Optimally controlled vibrational population transfer in a diatomic quantum system

Journal of Theoretical and Computational Chemistry

Volumn 8, Issue 1, 2009, Pages 157-180

  Kumar, Praveen ^a   Sharma, Sitansh ^b   Singh, Harjinder ^b  

^a PANJAB UNIVERSITY   (India)

^b INTERNATIONAL INSTITUTE OF INFORMATION TECHNOLOGY   (India)

Author keywords

Conjugate gradient method; Iterative method; Optimal control theory

Indexed keywords

EID: 65249114166     PISSN: 02196336     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219633609004605     Document Type: Article

References (77)

1. Rice S, Zhao M, Optical Control of Molecular Dynamics, John Wiley & Sons, New York, 2000.
2. Shapiro M, Brumer P, Principles of the Quantum Control of Molecular Processes, John Wiley & Sons, New York, 2003.
3. Balint-Kurti GG, Zou S, Brown A, Adv Chem Phys, 138:43, 2008.
4. Brumer P, Shapiro M, Sci Am 56, 1995.
5. Tannor DJ, Rice SA, J Chem Phys 83:5013, 1985.
6. Tannor DJ, Kosloff R, Rice SA, J Chem Phys 85:5805, 1986.
7. Tannor DJ, Rice SA, Adv Chem Phys 70:441, 1988.
8. Gross P, Singh H, Rabitz H, Measer K, Huang GM, Phys Rev A 47:4593, 1993.
9. Meier C, Heitz MC, J Chem Phys 123:044504, 2005.
10. Shapiro M, Brumer P, J Chem Phys 84:4103, 1986;
11. Shapiro M, Brumer P, Molecules in Laser Fields, Bandrauk AD (eds.), Marcel Dekker, New York, 1994.
12. Kosloff R, Rice SA, Gaspard P, Tersigni S, Tannor DJ, Chem Phys 139:201, 1989.
13. Sinha A, Hsiao MC, Crim FF, J Chem Phys 92:6333, 1990;
14. Metz RB, Thoemke JD, Pfeiffer JM, Crim FF, J Chem Phys 99:1744, 1993.
15. Zare RN, Science 279:1875, 1998.
16. Shapiro M, Brumer P, J Chem Phys 98:201, 1993.
17. Park SM, Lu SP, Gordon RJ, J Chem Phys 94:8622, 1991;
18. Lu SP, Park SM, Xie Y, Gordon RL, J Chem Phys 96:6613, 1992;
19. Zhu L, Kleiman V, Li X, Lu SP, Trentelman K, Gordon RJ, Science 270:77, 1995.
20. Levy I, Shapiro M, Brumer P, J Chem Phys 93:2493, 1990.
21. Brown A, Balint-Kurti GG, J Chem Phys 113:1879, 2000.
22. Regan PM, Ascenzi D, Brown A, Balint-Kurti GG, Orr-Ewing AJ, J Chem Phys 112:10259, 2000.
23. Chen Z, Brumer P, Shapiro M, Chem Phys Lett 198:498, 1992;
24. Chen Z, Brumer P, Shapiro M, J Chem Phys 98:684, 1993;
25. Shnitman A, Sofer I, Golub I, Yogev A, Shapiro M, Chen Z, Brumer P, Phys Rev Lett 76:2886, 1996.
26. Dantus M, Rosker MJ, Zewail AH, J Chem Phys 89:6128, 1988.
27. Rosker MJ, Dantus M, Zewail AH, Science 241:1200, 1988.
28. Pastirk I, Brown EJ, Zhang QG, Dantus M, J Chem Phys 108:4375, 1998.
29. Rabitz H, Nature 366:104, 1993.
30. Peirce AP, Dahleh MA, Rabitz H, Phys Rev A 37:4950, 1988; Jakubetz W, Manz J, Schreier HJ, Chem Phys Lett 165:100, 1990.
31. Brumer P, Shapiro M, Acc Chem Res 22:407, 1989.
32. Tannor D, Rice S, J Chem Phys 84:5013, 1996.
33. Rabitz H, Zhu W, Acc Chem Res 33:572, 2000.
34. Yip F, Mazziotti D, Rabitz H, J Chem Phys 118:8168, 2003.
35. Bardeen CJ, Rabitz H, Chem Phys Lett 280:151, 1997.
36. Levis RJ, Menkir GM, Rabitz H, Science 292:709, 2001.
37. Meshulach D, Silberberg Y, Nature 396:239, 1998.
38. Weinacht TC, Bartels R, Backus S, Bucksbaum PH, Pearson B, Geremia JM, Rabitz H, Kapteyn HC, Murnane MM, Chem Phys Lett 344:333, 2001.
39. Bartels R, Backus S, Zeek E, Misoguti L, Vdovin G, Christov LP, Murnane MM, Kapteyn HC, Nature 406:164, 2000.
40. Brixner T, Damrauer NH, Nikdaus P, Gerber G, Nature 414:57, 2001.
41. Hornung T, Meier R, Zeidler D, Kompa KL, Proch D, Motzkus M, Appl Phys B 71:277, 2000.
42. Kunde J, Baumann B, Arlt S, Morier-Genoud F, Siegner U, Keller U, J Opt Soc Am B 18:872, 2001.
43. Pearson BJ, White JL, Weinacht TC, Bucksbaum PH, Phys Rev A 63:063412, 2001.
44. Zeidler D, Frey S, Kompa KL, Motzkus M, Phys Rev A 64:023420, 2001.
45. Judson RS, Rabitz H, Phys Rev Lett 68:1500, 1992.
46. Amstrup B, Toth GJ, Szabo G, Lorincz A, J Phys Chem 99:5206, 1995.
47. Amstrup B, Doll JD, Sauerbrey RA, Szabo G, Lorincz A, Phys Rev A 48:3830, 1993.
48. Young SK, Rabitz H, J Chem Phys 117:1024, 2002.
49. Holthaus M, Just B, Phys Rev A 49:1950, 1994.
50. González L, Kröner D, Solá IR, J Chem Phys 115:2519, 2001.
51. Feit MD, Fleck JA, Jr, J Chem Phys 78:301, 1983.
52. Feit MD, Fleck JA, Jr, J Chem Phys 80:2578, 1984.
53. Zhu W, Botina J, Rabitz H, J Chem Phys 108:1953, 1998.
54. Ren Q, Balint-Kurti GG, Manby FR, Artamonov M, Ho TS, Rabitz H, J Chem Phys 124:014111, 2006.
55. Sundermann K, de Vivie-Riedle R, J Chem Phys 110:1896, 1999.
56. Press WH, Teukolsky SA, Vetterling WT, Flannery BP, Numerical Recipes, Cambridge UP, 2000.
57. Babikov D, J Chem Phys 121:7577, 2004.
58. Polak E, Computational Methods in Optimization, Mathematics in Science Engineering, Vol. 77, Academic, New York, 1971.
59. Birgin EG, Martinez JM, Raydan M, SIAM J Opt 10:1196, 2000.
60. Marston CC, Balint-Kurti GG, J Chem Phys 91:3571, 1989.
61. Stine JR, Noid DW, Opt Commun 31:161, 1979.
62. Husimi K, Proc Phys Math Soc Jpn 22:246, 1940.
63. Akulin VM, Karlov NV, Intense Resonant Interactions in Quantum Electronics, Springer Verlag, Berlin, 1992.
64. Garcia M, Grigorenko I, J Phys B 37:2569, 2004.
65. Cheng T, Brown A, J Chem Phys 124:034111, 2006.
66. Hughes S, Technical digest, Quantum Electronics and Laser Science Conference, QELS'99, Baltimore, MD, 1999, p. 162.
67. Zhao M, Babikov D, J Chem Phys 126:204102, 2007.
68. Nielsen MA, Chuang IL, Quantum Computation Quantum Information, Cambridge University Press, 2006.
69. Tesch CM, de Vivie-Riedle R, Phys Rev Lett 89:157901, 2002.
70. Tesch CM, de Vivie-Riedle R, J Chem Phys 121:12158, 2004.
71. Tesch CM, Kompa K, de Vivie-Riedle R, Chem Phys 267:173, 2001.
72. Ohtsuki Y, Chem Phys Lett 404:126, 2005.
73. Vala J, Amitay Z, Zhang B, Leone SR, Kosloff R, Phys Rev A 66:062316, 2002.
74. Ahn J, Weinacht TC, Bucksbaum PH, Science 287:463, 2000.
75. Ren Q, Balint-Kurti GG, Manby FR, J Chem Phys 125:021104, 2006.
76. Balint-Kurti GG, Private communication.
77. Shioya K, Mishima K, Yamashita K, Mol Phys 105:1283, 2007.