Superluminal correlations in ensembles of optical phase singularities – Nature

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  • Embon, L. et al. Imaging of super-fast dynamics and flow instabilities of superconducting vortices. Nat. Commun. 8, 85 (2017).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Sachkou, Y. P. et al. Coherent vortex dynamics in a strongly interacting superfluid on a silicon chip. Science 366, 1480–1485 (2019).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Bliokh, K. Y. et al. Roadmap on structured waves. J. Opt. 25, 103001 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Dennis, M. R., King, R. P., Jack, B., O’Holleran, K. & Padgett, M. J. Isolated optical vortex knots. Nat. Phys. 6, 118–121 (2010).

    Article 
    CAS 

    Google Scholar
     

  • Berry, M. V. Disruption of wavefronts: statistics of dislocations in incoherent Gaussian random waves. J. Phys. A Math. Gen. 11, 27–38 (1978).

    Article 
    ADS 
    MathSciNet 

    Google Scholar
     

  • De Angelis, L., Alpeggiani, F., Di Falco, A. & Kuipers, L. Spatial distribution of phase singularities in optical random vector waves. Phys. Rev. Lett. 117, 093901 (2016).

    Article 
    ADS 
    PubMed 

    Google Scholar
     

  • Berry, M. V. & Dennis, M. R. Phase singularities in isotropic random waves. Proc. R. Soc. Lond. A 456, 2059–2079 (2000).

    Article 
    ADS 
    MathSciNet 

    Google Scholar
     

  • Hansen, J. P. & McDonald, I. R. Theory of Simple Liquids: With Applications to Soft Matter (Academic Press, 2013).

  • Toulouse, G. & Kléman, M. Principles of a classification of defects in ordered media. J. Physique Lett. 37, 149–151 (1976).

    Article 

    Google Scholar
     

  • Blatter, G., Feigel’man, M. V., Geshkenbein, V. B., Larkin, A. I. & Vinokur, V. M. Vortices in high-temperature superconductors. Rev. Mod. Phys. 66, 1125–1388 (1994).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Drori, L. et al. Quantum vortices of strongly interacting photons. Science 381, 193–198 (2023).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Sugic, D. et al. Particle-like topologies in light. Nat. Commun. 12, 6785 (2021).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Indebetouw, G. Optical vortices and their propagation. J. Mod. Opt. 40, 73–87 (1993).

    Article 
    ADS 

    Google Scholar
     

  • Freund, I. Optical vortex trajectories. Opt. Commun. 181, 19–33 (2000).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Li, P. et al. Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing. Nat. Commun. 6, 7507 (2015).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Yoxall, E. et al. Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity. Nat. Photon. 9, 674–678 (2015).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Caldwell, J. D. et al. Photonics with hexagonal boron nitride. Nat. Rev. Mater. 4, 552–567 (2019).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Kurman, Y. et al. Spatiotemporal imaging of 2D polariton wave packet dynamics using free electrons. Science 372, 1181–1186 (2021).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Giles, A. J. et al. Ultralow-loss polaritons in isotopically pure boron nitride. Nat. Mater. 17, 134–139 (2018).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Barwick, B., Flannigan, D. J. & Zewail, A. H. Photon-induced near-field electron microscopy. Nature 462, 902–906 (2009).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Feist, A. et al. Quantum coherent optical phase modulation in an ultrafast transmission electron microscope. Nature 521, 200–203 (2015).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Madan, I. et al. Holographic imaging of electromagnetic fields via electron-light quantum interference. Sci. Adv. 5, eaav8358 (2019).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Nabben, D., Kuttruff, J., Stolz, L., Ryabov, A. & Baum, P. Attosecond electron microscopy of sub-cycle optical dynamics. Nature 619, 63–67 (2023).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Gaida, J. H. et al. Attosecond electron microscopy by free-electron homodyne detection. Nat. Photon. 18, 509–515 (2024).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Bucher, T. et al. Coherently amplified ultrafast imaging using a free-electron interferometer. Nat. Photon. 18, 809–815 (2024).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Nye, J. F. & Berry, M. V. Dislocations in wave trains. Proc. R. Soc. Lond. A 336, 165–190 (1974).

    Article 
    ADS 
    MathSciNet 

    Google Scholar
     

  • Nye, J. F. The motion and structure of dislocations in wavefronts. Proc. R. Soc. Lond. A 378, 219–239 (1981).

    Article 
    ADS 
    MathSciNet 

    Google Scholar
     

  • Andersen, M. F. et al. Quantized rotation of atoms from photons with orbital angular momentum. Phys. Rev. Lett. 97, 170406 (2006).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Tsesses, S. et al. Tunable photon-induced spatial modulation of free electrons. Nat. Mater. 22, 345–352 (2023).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Török, P. & Munro, P. R. T. 2004. The use of Gauss-Laguerre vector beams in STED microscopy. Opt. Express 12, 3605–3617 (2004).

    Article 
    ADS 
    PubMed 

    Google Scholar
     

  • Berry, M. et al. Roadmap on superoscillations. J. Opt. 21, 053002 (2019).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Mair, A., Vaziri, A., Weihs, G. & Zeilinger, A. Entanglement of the orbital angular momentum states of photons. Nature 412, 313–316 (2001).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Gibson, G. et al. Free-space information transfer using light beams carrying orbital angular momentum. Opt. Express 12, 5448–5456 (2004).

    Article 
    ADS 
    PubMed 

    Google Scholar
     

  • Davis, T. J. et al. Ultrafast vector imaging of plasmonic skyrmion dynamics with deep subwavelength resolution. Science 368, eaba6415 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Ni, J. et al. Multidimensional phase singularities in nanophotonics. Science 374, eabj0039 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Berry, M. V. & Dennis, M. R. Knotted and linked phase singularities in monochromatic waves. Proc. R. Soc. Lond. A 457, 2251–2263 (2001).

    Article 
    ADS 
    MathSciNet 

    Google Scholar
     

  • Ostrovsky, E., Cohen, K., Tsesses, S., Gjonaj, B. & Bartal, G. Nanoscale control over optical singularities. Optica 5, 283–288 (2018).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Eckhardt, B., Dörr, U., Kuhl, U. & Stöckmann, H. J. Correlations of electromagnetic fields in chaotic cavities. Europhys. Lett. 46, 134–140 (1999).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Dai, S. et al. Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride. Science 343, 1125–1129 (2014).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Berry, M. V. Vector fields for monochromatic waves with general dispersion: vortex and stagnation singularities. J. Phys. A Math. Theor. 58, 275201 (2025).

    Article 
    MathSciNet 

    Google Scholar
     

  • Vasnetsov, M., Pas’ ko, V., Khoroshun, A., Slyusar, V. & Soskin, M. Observation of superluminal wave-front propagation at the shadow area behind an opaque disk. Opt. Lett. 32, 1830–1832 (2007).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Dominici, L. et al. Full-Bloch beams and ultrafast Rabi-rotating vortices. Phys. Rev. Res. 3, 013007 (2021).

    Article 
    CAS 

    Google Scholar
     

  • Jordan, A. N., Howell, J. C., Vamivakas, N. & Karimi, E. Superoscillations and physical applications. In Operator Theory (eds Alpay, D. et al.) https://doi.org/10.1007/978-3-0348-0692-3_101-1 (Springer, 2025).

  • Berry, M. V. Waves near zeros. In Proc. Conference on Coherence and Quantum Optics, CMB1, OSA Technical Digest (CD) (Optica Publishing Group, 2007).

  • Zhao, Z. et al. Experimental demonstration of 16-Gbit/s millimeter-wave communications link using thin metamaterial plates to generate data-carrying orbital-angular-momentum beams. In IEEE International Conference on Communications, 1392–1397 (IEEE, 2015).

  • Stav, T. et al. Quantum entanglement of the spin and orbital angular momentum of photons using metamaterials. Science 361, 1101–1104 (2018).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Gorlach, A. et al. Photonic quantum state tomography using free electrons. Phys. Rev. Lett. 133, 250801 (2024).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Forbes, A., Nothlawala, F. & Vallés, A. Progress in quantum structured light. Nat. Photon. 19, 1291–1300 (2025).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Shpiro, T. et al. Toward photon-induced near-field electron tomography. Preprint at https://arxiv.org/abs/2510.24648 (2025).

  • Bliokh, K. Y. et al. Theory and applications of free-electron vortex states. Phys. Rep. 690, 1–70 (2017).

    Article 
    ADS 
    MathSciNet 
    CAS 

    Google Scholar
     

  • Midgley, P. A. & Dunin-Borkowski, R. E. Electron tomography and holography in materials science. Nat. Mater. 8, 271–280 (2009).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Russo, C. J. & Henderson, R. Charge accumulation in electron cryomicroscopy. Ultramicroscopy 187, 43–49 (2018).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Ferrari, B. M. et al. Realization of a pre-sample photonic-based free-electron modulator in ultrafast transmission electron microscopes. ACS Photon. 12, 5864–5873 (2025).

    Article 
    CAS 

    Google Scholar
     

  • Wu, Y. et al. Enhanced thermal conduction by surface phonon-polaritons. Sci. Adv. 6, eabb4461 (2020).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Piazza, L. et al. Simultaneous observation of the quantization and the interference pattern of a plasmonic near-field. Nat. Commun. 6, 6407 (2015).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Wang, K. et al. Coherent interaction between free electrons and a photonic cavity. Nature 582, 50–54 (2020).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Kfir, O. et al. Controlling free electrons with optical whispering-gallery modes. Nature 582, 46–49 (2020).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Bucher, T. et al. Free-electron Ramsey-type interferometry for enhanced amplitude and phase imaging of nearfields. Sci. Adv. 9, eadi5729 (2023).

    Article 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Liu, S. et al. Single crystal growth of millimeter-sized monoisotopic hexagonal boron nitride. Chem. Mater. 30, 6222–6225 (2018).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Kurman, Y. et al. Dynamics of optical vortices in van der Waals materials. Optica 10, 612–618 (2023).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Gibertini, M., Koperski, M., Morpurgo, A. F. & Novoselov, K. S. Magnetic 2D materials and heterostructures. Nat. Nanotechnol. 14, 408–419 (2019).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • de Abajo, F. J. G. et al. Roadmap for photonics with 2D materials. ACS Photon. 8, 3961–4095 (2025).

    Article 

    Google Scholar
     

  • Maleev, I. D. & Swartzlander, G. A. Jr. Composite optical vortices. J. Opt. Soc. Am. B 20, 1169–1176 (2003).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Bekshaev, A., Chernykh, A., Khoroshun, A. & Mikhaylovskaya, L. Singular skeleton evolution and topological reactions in edge-diffracted circular optical-vortex beams. Opt. Commun. 397, 72–83 (2017).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • De Angelis, L., Alpeggiani, F., Di Falco, A. & Kuipers, L. Persistence and lifelong fidelity of phase singularities in optical random waves. Phys. Rev. Lett. 119, 203903 (2017).

    Article 
    ADS 
    PubMed 

    Google Scholar
     

  • De Angelis, L. & Kuipers, L. Effective pair-interaction of phase singularities in random waves. Opt. Lett. 46, 2734–2737 (2021).

    Article 
    ADS 
    PubMed 

    Google Scholar
     

  • Berry, M. V. Regular and irregular semiclassical wavefunctions. J. Phys. A Math. Gen. 10, 2083–2092 (1977).

    Article 
    ADS 
    MathSciNet 

    Google Scholar
     

  • Kourkoulou, I., Landry, M. J., Nicolis, A. & Parmentier, K. Apparently superluminal superfluids. J. High Energy Phys. 2024, 80 (2024).

    Article 
    MathSciNet 

    Google Scholar
     

  • Seo, S. W., Ko, B., Kim, J. H. & Shin, Y. I. Observation of vortex-antivortex pairing in decaying 2D turbulence of a superfluid gas. Sci. Rep. 7, 4587 (2017).

    Article 
    ADS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Green, S. Fluid Vortices (Springer, 2012).

  • Fiorino, M. & Elsberry, R. L. Some aspects of vortex structure related to tropical cyclone motion. J. Atmos. Sci. 46, 975–990 (1989).

    Article 
    ADS 

    Google Scholar
     

  • Poincaré, H. Sur les courbes définies par les équations différentielles. J. Math. Pures Appl. 4, 167–244 (1885).


    Google Scholar
     

  • Vanacore, G. M. et al. Author Correction: Attosecond coherent control of free-electron wave functions using semi-infinite light fields. Nat. Commun. 10, 1069 (2019).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Machado, F., Rivera, N., Buljan, H., Soljačić, M. & Kaminer, I. Shaping polaritons to reshape selection rules. ACS Photon. 5, 3064–3072 (2018).

    Article 
    CAS 

    Google Scholar
     

  • Session, D. et al. Optical pumping of electronic quantum Hall states with vortex light. Nat. Photon. 19, 156–161 (2025).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Spektor, G. et al. and Meyer zu Heringdorf, F.J. Revealing the subfemtosecond dynamics of orbital angular momentum in nanoplasmonic vortices. Science 355, 1187–1191 (2017).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Lim, S. W. D., Spaegele, C. M. & Capasso, F. Multidimensional optical singularities and their applications. Preprint at https://arxiv.org/abs/2406.00784 (2024).

  • Thompson, W. On Vortex Atoms by Lord Kelvin. Proc. R. Soc. Edin. 6, 94–105 (1867).

    Article 

    Google Scholar
     

  • Zhang, Z. et al. Particlelike behavior of topological defects in linear wave packets in photonic graphene. Phys. Rev. Lett. 122, 233905 (2019).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Rumi, G. et al. Hyperuniform vortex patterns at the surface of type-II superconductors. Phys. Rev. Res. 1, 033057 (2019).

    Article 
    CAS 

    Google Scholar
     

  • Brandt, E. H. Electric field in superconductors with rectangular cross section. Phys. Rev. B 52, 15442 (1995).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Aharonov, Y., Popescu, S. & Rohrlich D. How can an infra-red photon behave as a gamma ray? Preprint TAUP, 1847–1890 (1991).

  • Berry, M. V. in Quantum Coherence and Reality: In Celebration of the 60th Birthday of Yakir Aharonov (eds Anandan, J. S. & Safko, J. L.) 55–64 (World Scientific, 1994).

  • Rogers, E. T. et al. A super-oscillatory lens optical microscope for subwavelength imaging. Nat. Mater. 11, 432–435 (2012).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     



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