Václav Zatloukal's homepage

Research assistant at the

Department of Physics
Faculty of Nuclear Sciences and Physical Engineering
Czech Technical University in Prague
Room No. B120

Research interests:
path integral methods, stochastic processes
Hamiltonian approach to classical and quantum field theory
geometric (Clifford) algebra and calculus
anyons and topological quantum information

Curriculum vitae

Publications:
  1. V. Potoček and V. Zatloukal
    Quantum occupation time
    Phys. Scr. 98, 014003 (2023)

  2. P. Martin-Dussaud, T. Carette, J. Glowacki, V. Zatloukal, and F. Zalamea
    Fact-nets: Towards a Mathematical Framework for Relational Quantum Mechanics
    Found Phys 53, 26 (2023)
    arXiv:2204.00335

  3. V. Zatloukal
    Local time of random walks on graphs
    Phys. Rev. E 104, 044302 (2021)
    arXiv:2012.15399

  4. V. Zatloukal
    Real spinors and real Dirac equation
    Adv. Appl. Clifford Algebras 32, 45 (2022)
    arXiv:1908.04590
    Beamer (40th Winter School Geometry and Physics, Srní, 2020)

  5. C. Rovelli and V. Zatloukal
    Natural discrete differential calculus in physics
    Found. Phys. 49, 693 (2019)
    arXiv:1902.03026

  6. V. Zatloukal
    Local time of Levy random walks: a path integral approach
    Phys. Rev. E 95, 052136 (2017)
    arXiv:1702.02488
    Beamer (Path Integration in Complex Dynamical Systems 2017, Leiden)

  7. V. Zatloukal
    Classical field theories from Hamiltonian constraint: Local symmetries and static gauge fields
    Adv. Appl. Clifford Algebras 28: 48 (2018)
    arXiv:1611.02906
    Beamer (ICCA11, 2017, Ghent)

  8. P. Jizba, J. Korbel and V. Zatloukal
    Tsallis thermostatics as a statistical physics of random chains
    Phys. Rev. E 95, 022103 (2017)
    arXiv:1610.07110

  9. V. Zatloukal
    Hamiltonian constraint formulation of classical field theories
    Adv. Appl. Clifford Algebras 27, 829-851 (2017)
    arXiv:1602.00468
    Beamer (Rethinking Foundations of Physics 2016, Dorfgastein, Austria)
    Poster

  10. P. Jizba and V. Zatloukal
    Local-time representation of path integrals
    Phys. Rev. E 92, 062137 (2015)
    arXiv:1506.00888
    Beamer (SigmaPhi 2014, Rhodos)
    Poster

  11. V. Zatloukal
    Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory
    Int. J. Geom. Methods Mod. Phys. 13, 1650072 (2016)
    arXiv:1504.08344
    Beamer (AGACSE 2015, Barcelona)

  12. V. Zatloukal, L. Lehman, S. Singh, J. K. Pachos, and G. K. Brennen
    Transport properties of anyons in random topological environments
    Phys. Rev. B 90, 134201 (2014)
    arXiv:1207.5000
    Beamer (2015, Berlin)

  13. P. Jizba and V. Zatloukal
    Path-integral approach to the Wigner-Kirkwood expansion
    Phys. Rev. E 89, 012135 (2014)
    arXiv:1309.0206
    Poster

  14. H. Kleinert and V. Zatloukal
    Green function of the double-fractional Fokker-Planck equation: Path integral and stochastic differential equations
    Phys. Rev. E 88, 052106 (2013)
    arXiv:1503.01667
    Beamer (Zimanyi School 2016, Budapest)

  15. L. J. Lehman, V. Zatloukal, J. K. Pachos, G. K. Brennen
    Braiding Interactions in Anyonic Quantum Walks
    Quantum Computers and Computing 12 (1), pp. 51-62 (2012)
    arXiv:1210.3446

  16. L. Lehman, V. Zatloukal, G. K. Brennen, J. K. Pachos, and Z. Wang
    Quantum Walks with Non-Abelian Anyons
    Phys. Rev. Lett. 106, 230404 (2011)
    arXiv:1009.0813


Theses:
  • Doctoral thesis: Applications of Path Integrals in Quantum Theory and Statistical Physics (2016),
    (supervised by Dr. Petr Jizba)

  • Master thesis: Anyons and Their Significance in Quantum Mechanics and Statistical Physics (2011),
    (supervised by Dr. Petr Jizba)

  • Research project: Anyonic Quantum Walks (2010),
    (supervised by Dr. Petr Jizba and Dr. Jiannis Pachos)

  • Bachelor thesis: Applications of Supersymmetric Quantum Mechanics (2009),
    (supervised by Dr. Petr Jizba)

Lecture notes:
  1. Jordan-Schwinger map in the theory of angular momentum,
    Winter School of Mathematical Physics 2020, Janske Lazne, Czechia

  2. Geometric Algebra and Calculus: Unified Language for Mathematics and Physics,
    L'Agape 2018, Mezeyrac, France

Students supervised:
  • Šimon Vedl (Master thesis): The Role of Shape Operator in Gauge Theories (2022)

  • Šimon Vedl (Bachelor thesis): Geometrická algebra v diferenciální geometrii a ve fyzice (2020)