, and T. Opatny Progress in Optics 39, p. 63, 1999.
35. D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani Phys. Rev. Lett. 70, p. 1244, 1993.
36. G. Breitenbach, S. Shiller, and J. Mlynek Nature 387, p. 471, 1997.
37. S. Mancini, V. I. Man'ko, and P. Tombesi Phys. Lett. A 213, p. 1, 1996.
38. G. M. D'Ariano, S. Mancini, V. I. Man'ko, and P. Tombesi Quantum Semiclass. Opt. 8, p. 1017, 1996.
39. O. V. Man'ko and V. I. Man'ko J. Russ. Laser Res. 20, p. 67, 1999.
40. S. Wallentowitz and W. Vogel Phys. Rev. A 53, p. 4528, 1996.
41. K. Banaszek and K. Wodkiewicz Phys. Rev. Lett. 76, p. 4344, 1996.
42. S. Mancini, V. I. Man'ko, and P. Tombesi Europhys. Lett. 37, p. 79, 1997.
43. S. Mancini, V. I. Man'ko, and P. Tombesi Quantum Semiclass. Opt. 7, p. 725, 1995.
44. V. V. Dodonov and V. I. Man'ko Phys. Lett. A 239, p. 335, 1997.
45. V. I. Man'ko and O. V. Man'ko JETP 85, p. 430, 1997.
46. O. V. Man'ko and V. I. Man'ko J. Russ. Laser Res. 24, p. 5 (in press), 2003.
47. A. V. Belinsky and A. S. Chirkin JETP 71, p. 228, 1990.
48. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses, American Inst. Phys, NY.
49. I. A. Malkin, V. I. Man'ko, and D. A. Trifonov J. Math. Phys. 14, p. 576, 1973.
50. I. A. Malkin, V. I. Man'ko, and D. A. Trifonov Phys. Lett. A 30, p. 414, 1969.
51. I. A. Malkin, V. I. Man'ko, and D. A. Trifonov Phys. Rev. D 2, p. 1371, 1970.
52. V. V. Dodonov and V. I. Man'ko, "Invariants and evolution of nonstationary quantum systems," in Proc. P N Lebedev Physical Institute vol. 183, Nova Science, NY, 1989.
53. I. A. Malkin and V. I. Man'ko, Dynamical Symmetries and Coherent States of Quantum Systems, Nauka, Moscow, 1979.
54. O. E. Mustecaplioglu and A. S. Shumovsky Phys. Rev. B 60, p. 3970, 1999.
55. J.-H. Chai and G.-C. Guo Quantum Semiclass. Opt. 9, p. 921, 1997.
56. X. Hu and F. Nori Physica B 263-264, p. 16, 1999.
57. X. Hu and F. Nori Phys. Rev. Lett. 79, p. 4605, 1997.
58. X. Hu and F. Nori Phys. Rev. B 53, p. 2419, 1996.
59. M. Sonnek and M. Wagner Phys. Rev. B 53, p. 3190, 1996.
60. A. S. Shumovsky and B. Tanatar Phys. Rev. A 48, p. 4735, 1993.
61. G. A. Garrett, A. G. Rojo, A. K. Sood, J. F. Whitaker, and R. Merlin Science 275, p. 1638, 1997.
62. V. V. Dodonov, V. I. Man'ko, and V. V. Semjonov Nuovo Cim. B 83, p. 145, 1984.
63. V. V. Dodonov, V. I. Man'ko, and O. V. Man'ko Phys. Rev. A 50, p. 813, 1994.
64. O. V. Man'ko and G. Schrade J. Russ. Laser Res. 18, p. 561, 1997.
65. O. V. Man'ko and G. Schrade Phys. Scr. 58, p. 228, 1998.
66. K. E. Cahill and R. J. Glauber Phys. Rev. 177, p. 1882, 1969.
67. O. V. Man'ko, V. I. Man'ko, and G. Marmo J. Phys. A: Math. Gen. 35, p. 699, 2002.