Publications and preprints

  1. P. Naaijkens, Y. Ogata: The split and approximate split property in 2D systems: stability and absence of superselection sectors
    Commun. Math. Phys 932:921-950 (2022) publisher arXiv
  2. K. Kato, P. Naaijkens: An entropic invariant for 2D gapped quantum phases
    J. Phys. A: Math. Theor. 53:085302 (2020) publisher arXiv
  3. M. Cha, P. Naaijkens, B. Nachtergaele: On the stability of charges in infinite quantum spin systems
    Commun. Math. Phys. 373:219–264 (2020) publisher arXiv
  4. P. Naaijkens: Subfactors and quantum information theory
    In: F. Bonetto, D. Borthwick, E. Harrell, M. Loss: Mathematical Problems in Quantum Physics, Contemporary Math. 717:257--280. (2018) publisher arXiv
  5. M. Cha, P. Naaijkens, B. Nachtergaele: The complete set of infinite volume ground states for Kitaev's abelian quantum double models
    Commun. Math. Phys. 357:125–157 (2018) publisher arXiv
  6. L. Fiedler, P. Naaijkens, T.J. Osborne: Jones index, secret sharing and total quantum dimension
    New J. Phys. 19:023039 (2017) publisher arXiv
  7. S. Bachmann, W. Dybalski, P. Naaijkens: Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems
    Ann. Henri Poincaré 17:1737–1791 (2016) publisher arXiv
  8. L. Chang, M. Cheng, S.X. Cui, Y. Hu, W. Jin, R. Movassagh, P. Naaijkens, Z. Wang, A. Young: On Enriching the Levin-Wen model with Symmetry
    J. Phys. A: Math. Theor. 48:12FT01 (2015) publisher arXiv
  9. L. Fiedler, P. Naaijkens: Haag duality for Kitaev's quantum double model for abelian groups
    Rev. Math. Phys. 27:1550021:1–43 (2015) publisher arXiv
  10. P. Naaijkens: Kosaki-Longo index and classification of charges in 2D quantum spin models
    J. Math. Phys. 54:081901-1–17 (2013) publisher arXiv
  11. P. Naaijkens: Haag duality and the distal split property for cones in the toric code
    Lett. Math. Phys. 101:341–354 (2012) publisher arXiv
  12. P. Naaijkens: Localized endomorphisms in Kitaev's toric code on the plane
    Rev. Math. Phys. 23:347–373 (2011) publisher arXiv
  13. P. Naaijkens: On the extension of stringlike localised sectors in 2+1 dimensions
    Comm. Math. Phys. 303:385–420 (2011) publisher arXiv
  14. P. Naaijkens: Topologische kwantumcomputers: rekenen met vlechten
    Nieuw Arch. Wiskd. 11:187–193 (sept. 2010) publisher
  15. L. Berdichevsky, P. Naaijkens: Four-point functions of different-weight operators in the AdS/CFT correspondence
    JHEP 0801:071 (2008) publisher arXiv

Books and book chapters

  1. P. Naaijkens, Quantum Spin Systems on Infinite Lattices: A Concise Introduction
    Lecture Notes in Physics 933, Springer International Publishing (2017) publisher
  2. P. Naaijkens, Kitaev's quantum double model from a local quantum physics point of view
    In: R. Brunetti C. Dappiaggi, K. Fredenhagen, J. Yngvason (eds), Advances in Algebraic Quantum Field Theory, pp. 365–395, Springer (2015) publisher arXiv


  1. Anyons in infinite quantum systems: QFT in d=2+1 and the toric code
    PhD Thesis, Radboud University (2012, defended May 15) download
  2. Four-point functions of N=4 SYM4 in the AdS/CFT correspondence
    Master's Thesis, Utrecht University (2007)
  3. Cartesisch gesloten deelcategoriëen van Top
    Bachelor's Thesis, Utrecht University (2004)