---
res:
  bibo_abstract:
  - 'Phase singularities—points carrying quantized topological charge—are universal
    features found across diverse wave systems from superfluids and superconductors
    to acoustic and optical fields1,2,3,4. Ensembles of these singularities exhibit
    distance correlations resembling particles in liquids5,6,7,8, extensively studied
    for their role in exotic material phases9,10,11. By contrast, the full correlations
    in phase space that govern the system evolution have remained unexplored and experimentally
    inaccessible. Here we directly measure the ultrafast dynamics of optical singularity
    ensembles, capturing their full phase-space correlations, presenting the joint
    distance–velocity distribution. Our observations show a breakdown of the particle-singularity
    analogy12: phase singularities accelerate towards formally divergent velocities
    in the moment before annihilation7,13,14, indicated by measurements of velocities
    exceeding the speed of light. These apparent superluminal velocities are paradoxically
    amplified by the slow group velocity of hyperbolic phonon polaritons in our material
    platform, hexagonal boron nitride membranes15,16,17,18,19. We demonstrate these
    phenomena using combined hardware and algorithmic advances in ultrafast electron
    microscopy18,20,21,22,23,24,25, achieving spatial and temporal resolutions, each
    an order of magnitude below the polaritonic wavelength and cycle period. Our findings
    deepen our understanding of phase singularities and their universality, enabling
    to probe topological defect dynamics at previously unattainable timescales.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: T.
      foaf_name: Bucher, T.
      foaf_surname: Bucher
  - foaf_Person:
      foaf_givenName: A.
      foaf_name: Gorlach, A.
      foaf_surname: Gorlach
  - foaf_Person:
      foaf_givenName: A.
      foaf_name: Niedermayr, A.
      foaf_surname: Niedermayr
  - foaf_Person:
      foaf_givenName: Q.
      foaf_name: Yan, Q.
      foaf_surname: Yan
  - foaf_Person:
      foaf_givenName: H.
      foaf_name: Nahari, H.
      foaf_surname: Nahari
  - foaf_Person:
      foaf_givenName: K.
      foaf_name: Wang, K.
      foaf_surname: Wang
  - foaf_Person:
      foaf_givenName: R.
      foaf_name: Ruimy, R.
      foaf_surname: Ruimy
  - foaf_Person:
      foaf_givenName: Y.
      foaf_name: Adiv, Y.
      foaf_surname: Adiv
  - foaf_Person:
      foaf_givenName: M.
      foaf_name: Yannai, M.
      foaf_surname: Yannai
  - foaf_Person:
      foaf_givenName: T. L.
      foaf_name: Abudi, T. L.
      foaf_surname: Abudi
  - foaf_Person:
      foaf_givenName: E.
      foaf_name: Janzen, E.
      foaf_surname: Janzen
  - foaf_Person:
      foaf_givenName: C.
      foaf_name: Spaegele, C.
      foaf_surname: Spaegele
  - foaf_Person:
      foaf_givenName: Charles
      foaf_name: Roques-Carmes, Charles
      foaf_surname: Roques-Carmes
      foaf_workInfoHomepage: http://www.librecat.org/personId=e2e68fc9-6505-11ef-a541-eb4e72cc3e82
  - foaf_Person:
      foaf_givenName: J. H.
      foaf_name: Edgar, J. H.
      foaf_surname: Edgar
  - foaf_Person:
      foaf_givenName: F. H. L.
      foaf_name: Koppens, F. H. L.
      foaf_surname: Koppens
  - foaf_Person:
      foaf_givenName: G. M.
      foaf_name: Vanacore, G. M.
      foaf_surname: Vanacore
  - foaf_Person:
      foaf_givenName: H.
      foaf_name: H. Sheinfux, H.
      foaf_surname: H. Sheinfux
  - foaf_Person:
      foaf_givenName: S.
      foaf_name: Tsesses, S.
      foaf_surname: Tsesses
  - foaf_Person:
      foaf_givenName: I.
      foaf_name: Kaminer, I.
      foaf_surname: Kaminer
  bibo_doi: 10.1038/s41586-026-10209-z
  bibo_issue: '8107'
  bibo_volume: 651
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0028-0836
  - http://id.crossref.org/issn/1476-4687
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Superluminal correlations in ensembles of optical phase singularities@
...