Homepage of Christiaan J. F. van de Ven

I am a mathematical physicist interested in operator algebras and their applications to statistical mechanics. Moreover, quantum information and its various applications also pique my interest.

I am currently a postdoc at the University of Tübingen in the group of Mathematical Physics.

In December 2021 I obtained my PhD in Mathematics cum laude at the University of Trento under the supervision of Prof. Valter Moretti. To this end I was awarded a Marie Skłodowska-Curie PhD Fellowship part of the European project INdAM-DP-Cofund-2015 ‘INdAM Doctoral Programme in Mathematics and/or Application Cofunded by Marie Skłodowska-Curie Actions’ .

After obtaining my PhD I have worked as an Alexander von Humboldt postdoctoral fellow in the Mathematical Physics group of Prof. Stefan Waldmann.

Research interests


Mathematics
• Functional analysis  
• Operator algebras  
• (Strict / C*-algebraic) deformation quantization  
• Measure theory  
Mathematical and theoretical physics
• Quantum and classical many-body particle systems,  
• Large deviations, entropy, quantum information  
• Spontaneous symmetry breaking, phase transitions, equilibrium states, Gibbs measures  
• Asymptotic emergence, classical limit, thermodynamic limit
 

Publications

  1. Gibbs states and their classical limit
    - Reviews in Mathematical Physics Vol 36, Iss 05 (2024)

  2. Strict deformation quantization and local spin interactions
    (with N. Drago) - Communication in Mathematical Physics Vol 405, 14 (2024)

  3. Emergent phenomena in Nature: a paradox with Theory?
    - Foundations of Physics Vol 53, 5 (2023)

  4. DLR-KMS correspondence on lattice spin systems
    (with N. Drago) - Letters in Mathematical Physics Vol 113, 88 (2023)

  5. The classical limit and spontaneous symmetry breaking in algebraic quantum theory
    - Expositiones Mathematicae Vol 40, Iss. 3 (2022)

  6. The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as an emergent phenomenon
    (with V. Moretti) - International Journal of Geometric Methods Vol. 19, No. 01, 2250003 (2021)

  7. Injective tensor products in strict deformation quantization
    (with S. Murro) - Mathematical Physics, Analysis and Geometry Vol. 25, No. 2 (2022)

  8. The classical limit of mean-field quantum spin systems
    - Journal of Mathematical Physics Vol. 61, 121901 (2020)

  9. Bulk-boundary asymptotic equivalence of two strict deformation quantizations
    (with V. Moretti)- Letters in Mathematical Physics Vol. 110, Iss. 11 (2020)

  10. Strict deformation quantization of the state space of Mk(C) with applications to the Curie–Weiss model
    (with K. Landsman and V. Moretti) - Reviews in Mathematical Physics Vol. 32, No. 10, 2050031 (2020)

  11. Quantum spin systems versus Schroedinger operators: A case study in spontaneous symmetry breaking
    (with G. Groenenboom, R. Reuvers and K. Landsman) - SciPost Physics Vol. 8, Iss. 2 (2020)

Preprints

  1. Classical and quantum KMS states on spin lattice systems
    (with N. Drago and L. Pettinari)

  2. Classical dynamics of infinite particle systems in an operator algebraic framework
    (with T. van Nuland)

Grants

Selected talks, conferences and schools

Contact Information

Address:
Fachbereich Mathematik
AB Mathematische Physik
Auf der Morgenstelle 10
72076 Tübingen, Germany

Building C, Room C4 A45

Email:
christiaan.van-de-ven[@]uni-tuebingen.de
Phone:
+49 931 31-80173