Two-level atom-field interaction: exact master equations for non-Markovian dynamics, decoherence, and relaxation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 3, 2000, Pages 033821-033821

  Anastopoulos, Charis ^a   Hu, B L ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; LIGHT POLARIZATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARTICLE OPTICS; POISSON DISTRIBUTION;

ATOM OPTICS; NON MARKOVIAN DYNAMICS; QUANTUM BROWNIAN MOTION; TWO LEVEL ATOM FIELD INTERACTION;

QUANTUM OPTICS;

EID: 0343341764     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (56)

1. D. F. Walls and G. J. Milburn, Quantum Optics (Springer Verlag, Berlin, Heidelberg, 1994).
2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
3. O. Scully and M. Suhail Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997).
4. M. Weissbluth, Photon-Atom Interactions (Academic Press, San Diego, 1988).
5. W. Vogel and D. G. Welsch, Lectures on Quantum Optics (Akademie Verlag, Berlin, 1994).
6. G. Compagno, R. Passante, and F. Persico, Atom-Field Interactions and Dressed Atom (Cambridge University, Cambridge, 1995).
7. H. J. Carmichael, An Open Systems Approach to Quantum Optics (Springer Verlag, Berlin, 1993).
8. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 149, 374 (1983); A. J. Leggett et al., Rev. Mod. Phys. 59, 1 (1987).
9. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 149, 374 (1983); A. J. Leggett et al., Rev. Mod. Phys. 59, 1 (1987).
10. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
11. I. L. Chuang et al., Science 270, 1633 (1995); D. P. Di Vencenzo, ibid. 270, 255 (1995); P. W. Shor, Phys. Rev. A 52, R2493 (1995); J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
12. I. L. Chuang et al., Science 270, 1633 (1995); D. P. Di Vencenzo, ibid. 270, 255 (1995); P. W. Shor, Phys. Rev. A 52, R2493 (1995); J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
13. I. L. Chuang et al., Science 270, 1633 (1995); D. P. Di Vencenzo, ibid. 270, 255 (1995); P. W. Shor, Phys. Rev. A 52, R2493 (1995); J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
14. I. L. Chuang et al., Science 270, 1633 (1995); D. P. Di Vencenzo, ibid. 270, 255 (1995); P. W. Shor, Phys. Rev. A 52, R2493 (1995); J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
15. I. L. Chuang et al., Science 270, 1633 (1995); D. P. Di Vencenzo, ibid. 270, 255 (1995); P. W. Shor, Phys. Rev. A 52, R2493 (1995); J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995); A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
16. W. G. Unruh, Phys. Rev. A 51, 992 (1995).
17. G. M. Palma, K.-A. Suominen, and A. K. Ekert, Proc. R. Soc. London, Ser. A 452, 567 (1996).
18. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997).
19. M. B. Plenio and P. L. Knight, Proc. R. Soc. London, Ser. A 453, 2017 (1997).
20. S. Schneider and G. J. Milburn, e-print quant-ph/9710044 (1997).
21. L. Viola and S. Lloyd, Phys. Rev. A 58, 2733 (1998).
22. A. Garg, e-print quant-ph/9803071 (1998).
23. P. Zanardi, Phys. Rev. A 57, 3276 (1998).
24. See, e.g., W. H. Zurek, Phys. Today 44, 36 (1991); Prog. Theor. Phys. 89, 281 (1993); E. Joos and H. D. Zeh, Z. Phys. B 59, 223 (1985); D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996).
25. See, e.g., W. H. Zurek, Phys. Today 44, 36 (1991); Prog. Theor. Phys. 89, 281 (1993); E. Joos and H. D. Zeh, Z. Phys. B 59, 223 (1985); D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996).
26. See, e.g., W. H. Zurek, Phys. Today 44, 36 (1991); Prog. Theor. Phys. 89, 281 (1993); E. Joos and H. D. Zeh, Z. Phys. B 59, 223 (1985); D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996).
27. See, e.g., W. H. Zurek, Phys. Today 44, 36 (1991); Prog. Theor. Phys. 89, 281 (1993); E. Joos and H. D. Zeh, Z. Phys. B 59, 223 (1985); D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996).
28. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965): R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
29. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965): R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
30. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983); Phys. Rev. A 31, 1059 (1985).
31. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983); Phys. Rev. A 31, 1059 (1985).
32. H. Grabert, P. Schramm, and G. L. Ingold, Phys. Rep. 168, 115 (1988).
33. W. G. Unruh and W. H. Zurek, Phys. Rev. A 40, 1071 (1989).
34. B. L. Hu, H. P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1992); ibid. 47, 1576 (1993).
35. B. L. Hu, H. P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1992); ibid. 47, 1576 (1993).
36. J. P. Paz, S. Habib, and W. H. Zurek, Phys. Rev. A 47, 488 (1993).
37. B. L. Hu and A. Matacz, Phys. Rev. D 49, 6612 (1994).
38. B. L. Hu and Y. Zhang, Mod. Phys. Lett. A 8, 3575 (1993); Int. J. Mod. Phys. A 10, 4537 (1995).
39. B. L. Hu and Y. Zhang, Mod. Phys. Lett. A 8, 3575 (1993); Int. J. Mod. Phys. A 10, 4537 (1995).
40. A. Anderson and J. J. Halliwell, Phys. Rev. D 48, 2753 (1993); C. Anastopoulos and J. J. Halliwell, ibid. 51, 6870 (1995); C. Anastopoulos, Phys. Rev. E 53, 4711 (1996).
41. A. Anderson and J. J. Halliwell, Phys. Rev. D 48, 2753 (1993); C. Anastopoulos and J. J. Halliwell, ibid. 51, 6870 (1995); C. Anastopoulos, Phys. Rev. E 53, 4711 (1996).
42. A. Anderson and J. J. Halliwell, Phys. Rev. D 48, 2753 (1993); C. Anastopoulos and J. J. Halliwell, ibid. 51, 6870 (1995); C. Anastopoulos, Phys. Rev. E 53, 4711 (1996).
43. J. R. Anglin, R. Laflamme, W. H. Zurek, and J. P. Paz, Phys. Rev. D 52, 2221 (1995).
44. B. L. Hu and D. Pavon, Phys. Lett. B 180, 329 (1986); H. E. Kandrup, Phys. Rev. D 37, 3505 (1988); ibid. 38, 1773 (1988).
45. B. L. Hu and D. Pavon, Phys. Lett. B 180, 329 (1986); H. E. Kandrup, Phys. Rev. D 37, 3505 (1988); ibid. 38, 1773 (1988).
46. B. L. Hu and D. Pavon, Phys. Lett. B 180, 329 (1986); H. E. Kandrup, Phys. Rev. D 37, 3505 (1988); ibid. 38, 1773 (1988).
47. S. Habib, Y. Kluger, E. Mottola, and J. P. Paz, Phys. Rev. Lett. 76, 4660 (1996).
48. S. K. Ma, Statistical Mechanics (World Scientific, Singapore, 1995).
49. P. M. V. Barone and A. O. Caldeira, Phys. Rev. A 43, 57 (1991).
50. See, e.g., J. W. Negel and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, Reading, MA, 1988).
51. T. W. B. Kibble (unpublished).
52. B. Davies, Integral Transforms and Their Applications (Springer Verlag, New York, 1978).
53. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, Orlando, 1965).
54. G. Barton, Phys. Rep. 170, 1 (1988); 170, 65 (1988).
55. G. Barton, Phys. Rep. 170, 1 (1988); 170, 65 (1988).
56. Charis Anastopoulos, Adrian Dragulescu, B. L. Hu, and Sanjiv Shresta (unpublished).