⟨L|OO⟩
Lennart Dabelow
Lecturer in Applied Mathematics
email:

Research

It is a fascinating empirical fact that macroscopic systems often exhibit surprisingly stable and regular behavior despite the vastly complicated dynamics and interactions of their microscopic constituents. That is to say, it is usually sufficient to know a few macroscopic parameters of a large system to faithfully reproduce a certain behavior or experiment, even though every repetition will unfold very differently on the microscopic scale.
A central goal of my research is to understand this emergence of macroscopic regularity from microscopic complexity: Starting from well-known and experimentally established laws for the microscopic degrees of freedom, I aim at deriving effective descriptions for the macroscopically observable behavior of systems with a large number of constituents.
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Quantum many-body systems away from equilibrium
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Stochastic thermodynamics and active matter
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Statistical physics of and with machine-learning models

Publications

Preprints

  • LD and P. Reimann,
    Random-matrix approach to time-dependent forcing in many-body quantum systems,
  • LD and M. Ueda,
    Symbolic equation solving via reinforcement learning,
  • LD and R. Eichhorn,
    Thermodynamic nature of irreversibility in active matter,

Peer-reviewed research articles

  1. LD and P. Reimann,
    Stalled response near thermal equilibrium in periodically driven systems,
  2. LD and M. Ueda,
    Three learning stages and accuracy-efficiency tradeoff of Restricted Boltzmann Machines,
  3. LD, P. Vorndamme, and P. Reimann,
    Thermalization of locally perturbed many-body quantum systems,
  4. P. Reimann and LD,
    Refining Deutsch's approach to thermalization,
  5. LD and P. Reimann,
    Typical relaxation of perturbed quantum many-body systems,
  6. LD, S. Bo, and R. Eichhorn,
    How irreversible are steady-state trajectories of a trapped active particle?',
  7. LD and R. Eichhorn,
    Irreversibility in active matter: General framework for active Ornstein-Uhlenbeck particles,
  8. LD, P. Vorndamme, and P. Reimann,
    Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure,
  9. LD and P. Reimann,
    Persistent many-body quantum echoes,
  10. LD and P. Reimann,
    Predicting imperfect echo dynamics in many-body quantum systems,
  11. LD and P. Reimann,
    Relaxation theory for perturbed many-body quantum systems versus numerics and experiment,
  12. LD, H. Gies, and B. Knorr,
    Momentum dependence of quantum critical Dirac systems,
  13. LD, S. Bo, and R. Eichhorn,
    Irreversibility in active matter systems: fluctuation theorem and mutual information,
  14. S. Manikandan, LD, R. Eichhorn, and S. Krishnamurthy,
    Efficiency fluctuations in microscopic machines,
  15. P. Reimann and LD,
    Typicality of prethermalization,
  16. A. Argun, J. Soni, LD, S. Bo, G. Pesce, R. Eichhorn, and G. Volpe,
    Experimental realization of a minimal microscopic heat engine,

Dissertation

Teaching

Office hours:
Wed 14:00–15:00 in MB-B26
or by appointment (email me at )
Academic Year 2024/25, Semester A

MTH766P: Programming in Python

→ see course website on QMPlus
Academic Year 2023/24, Semester B

MTH5001: Introduction to Computer Programming

co-taught with Thomas Prellberg
→ see course website on QMPlus
Academic Year 2023/24, Semester A

MTH766P: Programming in Python

→ see course website on QMPlus