Advertisement

The European Physical Journal D

, Volume 48, Issue 3, pp 443–449 | Cite as

Entanglement dynamics in atom-field interaction in the presence of noise: a special application of the Burshtein equation

  • H. KayhanEmail author
Quantum Optics and Quantum Information

Abstract.

The entanglement dynamics in a system of the interaction of an atom with a single-mode thermal field in the presence of noise is studied by the Jaynes-Cummings model. Two-state random phase telegraph noise is considered as the noise in the interaction and an exact solution to the model under this noise is obtained by the Burshtein equation. Although the Burshtein equation is applicable for laser-atom interactions, it is shown that it can be applied to atom-thermal field system as a special case. The solution is used to investigate the entanglement dynamics of the atom-field interaction by calculating a lower bound on concurrence. It is found that the entanglement is a non monotonic function of the intensity of the noise. The degree of the entanglement decreases to a minimum value for an optimal intensity of the noise and then increases for a sufficiently large intensity. Moreover, intense noise may generate stronger entanglement compared with the absence of noise.

PACS.

03.67.Bg Entanglement production and manipulation 03.67.-a Quantum information 42.50.-p Quantum optics 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963) CrossRefGoogle Scholar
  2. S.M. Barnett, P.L. Knight, Phys. Rev. A. 33, 2444 (1986) CrossRefADSGoogle Scholar
  3. R.R. Puri, G.S. Agarwal, Phys. Rev. A 33, 3610 (1986) CrossRefADSGoogle Scholar
  4. M. Tavis, F.W. Cummings, Phys. Rev. 170, 379 (1966) CrossRefADSGoogle Scholar
  5. Z. Deng, Opt. Commun. 54, 222 (1983) CrossRefADSGoogle Scholar
  6. A. Joshi, S.W. Lawande, J. Mod. Opt. 38, 2009 (1991) zbMATHCrossRefADSGoogle Scholar
  7. T.M. Makhviladze, L.A. Shelepin, Phys. Rev. A 9, 538 (1974) CrossRefADSGoogle Scholar
  8. N.N. Bogolubov, J.R.F. Le Kien, A.S. Shumovski, Phys. Lett. A 101, 201 (1984) CrossRefADSGoogle Scholar
  9. P. Gora, C. Jedrzejek, Phys. Rev. A 45, 6816 (1992) CrossRefADSGoogle Scholar
  10. G.J. Milburn, C.A. Holmes, Phys. Rev. Lett. 56, 2237 (1996) CrossRefADSMathSciNetGoogle Scholar
  11. A. Joshi, S.W. Lawande, Phys. Lett. A 184, 390 (1994) CrossRefADSGoogle Scholar
  12. A. Joshi, S.W. Lawande, Phys. Rev. A 50, 1692 (1994) CrossRefADSGoogle Scholar
  13. S.V. Lawande, A. Joshi, Q.V. Lawande, Phys. Rev. A 52, 619 (1995) CrossRefADSMathSciNetGoogle Scholar
  14. A. Joshi, J. Mod. Opt. 42, 2561 (1995) CrossRefADSGoogle Scholar
  15. J.I. Cirac, P.R. Zoller, W.D. Phillips, Phys. Rev. A 46, 2688 (1992); C.A. Blockey, D.F. Walls, H. Risken, Europhys. Lett. 17, 509 (1992) ADSGoogle Scholar
  16. A.I. Burshtein, Zh. Eksp. Teor. Fiz. 49, 1362 (1966), Sov. Phys. JETP 22, 939 (1966); A.I. Burshtein Yu.S. Oseledchik, Zh. Eksp. Teor. Fiz. 51, 1071 (1966), Sov. Phys. JETP 24, 716 (1967); L.D. Zusman, A.I. Burshtein, Zh. Eksp. Teor. Fiz. 61, 976 (1971), Sov. Phys. JETP 34, 520 (1972) Google Scholar
  17. A.I. Burshtein, Yu.S. Oseledchik, Zh. Eksp. Teor. Fiz. 51, 1071 (1966), Sov. Phys. JETP 24, 716 (1967); L.D. Zusman, A.I. Burshtein, Zh. Eksp. Teor. Fiz. 61, 976 (1971), Sov. Phys. JETP 34, 520 (1972) Google Scholar
  18. J.H. Eberly, K. Wodkiewicz, B.W. Shore, Phys. Rev. A 30, 2381 (1984) CrossRefADSGoogle Scholar
  19. K. Wodkiewicz, B.W. Shore, J.H. Eberly, Phys. Rev. A 30, 2390 (1984) CrossRefADSMathSciNetGoogle Scholar
  20. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998) CrossRefADSGoogle Scholar
  21. R.W. Rendell, A.K. Rajagopal, Phys. Rev. A 67, 062110 (2003) CrossRefADSGoogle Scholar
  22. L. Gammaitoni et al., Rev. Mod. Phys. 223, 70 (1998) Google Scholar
  23. S. Bose, I Fuentes-Guridi, P.L. Night, V. Vedral, Phys. Rev. Lett. 87, 050401 (2001) CrossRefADSMathSciNetGoogle Scholar
  24. G.J. Milburn, Phys. Rev. A 44, 5401 (1991) CrossRefADSMathSciNetGoogle Scholar
  25. Jian Zhang, Bin Shao, J. At. Mol. Phys. 23, 417 (2006) Google Scholar
  26. L.-M. Duan, G.-C. Guo, Phys. Rev. Lett. 79, 1953 (1997); P. Zanardi, M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997); D.A. Lidar, I.L. Chuang, K.B. Whaley, Phys. Rev. Lett. 81, 2594 (1998) CrossRefADSGoogle Scholar
  27. M.B. Plenio, S.F. Huelga, Phys. Rev. Lett. 88, 197901 (2002) CrossRefADSGoogle Scholar
  28. A. Beige et al., J. Mod. Opt. 47, 2583 (2000) ADSGoogle Scholar
  29. M. Kim, Jinhyoung Lee, D. Ahn, P.L. Knight, Phys. Rev. A 65, 040101 (2002) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of PhysicsAbant Izzet Baysal UniversityBoluTurkey

Personalised recommendations