Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Coherent control of attosecond emission from aligned molecules

Abstract

Controlling attosecond electron wave packets and soft X-ray pulses represents a formidable challenge of general implication to many areas of science1,2,3,4. A strong laser field interacting with atoms or molecules drives ultrafast intra-atomic/molecular electron wave packets on a subfemtosecond timescale, resulting in the emission of attosecond bursts of extreme-ultraviolet light5,6. Controlling the intra-atomic/molecular electron dynamics enables steering of the attosecond emission7,8. Here, we carry out a coherent control in linear molecules, where the interaction of the laser-driven electron wave packet with the core leads to quantum interferences9,10,11,12. We demonstrate that these interferences can be finely controlled by turning the molecular axis relative to the laser polarization, that is, changing the electron recollision angle. The wave-packet coulombic distortion modifies the spectral phase jump measured in the extreme-ultraviolet emission. Our attosecond control of the interference results in attosecond pulse shaping, useful for future applications in ultrafast coherent control of atomic and molecular processes.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Theoretical dependence of the CO2 recombination dipole on the angle and energy of the free-electron plane wave.
Figure 2: Experimentally measured phase of the harmonic emission from aligned CO2 molecules.
Figure 3: Experimental spectral intensity and phase of the CO2 harmonic emission normalized by that of Kr.
Figure 4: Attosecond dynamics of the harmonic emission from aligned CO2 molecules.

Similar content being viewed by others

References

  1. Drescher, M. et al. Time-resolved atomic inner-shell spectroscopy. Nature 419, 803–807 (2002).

    Article  ADS  Google Scholar 

  2. Remetter, T. et al. Attosecond electron wave packet interferometry. Nature Phys. 2, 323–326 (2006).

    Article  ADS  Google Scholar 

  3. Baker, S. et al. Probing proton dynamics in molecules on an attosecond time scale. Science 312, 424–427 (2006).

    Article  ADS  Google Scholar 

  4. Cavallieri, A. et al. Attosecond spectroscopy in condensed matter. Nature 449, 1029–1032 (2007).

    Article  ADS  Google Scholar 

  5. Paul, P. M. et al. Observation of a train of attosecond pulses from high harmonic generation. Science 292, 1689–1692 (2001).

    Article  ADS  Google Scholar 

  6. Hentschel, M. et al. Attosecond metrology. Nature 414, 509–513 (2001).

    Article  ADS  Google Scholar 

  7. Sola, I. et al. Controlling attosecond electron dynamics by phase-stabilized polarization gating. Nature Phys. 2, 319–322 (2006).

    Article  ADS  Google Scholar 

  8. Pfeifer, T. et al. Single attosecond pulse generation in the multicycle-driver regime by adding a weak second-harmonic field. Opt. Lett. 31, 975–977 (2005).

    Article  ADS  Google Scholar 

  9. Lein, M., Velotta, R., Marangos, J. P. & Knight, P. L. Role of the intramolecular phase in high-harmonic generation. Phys. Rev. Lett. 88, 183903 (2002).

    Article  ADS  Google Scholar 

  10. Lagmago Kamta, G. & Bandrauk, A. D. Three-dimensional time-profile analysis of high-order harmonic generation in molecules: Nuclear interferences in H2+. Phys. Rev. A 71, 053407 (2005).

    Article  ADS  Google Scholar 

  11. Kanai, T., Minemoto, S. & Sakai, H. Quantum interference during high-order harmonic generation from aligned molecules. Nature 435, 470–474 (2005).

    Article  ADS  Google Scholar 

  12. Vozzi, C. et al. Controlling two-center interference in molecular high harmonic generation. Phys. Rev. Lett. 95, 153902 (2005).

    Article  ADS  Google Scholar 

  13. McPherson, A. et al. Studies of multiphoton production of vacuum-ultraviolet radiation in the rare gases. J. Opt. Soc. Am. B 4, 595–601 (1987).

    Article  ADS  Google Scholar 

  14. Ferray, M. et al. Multiple-harmonic conversion of 1064 nm radiation in rare gases. J. Phys. B 21, L31–L35 (1988).

    Article  Google Scholar 

  15. Corkum, P. B. Plasma perspective on strong field multiphoton ionization. Phys. Rev. Lett. 71, 1994–1997 (1993).

    Article  ADS  Google Scholar 

  16. Schafer, K. J., Yang, B., DiMauro, L. F. & Kulander, K. C. Above threshold ionization beyond the high harmonic cutoff. Phys. Rev. Lett. 70, 1599–1602 (1993).

    Article  ADS  Google Scholar 

  17. Mairesse, Y. et al. Attosecond synchronization of high-harmonic soft X-rays. Science 302, 1540–1543 (2003).

    Article  ADS  Google Scholar 

  18. Lein, M., Hay, N., Velotta, R., Marangos, J. P. & Knight, P. L. Interference effects in high-order harmonic generation with molecules. Phys. Rev. A 66, 023805 (2002).

    Article  ADS  Google Scholar 

  19. Ciappina, M. F., Chirila, C. C. & Lein, M. Influence of Coulomb continuum wave functions in the description of high-order harmonic generation with H2+. Phys. Rev. A 75, 043405 (2007).

    Article  ADS  Google Scholar 

  20. Le, A.-T., Tong, X.-M. & Lin, C. D. Evidence of two-center interference in high-order harmonic generation from CO2 . Phys. Rev. A 73, 041402 (2006).

    Article  ADS  Google Scholar 

  21. Itatani, J. et al. Tomographic imaging of molecular orbitals. Nature 432, 867–871 (2004).

    Article  ADS  Google Scholar 

  22. Rosca-Pruna, F. & Vrakking, M. Experimental observation of revival structures in picosecond laser-induced alignment of I2 . Phys. Rev. Lett. 87, 153902 (2001).

    Article  ADS  Google Scholar 

  23. Wabnitz, H. et al. Generation of attosecond pulses in molecular nitrogen. Eur. Phys. J. D 40, 305–311 (2006).

    Article  ADS  Google Scholar 

  24. Levesque, J., Zeidler, D., Marangos, J. P., Corkum, P. B. & Villeneuve, D. M. High harmonic generation and the role of atomic orbital wave functions. Phys. Rev. Lett. 98, 183903 (2007).

    Article  ADS  Google Scholar 

  25. Dudovich, N., Oron, D. & Silberberg, Y. Coherent transient enhancement of optically induced resonant transitions. Phys. Rev. Lett. 88, 123004 (2002).

    Article  ADS  Google Scholar 

  26. Smirnova, O., Mouritzen, A. S., Patchkovskii, S. & Ivanov, M. Yu. Coulomb–laser coupling in laser-assisted photoionization and molecular tomography. J. Phys. B 40, F197–F206 (2007).

    Article  ADS  Google Scholar 

  27. Xie, X. et al. Subcycle dynamics in the laser ionization of molecules. Phys. Rev. A 76, 023426 (2007).

    Article  ADS  Google Scholar 

  28. Patchkovskii, S., Zhao, Z., Brabec, T. & Villeneuve, D. M. High harmonic generation and molecular orbital tomography in multielectron systems: Beyond the single active electron approximation. Phys. Rev. Lett. 97, 123003 (2006).

    Article  ADS  Google Scholar 

  29. Zhao, Z., Yuan, J. & Brabec, T. Multielectron signatures in the polarization of high-order harmonic radiation. Phys. Rev. A 76, 031404 (2007).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We acknowledge financial support from the EU-FP6 XTRA (MRTN-CT-2003-505138) and LASERLAB (RII3-CT-2003-506350) programmes, the ANR Attoscience and the Engineering and Physical Sciences Research Council (UK) (GR/S22424/01).

Author information

Authors and Affiliations

Authors

Contributions

P.S. with B.C., H.M. and P.M. planned the project. W.B., H.M., P.B., P.M., B.C. and P.S. designed and installed the experiment. W.B. and S.H., with assistance from H.M., P.B., G.W., M.S., L.J.F., P.M. and P.S. carried out the measurements. W.B., S.H., H.M. and P.S. analysed the data. R.T., J.C. and A.M. carried out the dipole simulations. All authors discussed the results and contributed to the final manuscript. W.B. and S.H. contributed equally to this work.

Corresponding author

Correspondence to P. Salieres.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boutu, W., Haessler, S., Merdji, H. et al. Coherent control of attosecond emission from aligned molecules. Nature Phys 4, 545–549 (2008). https://doi.org/10.1038/nphys964

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue date:

  • DOI: https://doi.org/10.1038/nphys964

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing