Advertisement

Optimal Control Approaches for Aligning/Orienting Asymmetric Top Molecules

  • Yukiyoshi OhtsukiEmail author
  • Masataka Yoshida
  • Yuta Arakawa
Chapter
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 118)

Abstract

We explain optimal control approaches with the aim of three-dimensional (3D) alignment/orientation of asymmetric molecules by using a combination of dipole and lowest-order-induced dipole interactions, the former of which mixes the rotational states with different parity. The present method enables the numerical design of an optimal temporal structure for the laser pulse including its time-dependent polarization on the basis of the molecular Hamiltonian together with the optimization algorithm. After explaining the theoretical framework, numerical details are examined through a case study of one-dimensional (1D) alignment control that is applied to SO2.

Notes

Acknowledgements

We thank Dr. N. Takemoto for stimulating discussions. YO acknowledges support from a Grant-in-Aid for Scientific Research (C) (15K05373) and partly from the Joint Usage/Research Program on Zero-Emission Energy Research, Institute of Advanced Energy, Kyoto University (ZE30B-16). This work is also partly supported by a Grant-in-Aid for JSPS Fellows (17J02010).

References

  1. 1.
    A.P. Peirce, M.A. Dahleh, H. Rabitz, Phys. Rev. A 37, 4950 (1988)ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    R. Kosloff, S.A. Rice, P. Gaspard, S. Tersigni, D.J. Tannor, Chem. Phys. 139, 201 (1989)CrossRefGoogle Scholar
  3. 3.
    W. Zhu, J. Botina, H. Rabitz, J. Chem. Phys. 108, 1953 (1998)ADSCrossRefGoogle Scholar
  4. 4.
    Y. Ohtsuki, W. Zhu, H. Rabitz, J. Chem. Phys. 110, 9825 (1999)ADSCrossRefGoogle Scholar
  5. 5.
    Y. Ohtsuki, K. Nakagami, Y. Fujimura, W. Zhu, H. Rabitz, J. Chem. Phys. 114, 8867 (2001)ADSCrossRefGoogle Scholar
  6. 6.
    Y. Ohtsuki, G. Turinici, H. Rabitz, J. Chem. Phys. 120, 5509 (2004)ADSCrossRefGoogle Scholar
  7. 7.
    R.N. Zare, Angular Momentum (Wiley, New York, 1988)Google Scholar
  8. 8.
    D. Herschbach, Eur. Phys. J. D 38, 3 (2006)ADSCrossRefGoogle Scholar
  9. 9.
    B. Friedrich, D. Herschbach, Phys. Rev. Lett. 74, 4623 (1995)ADSCrossRefGoogle Scholar
  10. 10.
    B. Friedrich, D. Herschbach, J. Phys. Chem. 99, 15686 (1995)CrossRefGoogle Scholar
  11. 11.
    B. Friedrich, D. Herschbach, J. Phys. Chem. A 103, 10280 (1999)CrossRefGoogle Scholar
  12. 12.
    J.J. Larsen, K. Hald, N. Bjerre, H. Stapelfeldt, T. Seideman, Phys. Rev. Lett. 85, 2470 (2000)ADSCrossRefGoogle Scholar
  13. 13.
    H. Stapelfeldt, T. Sideman, Rev. Mod. Phys. 75, 543 (2003)ADSCrossRefGoogle Scholar
  14. 14.
    T. Seideman, E. Hamilton, Adv. At. Mol. Opt. Phys. 52, 289 (2006)Google Scholar
  15. 15.
    Y. Ohtsuki, M. Yoshida, K. Nakashima, K. Arai, K. Nakajima, Adv. Multi-photon Process Spectro 13, 55 (2016)ADSGoogle Scholar
  16. 16.
    N. Mankoč-Borštnik, L. Fonda, B. Borštnik, Phys. Rev. A 35, 4132 (1987)ADSCrossRefGoogle Scholar
  17. 17.
    P.M. Felker, J. Phys. Chem. 96, 7844 (1992)CrossRefGoogle Scholar
  18. 18.
    C. Leichtle, ISh Averbukh, W.P. Schleich, Phys. Rev. Lett. 77, 3999 (1996)ADSCrossRefGoogle Scholar
  19. 19.
    T. Seideman, Phys. Rev. Lett. 83, 4971 (1999)ADSCrossRefGoogle Scholar
  20. 20.
    M. Leibscher, ISh Averbukh, H. Rabitz, Phys. Rev. Lett. 90, 213001 (2003)ADSCrossRefGoogle Scholar
  21. 21.
    M. Leibscher, ISh Averbukh, H. Rabitz, Phys. Rev. A 69, 013402 (2004)ADSCrossRefGoogle Scholar
  22. 22.
    K.F. Lee, E.A. Shapiro, D.M. Villeneuve, P.B. Corkum, Phys. Rev. A 73, 033403 (2006)ADSCrossRefGoogle Scholar
  23. 23.
    J.P. Cryan, P.H. Bucksbaum, R.N. Coffee, Phys. Rev. A 80, 063412 (2009)ADSCrossRefGoogle Scholar
  24. 24.
    H. Abe, Y. Ohtsuki, Phys. Rev. A 83, 053410 (2011)ADSCrossRefGoogle Scholar
  25. 25.
    J.G. Underwood, B.J. Sussman, A. Stolow, Phys. Rev. Lett. 94, 143002 (2005)ADSCrossRefGoogle Scholar
  26. 26.
    K.F. Lee, D.M. Villeneuve, P.B. Corkum, A. Stolow, J.G. Underwood, Phys. Rev. Lett. 97, 173001 (2006)ADSCrossRefGoogle Scholar
  27. 27.
    S.S. Viftrup, V. Kumarappan, S. Trippel, H. Stapelfeldt, E. Hamilton, T. Seideman, Phys. Rev. Lett. 99, 143602 (2007)ADSCrossRefGoogle Scholar
  28. 28.
    S.S. Viftrup, V. Kumarappan, L. Holmegaard, C.Z. Bisgaard, H. Stapelfeldt, M. Artamonov, E. Hamilton, T. Seideman, Phys. Rev. A 79, 023404 (2009)ADSCrossRefGoogle Scholar
  29. 29.
    J.G. Underwood, M. Spanner, MYu. Ivanov, J. Mottershead, B.J. Sussman, A. Stolow, Phys. Rev. Lett. 90, 223001 (2003)ADSCrossRefGoogle Scholar
  30. 30.
    D. Takei, J.H. Mun, S. Minemoto, H. Sakai, Phys. Rev. A 94, 013401 (2016)ADSCrossRefGoogle Scholar
  31. 31.
    A. Rouzée, S. Guérin, O. Faucher, B. Lavorel, Phys. Rev. A 77, 043412 (2008)ADSCrossRefGoogle Scholar
  32. 32.
    S. Pabst, R. Santra, Phys. Rev. A 81, 065401 (2010)ADSCrossRefGoogle Scholar
  33. 33.
    M. Artamonov, T. Seideman, Phys. Rev. A 82, 023413 (2010)ADSCrossRefGoogle Scholar
  34. 34.
    X. Ren, V. Makhija, V. Kumarappan, Phys. Rev. Lett. 112, 173602 (2014)ADSCrossRefGoogle Scholar
  35. 35.
    Y. Ohtsuki, K. Nakagami, Phys. Rev. A 77, 033414 (2008)ADSCrossRefGoogle Scholar
  36. 36.
    M. Yoshida, Y. Ohtsuki, Phys. Rev. A 90, 013415 (2014)ADSCrossRefGoogle Scholar
  37. 37.
    M. Yoshida, Y. Ohtsuki, unpublishedGoogle Scholar
  38. 38.
    H.M. Frey, P. Beaud, T. Gerber, B. Mischler, P.P. Radi, A.P. Tzannis, J. Raman Spectro. 31, 71 (2000)ADSCrossRefGoogle Scholar
  39. 39.
    D. Xenides, G. Maroulis, Chem. Phys. Lett. 319, 618 (2000)ADSCrossRefGoogle Scholar
  40. 40.
    M. Yoshida, N. Takemoto, Y. Ohtsuki, Phys. Rev. A in pressGoogle Scholar
  41. 41.
    R. Damari, S. Kallush, S. Fleischer, Phys. Rev. Lett. 117, 103001 (2016)ADSCrossRefGoogle Scholar
  42. 42.
    A.S. Chatterley, B. Shepperson, H. Stapelfeldt, Phys. Rev. Lett. 119, 073202 (2017)ADSCrossRefGoogle Scholar
  43. 43.
    B. Shepperson, A.A. Søndergaard, L. Christiansen, J. Kaczmarczyk, R.E. Zillich, M. Lemeshko, H. Stapelfeldt, Phys. Rev. Lett. 118, 203203 (2017)ADSCrossRefGoogle Scholar
  44. 44.
    Y. Ohtsuki, J. Chem. Phys. 119, 661 (2003)ADSCrossRefGoogle Scholar
  45. 45.
    R.J.D. Miller, Science 343, 1108 (2014)ADSCrossRefGoogle Scholar
  46. 46.
    T. Okino, Y. Furukawa, T. Shimizu, Y. Nabekawa, K. Yamanouchi, K. Midorikawa, J. Phys. B: At. Mol. Opt. Phys. 47, 124007 (2014)ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Yukiyoshi Ohtsuki
    • 1
    Email author
  • Masataka Yoshida
    • 1
  • Yuta Arakawa
    • 1
  1. 1.Department of Chemistry, Graduate School of ScienceTohoku UniversitySendaiJapan

Personalised recommendations