Coherent excitation of a two-level atom driven by a far-off-resonant classical field: Analytical solutions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 3, 2010, Pages

  Jha, Pankaj K ^a   Rostovtsev, Yuri V ^a,b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF NORTH TEXAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; ANALYTICAL TREATMENT; COHERENT EXCITATIONS; HYPERGEOMETRIC FUNCTIONS; PULSE ENVELOPES; PULSE SHAPES; RESONANT CLASSICAL FIELD; SOFT X-RAY; TWO-LEVEL ATOM;

ULTRAVIOLET RADIATION;

EID: 77949498034     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.033827     Document Type: Article

References (48)

1. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
2. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Cambridge University Press, Cambridge, UK, 1997).
3. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990).
4. K.-A. Suominen, B. M. Garraway, and S. Stenholm, Opt. Commun. OPCOB8 0030-4018 10.1016/0030-4018(91)90456-N 82, 260 (1991).
5. K.-A. Suominen and B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.374 45, 374 (1992).
6. S. Stenholm, Laser Phys. 15, 1421 (2005).
7. N. Rosen and C. Zener, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.40.502 40, 502 (1932).
8. F. Bloch and A. Siegert, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.57. 522 57, 522 (1940).
9. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 1990).
10. H. C. Torrey, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.1059 76, 1059 (1949).
11. H. Salwen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.99.1274 99, 1274 (1955).
12. G. M. Genkin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.758 58, 758 (1998).
13. A. Plucinska and R. Parzynski, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340601022920 54, 745 (2007).
14. N. Rosen and C. Zener, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.40.502 40, 502 (1932).
15. M. V. Fedorov, Opt. Commun. OPCOB8 0030-4018 10.1016/0030-4018(74)90392-7 12, 205 (1974).
16. M. V. Fedorov, Sov. J. Quantum Electron. SJQEAF 0049-1748 10.1070/QE1975v005n07ABEH011453 5, 816 (1975).
17. I. I. Rabi, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.51.652 51, 652 (1937).
18. L. D. Landau, Phys. Z. Sowjetunion 2, 46 (1932).
19. Y. N. Demkov, Sov. Phys. JETP 18, 138 (1964).
20. F. T. Hioe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.2100 30, 2100 (1984).
21. A. Bambini and P. R. Berman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.2496 23, 2496 (1981).
22. J. Zakrzewski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.3748 32, 3748 (1985).
23. E. E. Nikitin, Opt. Spectrosc. 13, 431 (1) (1969).
24. N. V. Vitanov, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/27/9/016 27, 1791 (1994).
25. A. M. Dykhne, Sov. Phys. JETP 11, 411 (1960).
26. J. P. Davis and P. Pechukas, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.432648 64, 3129 (1976).
27. M. O. Scully, Y. Rostovtsev, A. Svidzinsky, and J.-T. Chang, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340802491643 55, 3219 (2008).
28. Y. Rostovtsev, H. Eleuch, A. Svidzinsky, H. Li, V. Sautenkov, and M. O. Scully, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.063833 79, 063833 (2009).
29. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962).
30. K. Heun, Math. Ann. MAANA3 0025-5831 10.1007/BF01443849 33, 161 (1889).
31. A. Ronveaux, Heun's Differential Equations (Oxford University Press, Oxford, 1995).
32. N. Gurappa and P. K. Panigrahi, J. Phys. A Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/37/46/L01 37, L605 (2004).
33. N. Gurappa, P. K. Jha, and P. K. Panigrahi, SIGMA 3, 057 (2007).
34. R. S. Maier, Math. Comp. MCMPAF 0025-5718 10.1090/S0025-5718-06-01939-9 76, 811 (2007).
35. P. Jaegle, Coherent Sources of XUV Radiation (Springer, New York, 2005).
36. P. Gibbon, Short Pulse Laser Interactions with Matter: An Introduction (Imperial College Press, London, 2005).
37. Y. Rostovtsev and M. O. Scully, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340701630432 54, 2607 (2007).
38. Y. Rostovtsev, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340802491635 55, 3149 (2008).
39. Y. Rostovtsev, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340903365993 56, 1949 (2009).
40. K. H. Hahn, D. A. King, and S. E. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.2777 65, 2777 (1990).
41. K. Hakuta, L. Marmet, and B. P. Stoicheff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.596 66, 596 (1991).
42. G. Z. Zhang, K. Hakuta, and B. P. Stoicheff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3099 71, 3099 (1993).
43. Y. Li and M. Xiao, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.21.001064 21, 1064 (1996).
44. M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4326 77, 4326 (1996).
45. R. W. Boyd and M. O. Scully, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1329160 77, 3559 (2000).
46. N. G. Kalugin and Y. V. Rostovtsev, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.31.000969 31, 969 (2006).
47. V. A. Sautenkov, C. Y. Ye, Y. V. Rostovtsev, G. W. Welch, and M. O. Scully, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033406 70, 033406 (2004).
48. P. K. Jha and Y. Rostovtsev (in preparation).