Nikolai Leopold

Nikolai Leopold

Postdoc

Institute of Science and Technology Austria
Am Campus 1
3400 Klosterneuburg
Austria

Email: nikolai.leopold@ist.ac.at
Office: I21.O3.103 (Lab Building West, 3rd floor)


Since November 2017 I am a postdoc in the group of Robert Seiringer at the Institute of Science and Technology Austria.
My field of research is mathematical physics. In particular, I am working on the derivation of effective evolution equations from many-body quantum mechanics. While my main focus is on quantum systems of bosons and fermions which couple to quantized radiation fields, I also study the evolution of Bose-Einstein condensates in the Gross-Pitaevskii regime.
Moreover, I am interested in the theoretical description of arrival time measurements in quantum mechanics.

Publications

  1. The Landau-Pekar equations: Adiabatic theorem and accuracy
    N. Leopold, S. Rademacher, B. Schlein and R. Seiringer,
    (Preprint 2019) arXiv:1904.12532

  2. Theory of the Rotating Polaron: Spectrum and Self-Localization
    E. Yakaboylu, B. Midya, A. Deuchert, N. Leopold and M. Lemeshko,
    Physical Review B 98, 224506 (2018),
    DOI: 10.1103/PhysRevB.98.224506, arXiv:1809.01204

  3. Mean-field Dynamics for the Nelson Model with Fermions
    N. Leopold and S. Petrat,
    Ann. Henri Poincaré (2019)
    DOI: 10.1007/s00023-019-00828-w, arXiv:1807.06781

  4. Mean-field limits of particles in interaction with quantized radiation fields
    N. Leopold and P. Pickl,
    Springer Proceedings in Mathematics & Statistics: Macroscopic Limits of Quantum Systems (2018),
    DOI: 10.1007/978-3-030-01602-9, arXiv:1806.10843

  5. Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian
    N. Leopold and P. Pickl,
    (Preprint 2016) arXiv:1609.01545

  6. Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions
    M. Jeblick, N. Leopold and P. Pickl
    (Preprint 2016) arXiv:1608.05326 [math-ph]

Contributions to Oberwolfach Reports

  1. Effective dynamics for the Nelson model with many fermions
    N. Leopold,
    contribution to the Mini-Workshop report "Lorentz Gas Dynamics: particle systems and scaling limits" (2019),
    DOI: 10.4171/OWR/2019/10

  2. Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian
    N. Leopold,
    contribution to the Workshop report "Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications" (2018),
    DOI: 10.4171/OWR/2017/41

Theses

Selected Slides