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Imaging electronic quantum motion with light
Open accessAbstract
Imaging the quantum motion of electrons not only in real-time, but also in real-space is essential to understand for example bond breaking and formation in molecules, and charge migration in peptides and biological systems. Time-resolved imaging interrogates the unfolding electronic motion in such systems. We find that scattering patterns, obtained by X-ray time-resolved imaging from an electronic wavepacket, encode spatial and temporal correlations that deviate substantially from the common notion of the instantaneous electronic density as the key quantity being probed. Surprisingly, the patterns provide an unusually visual manifestation of the quantum nature of light. This quantum nature becomes central only for non-stationary electronic states and has profound consequences for time-resolved imaging.
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“It has been demonstrated that, even at low intensity, ultrafast x-ray scattering from electron wavepackets can hold surprises, which derive from the impossibility to separate electronically elastic and inelastic scattering events when using ultrafast x-ray pulses [116].”
From Roadmap of ultrafast x-ray atomic and molecular physics (2018) · cites this paper as [116]
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Cites
Krausz, F., & Ivanov, M. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.163 · Cited by 5,468
First lasing and operation of an ångstrom-wavelength free-electron laser
Emma, P., Akre, R., Arthur, J., Bionta, R., Bostedt, C., Bozek, J., Brachmann, A., Bucksbaum, P., Coffee, R., Decker, F.-J., et al. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.176 · Cited by 3,167
Hentschel, M., Kienberger, R., Spielmann, C., Reider, G. A., Milosevic, N., Brabec, T., Corkum, P., Heinzmann, U., Drescher, M., & Krausz, F. (2001) · Nature · doi:10.1038/35107000 · Cited by 2,884
Elements of Modern X‐ray Physics
Als-Nielsen, J., & McMorrow, D. F. (2011) · Wiley eBooks · doi:10.1002/9781119998365 · Cited by 2,212
Femtosecond X-ray protein nanocrystallography
Chapman, H. N., Fromme, P., Barty, A., White, T. A., Kirian, R. A., Aquila, A., Hunter, M. S., Schulz, J., DePonte, D. P., Weierstall, U., et al. (2011) · Nature · doi:10.1038/nature09750 · Cited by 2,076
Potential for biomolecular imaging with femtosecond X-ray pulses
Neutze, R., Wouts, R., van der Spoel, D., Weckert, E., & Hajdu, J. (2000) · Nature · doi:10.1038/35021099 · Cited by 2,022
Miao, J., Charalambous, P. S., Kirz, J., & Sayre, D. (1999) · Nature · doi:10.1038/22498 · Cited by 1,956
Lessons from nature about solar light harvesting
Scholes, G. D., Fleming, G. R., Olaya-Castro, A., & van Grondelle, R. (2011) · Nature Chemistry · doi:10.1038/nchem.1145 · Cited by 1,915
Goulielmakis, E., Schultze, M., Hofstetter, M., Yakovlev, V. S., Gagnon, J., Uiberacker, M., Aquila, A., Gullikson, E. M., Attwood, D. T., Kienberger, R., et al. (2008) · Science · doi:10.1126/science.1157846 · Cited by 1,617
Real-time observation of valence electron motion
Goulielmakis, E., Loh, Z.-H., Wirth, A., Santra, R., Rohringer, N., Yakovlev, V. S., Zherebtsov, S., Pfeifer, T., Azzeer, A. M., Kling, M. F., et al. (2010) · Nature · doi:10.1038/nature09212 · Cited by 1,312
Self-citation
Research works printed but not linked: 1
- NW Ashcroft, ND Mermin Solid State Physics (Saunders College, New York, 1979).
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Simmermacher, M., Weber, P. M., & Kirrander, A. (2023) · Royal Society of Chemistry eBooks · doi:10.1039/bk9781837671564-00085 · Cited by 6
Montoya−Castillo, A., Chen, M. S., Raj, S. L., Jung, K. A., Kjær, K. S., Morawietz, T., Gaffney, K. J., van Driel, T. B., & Markland, T. E. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.056001 · Cited by 6
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Rana, N., Roy, A. P., Bansal, D., & Dixit, G. (2021) · npj Computational Materials · doi:10.1038/s41524-020-00475-4 · Cited by 5
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Liane, E. M., Simmermacher, M., & Kirrander, A. (2024) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/ad53af · Cited by 4
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Slowik, J. M., & Santra, R. (2013) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/46/16/164016 · Cited by 4
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Strong field dissociative ionization of the D2+ : Nuclear wave packet analysis
Tóth, A., Borbély, S., Halász, G. J., & Vibók, Á. (2017) · Chemical Physics Letters · doi:10.1016/j.cplett.2017.01.067 · Cited by 4
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Ho, P. J., Fouda, A. E. A., Li, K., Doumy, G., & Young, L. (2021) · Faraday Discussions · doi:10.1039/d0fd00106f · Cited by 4
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Tang, Z., Jarupula, R., & Yong, H. (2024) · iScience · doi:10.1016/j.isci.2024.110705 · Cited by 4
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Debnath, A., & Santra, R. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023158 · Cited by 4
Self-citationAttosecond diffraction imaging of electron dynamics in solids
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Echo enabled harmonic generation free electron laser in a mode-locked configuration
Henderson, J. R., & McNeil, B. W. J. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/100/64001 · Cited by 3
Shao, H., & Starace, A. F. (2018) · Physical Review A · doi:10.1103/physreva.97.022702 · Cited by 3
Shao, H., & Starace, A. F. (2019) · Physical Review A · doi:10.1103/physreva.99.033413 · Cited by 3
Probing Delocalized Current Densities in Selenophene by Resonant X-ray Sum-Frequency Generation
Cavaletto, S. M., & Mukamel, S. (2020) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.0c00886 · Cited by 3
Popova-Gorelova, D. (2024) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/ad5fd4 · Cited by 4
Ultrashort Pulses in the Structural Analysis of Diamond Layers with NV Centers
Makarov, D. N., Каналбекович, Е. М., Gusarevich, E. S., Makarova, K. A., & Borisov, M. (2024) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/s0021364024603567 · Cited by 3
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Makarov, D. N., Каналбекович, Е. М., Gusarevich, E. S., Makarova, K. A., & Borisov, M. (2024) · Optics Letters · doi:10.1364/ol.546635 · Cited by 3
Makarov, D. N., Каналбекович, Е. М., Gusarevich, E. S., & Makarova, K. A. (2025) · Optics Letters · doi:10.1364/ol.551386 · Cited by 3
Disruptive photon technologies for chemical dynamics
Chapman, H. N. (2014) · Faraday Discussions · doi:10.1039/c4fd00156g · Cited by 3
Scattering of Ultrashort X-ray Pulses from Oriented NV Centers in the Diamond Structure
Makarov, D. N., Каналбекович, Е. М., Gusarevich, E. S., Matveev, V., Makarova, K., & Borisov, M. (2024) · Crystals · doi:10.3390/cryst14020193 · Cited by 2
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Venkat, P., Bharti, A., & Dixit, G. (2026) · Physical review. B./Physical review. B · doi:10.1103/6nxz-kgxd · Cited by 2
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Dunne, M., Schoenlein, R. W., Cryan, J. P., & Wolf, T. (2023) · Royal Society of Chemistry eBooks · doi:10.1039/bk9781837671564-00301 · Cited by 2
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Mi, X., Zhang, M., Zhao, L., Liang, Z., Peng, R., Guo, Z., Bokarev, S. I., & Li, Z. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01296 · Cited by 2
Extreme Metrology for Ultrafast Electron Dynamics at the Atomic Scale
Kim, D. E. (2018) · Journal of the Korean Physical Society · doi:10.3938/jkps.73.227 · Cited by 2
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Venkatesh, A., & Robicheaux, F. (2022) · Physical Review A · doi:10.1103/physreva.106.033125 · Cited by 2
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Jain, B., & Krishnamoorthy, K. (2017) · Electrochimica Acta · doi:10.1016/j.electacta.2017.06.156 · Cited by 2
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RetractedRETRACTED: Influence of the shape of ultrashort X-ray pulses on diffraction in polyatomic systems
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RetractedUltrafast X-Ray Scattering: New Views of Chemical Reaction Dynamics
Weber, P. M., Stankus, B., & Kirrander, A. (2024) · Springer eBooks · doi:10.1007/978-981-97-2914-2_7 · Cited by 1
Attosecond Science Comes of Age
Krausz, F. (2013) · Springer series in optical sciences/SPringer series in optical sciences · doi:10.1007/978-3-642-37623-8_14 · Cited by 1
Use of attosecond electron pulses to image electronic motion in atoms and molecules
Shao, H., & Starace, A. F. (2013) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.2023522 · Cited by 1
Bende, A. (2015) · Annual reports in computational chemistry · doi:10.1016/bs.arcc.2015.09.001 · Cited by 1
Compton ionization momentum spectrum from neutral hydrogenlike atoms
Dai, D., & Fu, L. (2023) · Physical Review A · doi:10.1103/physreva.107.043118 · Cited by 1
Guo, Y., Haase, D., Manz, J., Wang, H., & Yang, Y. (2024) · ChemPhysChem · doi:10.1002/cphc.202400132 · Cited by 1
Atomic-scale imaging of laser-driven electron dynamics in solids
Popova-Gorelova, D., & Santra, R. (2024) · Communications Physics · doi:10.1038/s42005-024-01810-7 · Cited by 2
Self-citationAttosecond charge migration in organic molecules: Initiating and probing localized electron holes
Mauger, F., Giri, S., Folorunso, A. S., Hamer, K., Jayasinghe, D. D., Lopata, K. A., Schäfer, K. J., & Gaarde, M. B. (2025) · Advances in atomic, molecular, and optical physics · doi:10.1016/bs.aamop.2025.04.001 · Cited by 1
Shao, H., & Starace, A. F. (2020) · Physical Review A · doi:10.1103/physreva.101.022704 · Cited by 1
Theory of parametric x-ray optical wavemixing processesPreprint
Krebs, D., & Rohringer, N. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2104.05838 · Cited by 1
Imaging ultrafast electronic motion by x-ray scattering
Dixit, G., & Santra, R. (2014) · Journal of Physics Conference Series · doi:10.1088/1742-6596/488/1/012009
Self-citationModel study on how an ordered grouping of atoms affects their inner-shell photoionization
Brand, A., Kaiser, B., Vagov, A., Axt, V. M., & Pietsch, U. (2015) · Physical Review A · doi:10.1103/physreva.92.033424
Imaging electronic motions by ultrafast electron diffraction
Shao, H., & Starace, A. F. (2017) · Ultrafast Nonlinear Imaging and Spectroscopy · doi:10.1117/12.2273560
Hau‐Riege, S. P. (2014) · Wiley eBooks · doi:10.1002/9783527664498.refs
Scattering of ultra-short laser pulses by dynamic targets
Makarova, K. A. (2022) · AIP conference proceedings · doi:10.1063/5.0088696
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Rajpoot, R., Holkundkar, A. R., Dixit, G., & Rana, N. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4562075
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Morimoto, Y. (2023) · Molecular Science · doi:10.3175/molsci.17.a0125
Huang, Y. (2023) · Springer theses · doi:10.1007/978-3-031-42826-5_8
Lattice Dynamics: Excitation and Probe
Huang, Y. (2023) · Springer theses · doi:10.1007/978-3-031-42826-5_2
Dodia, M., Rouxel, J. R., Cho, D., Zhang, Y. A., Keefer, D., Bonn, M., Nagata, Y., & Mukamel, S. (2024) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c00040
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Liane, E. M., Simmermacher, M., Weber, P. M., & Kirrander, A. (2024) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/ad8a33
Vashistha, M., Breckwoldt, N., Casadei, C. M., Hannemann, T., Schertler, G. F. X., & Santra, R. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.043198
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Effect of the Shape of Ultrashort X-Ray Pulses on Their Scattering on Crystals
Макаров, Д. Н., Каналбекович, Е. М., & Gusarevich, E. S. (2025) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/s0021364025609388
Imaging the Shape of Electron Orbitals with Twisted X-rays
Fereidani, R. M., & Yong, H. (2026) · Ultrafast Science · doi:10.34133/ultrafastscience.0151
Proposal for resolving quantized Landau orbits via elastic XUV scattering
Meyer, S., Sturm, J., Schröder, C., Hughes, S., Knorr, A., & Greten, L. (2026) · Physical review. B./Physical review. B · doi:10.1103/hq91-75kb
Few-femtosecond time resolution in optically pumped hard X-ray scattering at a free-electron laser
Weckwerth, E., Duran, M. T. C., Gabalski, I., Allum, F., Bain, M., Bhattacharyya, S., Brahms, C., Brenner, L., Britton, M. A., Carrascosa, A. M., et al. (2026) · Optica · doi:10.1364/optica.587785
Dong, B., Mi, X., Zhang, M., Zhao, L., Guo, Z., Li, S., Bokarev, S. I., Bostedt, C., Xu, H., & Li, Z. (2026) · Physical Chemistry Chemical Physics · doi:10.1039/d6cp00599c
Hutton, L., Carrascosa, A. M., Simmermacher, M., & Kirrander, A. (2026) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.6c00207
Metadata
- Authors
- Dixit, G., Vendrell, O., & Santra, R.
- Affiliations
- Deutsches Elektronen-Synchrotron DESY (DE)
- Universität Hamburg (DE)
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2012-07-02
- Volume
- 109
- Issue
- 29
- Pages
- 11636-11640
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC3406851
- OpenAlex
- W2533628335
- Cited by
- 177
- References
- 43
- Citations by year
- 2026: 7 · 2025: 8 · 2024: 18 · 2023: 19 · 2022: 14 · 2021: 14 · 2020: 13 · 2019: 11 · 2018: 13 · 2017: 11 · 2016: 6 · 2015: 8 · 2014: 19 · 2013: 12 · 2012: 4
- FWCI
- 7.11
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- Europe PMC (PubMed Central) (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Desy publication database (The Deutsches Elektronen-Synchrotron) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Physical Sciences › Physics and Astronomy › Radiation › Advanced X-ray Imaging Techniques
- Physical Sciences › Physics and Astronomy › Radiation › X-ray Spectroscopy and Fluorescence Analysis
- Keywords
- time-resolved X-ray imaging, electron wave packets, spatio-temporal correlation, quantum nature of light, bond breaking and formation, charge migration
- MeSH terms
- Electrons, Light, Models, Chemical, Quantum Theory, Radiography, Scattering, Radiation
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