Publications

Publications and preprints

1. C. Jones, P. Naaijkens, D. Penneys, D. Wallick: Local topological order and boundary algebras
   Preprint (2023) arXiv
2. 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
3. K. Kato, P. Naaijkens: An entropic invariant for 2D gapped quantum phases
   J. Phys. A: Math. Theor. 53:085302 (2020) publisher arXiv
4. 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
5. 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
6. 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
7. L. Fiedler, P. Naaijkens, T.J. Osborne: Jones index, secret sharing and total quantum dimension
   New J. Phys. 19:023039 (2017) publisher arXiv
8. 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
9. 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
10. 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
11. P. Naaijkens: Kosaki-Longo index and classification of charges in 2D quantum spin models
    J. Math. Phys. 54:081901-1–17 (2013) publisher arXiv
12. P. Naaijkens: Haag duality and the distal split property for cones in the toric code
    Lett. Math. Phys. 101:341–354 (2012) publisher arXiv
13. P. Naaijkens: Localized endomorphisms in Kitaev's toric code on the plane
    Rev. Math. Phys. 23:347–373 (2011) publisher arXiv
14. P. Naaijkens: On the extension of stringlike localised sectors in 2+1 dimensions
    Comm. Math. Phys. 303:385–420 (2011) publisher arXiv
15. P. Naaijkens: Topologische kwantumcomputers: rekenen met vlechten
    Nieuw Arch. Wiskd. 11:187–193 (sept. 2010) publisher
16. 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

Theses

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)