Entangled light in transition through the generation threshold

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 1, 2004, Pages 138131-138137

  Kryuchkyan, G Yu ^a,b   Manukyan, L A ^b  

^a YEREVAN STATE UNIVERSITY   (Armenia)

^b INSTITUTE FOR PHYSICAL RESEARCH   (Armenia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; HAMILTONIANS; LIGHT POLARIZATION; OPTICAL BEAM SPLITTERS; OPTICAL PUMPING; PROBABILITY DISTRIBUTIONS; QUADRATURE AMPLITUDE MODULATION; QUANTUM THEORY;

CONTINUOUS VARIABLE (CV) SYSTEMS; NONDEGENERATE OPTICAL PARAMETRIC OSCILLATORS (NOPO);

PARAMETRIC OSCILLATORS;

EID: 17144472668     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. Quantum Information Theory with Continuous Variables, edited by S.L. Braunstein and A.K. Pati (Kluwer, Dordrecht, 2003), and references therein.
2. S.L. Braunstein and H.J. Kimble, Phys. Rev. Lett. 80, 869 (1998); A. Furusawa, J.L. Sorensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, and E.S. Polzik, Science 282, 706 (1998); W.P. Bowen, N. Treps, R. Schnabel, and P.K. Lam, Phys. Rev. Lett. 89, 253601 (2002).
3. S.L. Braunstein and H.J. Kimble, Phys. Rev. Lett. 80, 869 (1998); A. Furusawa, J.L. Sorensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, and E.S. Polzik, Science 282, 706 (1998); W.P. Bowen, N. Treps, R. Schnabel, and P.K. Lam, Phys. Rev. Lett. 89, 253601 (2002).
4. S.L. Braunstein and H.J. Kimble, Phys. Rev. Lett. 80, 869 (1998); A. Furusawa, J.L. Sorensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, and E.S. Polzik, Science 282, 706 (1998); W.P. Bowen, N. Treps, R. Schnabel, and P.K. Lam, Phys. Rev. Lett. 89, 253601 (2002).
5. T.C. Ralph, Phys. Rev. A 61, 010303(R) (2000); Ch. Silberhorn et al., Phys. Rev. Lett. 88, 167902 (2002); F. Grosshans, G. Van Assche, J. Wenger, R. Brown, N.J. Cerf, and P. Grangier, Nature (London) 421, 238 (2003).
6. T.C. Ralph, Phys. Rev. A 61, 010303(R) (2000); Ch. Silberhorn et al., Phys. Rev. Lett. 88, 167902 (2002); F. Grosshans, G. Van Assche, J. Wenger, R. Brown, N.J. Cerf, and P. Grangier, Nature (London) 421, 238 (2003).
7. T.C. Ralph, Phys. Rev. A 61, 010303(R) (2000); Ch. Silberhorn et al., Phys. Rev. Lett. 88, 167902 (2002); F. Grosshans, G. Van Assche, J. Wenger, R. Brown, N.J. Cerf, and P. Grangier, Nature (London) 421, 238 (2003).
8. M.D. Reid and P.D. Drummond, Phys. Rev. Lett. 60, 2731 (1988); M.D. Reid, Phys. Rev. A 40, 913 (1989); P.D. Drummond and M.D. Reid, ibid. 41, 3930 (1990).
9. M.D. Reid and P.D. Drummond, Phys. Rev. Lett. 60, 2731 (1988); M.D. Reid, Phys. Rev. A 40, 913 (1989); P.D. Drummond and M.D. Reid, ibid. 41, 3930 (1990).
10. M.D. Reid and P.D. Drummond, Phys. Rev. Lett. 60, 2731 (1988); M.D. Reid, Phys. Rev. A 40, 913 (1989); P.D. Drummond and M.D. Reid, ibid. 41, 3930 (1990).
11. Z.Y. Ou, S.F. Pereira, H.J. Kimble, and K.C. Peng, Phys. Rev. Lett. 68, 3663 (1992); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, Phys. Rev. A 62, 042311 (2002).
12. Z.Y. Ou, S.F. Pereira, H.J. Kimble, and K.C. Peng, Phys. Rev. Lett. 68, 3663 (1992); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, Phys. Rev. A 62, 042311 (2002).
13. Ch, Silberhorn, P.K. Lam, O. Weiß, F. König, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 86, 4267 (2001).
14. S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987); J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Opt. Lett. 16, 1234 (1991); J.G. Rarity, P.R. Tapster, J.A. Levenson, J.C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Appl. Phys. B: Photophys. Laser Chem. 55, 250 (1992); K.C. Peng, Q. Pan, H. Wang, Y. Zhang, H. Su, and C.D. Xie, Appl. Phys. B: Lasers Opt. 66, 755 (1998).
15. S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987); J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Opt. Lett. 16, 1234 (1991); J.G. Rarity, P.R. Tapster, J.A. Levenson, J.C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Appl. Phys. B: Photophys. Laser Chem. 55, 250 (1992); K.C. Peng, Q. Pan, H. Wang, Y. Zhang, H. Su, and C.D. Xie, Appl. Phys. B: Lasers Opt. 66, 755 (1998).
16. S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987); J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Opt. Lett. 16, 1234 (1991); J.G. Rarity, P.R. Tapster, J.A. Levenson, J.C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Appl. Phys. B: Photophys. Laser Chem. 55, 250 (1992); K.C. Peng, Q. Pan, H. Wang, Y. Zhang, H. Su, and C.D. Xie, Appl. Phys. B: Lasers Opt. 66, 755 (1998).
17. S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987); J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Opt. Lett. 16, 1234 (1991); J.G. Rarity, P.R. Tapster, J.A. Levenson, J.C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, and E. Giacobino, Appl. Phys. B: Photophys. Laser Chem. 55, 250 (1992); K.C. Peng, Q. Pan, H. Wang, Y. Zhang, H. Su, and C.D. Xie, Appl. Phys. B: Lasers Opt. 66, 755 (1998).
18. J. Lauret, T. Coudreau, N. Treps, A. Maître, and C. Fabre, e-print quant-ph/0304111.
19. Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. Peng, Phys. Rev. A 62, 023813 (2000); X. Li, Q. Pan, J. Jing, J. Zhang, C. Xie, and K. Peng, Phys. Rev. Lett. 88, 047904 (2002).
20. Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. Peng, Phys. Rev. A 62, 023813 (2000); X. Li, Q. Pan, J. Jing, J. Zhang, C. Xie, and K. Peng, Phys. Rev. Lett. 88, 047904 (2002).
21. N. Korolkova, G. Leuchs, R. Loudon, T.C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
22. G.Yu. Kryuchkyan and K.V. Kheruntsyan, Opt. Commun. 127, 230 (1996); K.V. Kheruntsyan, D.S. Krähmer, G.Yu. Kryuchkyan, and K.G. Petrosyan, ibid. 157, 139 (1997).
23. G.Yu. Kryuchkyan and K.V. Kheruntsyan, Opt. Commun. 127, 230 (1996); K.V. Kheruntsyan, D.S. Krähmer, G.Yu. Kryuchkyan, and K.G. Petrosyan, ibid. 157, 139 (1997).
24. K.J. McNeil and C.W. Gardiner, Phys. Rev. A 28, 1560 (1983).
25. G.Yu. Kryuchkyan, K.G. Petrosyan, and K.V. Kheruntsyan, Pis'ma Zh. Eksp. Teor. Fiz. 63, 502 (1996) [JETP Lett. 63, 526 (1996)].
26. G.Yu. Kryuchkyan, K.G. Petrosyan, and K.V. Kheruntsyan, Pis'ma Zh. Eksp. Teor. Fiz. 63, 502 (1996) [JETP Lett. 63, 526 (1996)].
27. M.D. Reid and P.D. Drummond, Phys. Rev. A 40, 4493 (1989).
28. K.V. Kheruntsyan and K.G. Petrosyan, Phys. Rev. A 62, 015801 (2000).
29. L.M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000); R. Simon, ibid. 84, 2726 (2000); G. Giedke, B. Kraus, M. Lewenstein, and J.I. Cirac, ibid. 87, 167904 (2001); R.F. Werner and M.M. Wolf, ibid. 86, 3658 (2001).
30. L.M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000); R. Simon, ibid. 84, 2726 (2000); G. Giedke, B. Kraus, M. Lewenstein, and J.I. Cirac, ibid. 87, 167904 (2001); R.F. Werner and M.M. Wolf, ibid. 86, 3658 (2001).
31. L.M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000); R. Simon, ibid. 84, 2726 (2000); G. Giedke, B. Kraus, M. Lewenstein, and J.I. Cirac, ibid. 87, 167904 (2001); R.F. Werner and M.M. Wolf, ibid. 86, 3658 (2001).
32. L.M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000); R. Simon, ibid. 84, 2726 (2000); G. Giedke, B. Kraus, M. Lewenstein, and J.I. Cirac, ibid. 87, 167904 (2001); R.F. Werner and M.M. Wolf, ibid. 86, 3658 (2001).
33. W.P. Bowen, R. Schnabel, P.K. Lam, and T.C. Ralph, Phys. Rev. Lett. 90, 043601 (2003).
34. Y. Zhang, K. Kasai, and M. Watanabe, Opt. Express 11, 14 (2003).
35. Z.Y. Ou, C.K. Hong, and L. Mandel, J. Opt. Soc. Am. B 4, 1574 (1987).
36. The elaboration and study of several entanglement measures has been the subject of recent works. See, for example, G. Vidal and R.F. Werner, Phys. Rev. A 65, 032314 (2002), and references therein.