Analytical solutions for a two-level system driven by a class of chirped pulses

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 1, 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; CHIRPED PULSE; FOUR-ORDER; POPULATION TRANSFER; TWO-LEVEL ATOM; TWO-LEVEL SYSTEM;

EID: 77954835771     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.015801     Document Type: Article

References (25)

1. Claude Cohen-Tannoudji, Atom-Photon Interactions: Basic Processes and Applications (New York, Wiley, 1992).
2. M. O. Scully, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.172290899 99, 10994 (2002). (Pubitemid 34920867)
3. M. O. Scully, Y. Rostovtsev, A. Svidzinsky, and Jun-Tao Chang, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340802491643 55, 3219 (2008).
4. P. Jaegle, Coherent Sources of XUV Radiation (Springer, New York, 2005).
5. A. W. Weiner, Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.1150614 71, 1929 (2000).
6. M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes (Wiley, Hoboken, NJ, 2003);
7. T. Brixner and G. Gerber, Chem. Phys. Chem. CPCHFT 1439-4235 10.1126/science.288.5467.824 4, 418 (2003);
8. H. Rabitz, M. Motzkus, K. Kompa, and R. de Vivie-Riedle, Science SCIEAS 0036-8075 10.1126/science.288.5467.824 288, 824 (2000). (Pubitemid 30257723)
9. Y. V. 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).
10. P. K. Jha and Y. V. Rostovtsev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.033827 81, 033827 (2010).
11. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, England, 1997).
12. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Cambridge University Press, Cambridge, England, 1997).
13. Here we use the convention that all frequencies are circular frequencies, so that ν (not h ν) is the photon energy.
14. F. T. Hioe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.2100 30, 2100 (1984);
15. F. T. Hioe and C. E. Carroll, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.1541 32, 1541 (1985);
16. J. Zakrzewski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.3748 32, 3748 (1985);
17. C. E. Carroll and F. T. Hioe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.2835 41, 2835 (1990);
18. D. Goswami and W. S. Warren, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.5190 50, 5190 (1994);
19. E. J. Robinson, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/18/18/010 18, 3687 (1985);
20. P. A. Ivanov and N. V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.063407 71, 063407 (2005); (Pubitemid 41481233)
21. A. Ishkhanyan and K.-A. Suominen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/32/309 34, 6301 (2001).
22. A. Ronveaux, Heun's Differential Equations (Oxford University Press, Oxford, 1995).
23. K. Heun, Math. Ann. MAANA3 0025-5831 10.1007/BF01443849 33, 161 (1889);
24. N. Gurappa and P. K. Panigrahi, J. Phys. A Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/37/46/L01 37, L605 (2004); (Pubitemid 39594064)
25. R S Maier, Math. Comp. 0025-5718 10.1090/S0025-5718-06-01939-9 76, 811 (2007).