Quantum optimal control theory and dynamic coupling in the spin-boson model

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 2, 2006, Pages

  Jirari, H ^a   Potz W ^a  

^a UNIVERSITY OF GRAZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

DECELERATION; HARMONIC ANALYSIS; MARKOV PROCESSES; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; PHONONS; PROBLEM SOLVING;

CONTROL FIELD; CONTROL-DISSIPATION CORRELATION; OPTIMAL DIFFERENTIAL SYSTEM;

QUANTUM THEORY;

EID: 33746877080     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.022306     Document Type: Article

References (71)

1. M. A. Nielson and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
2. W. G. Unruh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.992 51, 992 (1995).
3. P. Zanardi and M. Rasetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3306 79, 3306 (1997).
4. D. A. Lidar, I. L. Chuang and K. B. Whaley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2594 81, 2594 (1999).
5. J. Preskill, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1998.0167 454, 385 (1998).
6. E. Knill, R. Laflamme, and L. Viola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2525 84, 2525 (2000).
7. J. Wang and H. Wiseman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.063810 64, 063810 (2001).
8. L. Viola and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58. 2733 58, 2733 (1998).
9. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2417 82, 2417 (1999);
10. L. Viola, S. Lloyd, and E. Knill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4888 83, 4888 (1999);
11. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3520 85, 3520 (2000).
12. P. Zanardi, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00365-5 258, 77 (1999).
13. D. Vitali and P. Tombesi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4178 59, 4178 (1999);
14. D. Vitali and P. Tombesi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012305 65, 012305 (2001).
15. C. Uchiyama and M. Aihara, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032313 66, 032313 (2002).
16. M. S. Byrd and D. A. Lidar, Quantum Inf. Process. QIPUAT 1570-0755 10.1023/A:1019697017584 1, 19 (2002);
17. M. S. Byrd and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.012324 67, 012324 (2003).
18. V. Protopopescu, R. Perez, C. D'Helon, and J. Schmulen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/8/314 36, 2175 (2003).
19. W. M. Itano, D. J. Heinzen, J. J. Bollinger, and D. J. Wineland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.2295 41, 2295 (1990).
20. P. Facchi, S. Tasaki, S. Pascazio, H. Nakazato, A. Tokuse, and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022302 71, 022302 (2005).
21. L. Viola, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340412331284902 51, 2357 (2004).
22. X. Hu and W. Pötz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3116 82, 3116 (1999).
23. H. Jirari and W. Pötz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.013409 72, 013409 (2005).
24. O. Kocharovskaya, S. Y. Zhu, M. O. Scully, P. Mandel, and Y. V. Radeonychev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.49.4928 49, 4928 (1994).
25. D. H. Schirrmeister and V. May, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(98)01162-2 297, 383 (1998).
26. R. Xu, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1665486 120, 6600 (2004).
27. M. Morillo, C. Denk, and R. I. Cukier, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(96)00187-5 212, 157 (1996).
28. M. Morillo and R. I. Cukier, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.13962 54, 13962 (1996).
29. Yu. Dakhnovskii, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.4649 49, 4649 (1994);
30. I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.2982 51, 2982 (1995);
31. I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.2392 52, 2392 (1995);
32. I. A. Goychuk, E. G. Petrov, and V. May, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(96)00323-5 353, 428 (1996).
33. M. Grifoni and P. Hänggi, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00015-5 304, 1 (1998).
34. K. M. Fonseca Romero, S. Kohler, and P. Hänggi, Chem. Phys. CMPHC2 0301-0104 10.1016/j.chemphys.2003.09.015 296, 307 (2004).
35. K. M. Fonseca-Romero, S. Kohler, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.140502 95, 140502 (2005).
36. H. Jirari and W. Pötz, e-print cond-mat/0506379 (unpublished).
37. L. S. Pontryagin, The Mathematical Theory of the Optimal Process (Wiley-Interscience, New York, 1962).
38. A. E. Bryson and Y. C. Ho, Applied Optimal Control (Hemisphere, New York, 1975).
39. J. T. Betts, Practical Methods for Optimal Control using Nonlinear Programming (SIAM, Philadelphia, 2001).
40. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
41. G. D. Mahan, Many Particles Physics (Plenum, New York, 1999).
42. B. Krummheuer, V. M. Axt, and T. Kuhn, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.195313 65, 195313 (2002).
43. U. Hohenester and G. Stadler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.196801 92, 196801 (2004).
44. J. Zhang and W. Pötz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.11583 48, 11583 (1993).
45. I. Rousochatzakis, Y. Ajiro, H. Mitamura, P. Kögerler, and M. Luban, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.147204 94, 147204 (2005);
46. I. Rousochatzakis and M. Luban, e-print cond-mat/0503695 (unpublished).
47. A. E. Allahverdyan, R. S. Gracià, and Th. M. Nieuwenhuizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.260404 93, 260404 (2004).
48. Yu. Makhlin, G. Schön, and A. Schnirman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.357 73, 357 (2001).
49. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.59.1 59, 1 (1987).
50. K. Blum, Density Matrix Theory and Applications, 2nd ed. (Plenum, New York, 1996).
51. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
52. L. Hartmann, I. Goychuk, M. Grifoni, and P. Hänggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.R4687 61, R4687 (2000).
53. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer-Verlag, Berlin, Heidelberg, New York, 1989).
54. I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.2392 52, 2392 (1995).
55. A. Würger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78. 1759 78, 1759 (1997);
56. A. Würger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.347 57, 347 (1998).
57. I. Goychuk and P. Hänggi, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730500429701 54, 525 (2005).
58. M. Grifoni, M. Winterstetter, and U. Weiss, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.334 56, 334 (1997).
59. H. Grabert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.12753 46, 12753 (1992).
60. C. Aslangul, N. Pottier, and D. Saint-James, J. Phys. (Paris) JOPQAG 0302-0738 47, 1657 (1986).
61. T. Vorrath and T. Brandes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.070402 95, 070402 (2005).
62. J. F. Bonnans, J. Ch. Gilbert, C. Lemaréchal, and C. Sagastizabál, Numerical Optimization: Theoretical and Practical Aspects (Springer, Heidelberg, 2003).
63. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, 2nd ed. (Cambridge University Press, Cambridge, England, 1992).
64. http://www.netlib.org/port;
65. D. M. Gay, Computing Science Technical Report No. 153, AT & T Bell Laboratories, 1990.
66. F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.516 67, 516 (1991).
67. J. Stockburger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.R4709 59, R4709 (1999).
68. V. F. Krotov, Global Methods in Optimal Control Theory (Dekker, New York, 1996).
69. J. F. Poyatos, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.390 78, 390 (1997).
70. M. Thorwart and P. Hänggi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012309 65, 012309 (2001).
71. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, 1995).