Dr. Axel U. J. Lode


Albert-Ludwigs-Universität Freiburg

Hermann-Herder-Strasse 3
79104 Freiburg,


CV as pdf

Publications on arxiv.org



email: auj[ DOT ]lode[ AT ]gmail[ DOT ]com
Axel U. J. Lode


Research interests:


Development and Applications of the MCTDH-X package

MCTDH-X is a modern implementation of the MultiConfigurational Time-Dependent Hartree method for indistinguishable particles X . It is a program to solve the time-dependent many-body Schrödinger equation numerically for Hamiltonians with generally time-dependent or time-independent one- and/or two-body potentials for bosons or fermions. A graphical user interface facilitates the usage of the MCTDH-X package. For further reading and download, please click here.

Making of the X.


Study of Interacting Ultracold Many-Body Systems

I use MCTDH-X to study bosonic and fermionic systems' properties in the crossover from weak to strong interactions as well as with and without angular momentum. The MCTDH-X idea can be adopted also for the case of optical lattices, i.e., Hubbard Hamiltonians. Contrary to other methods in the field, large 2D and 3D lattice systems can be treated on an accurate beyond-mean-field many-body level. I'm also investigating what happens when many-body systems are coupled to photons in a cavity.


Tunneling Dynamics in Open Ultracold Many-Body Systems

One of my research interests is the tunneling process in systems of interacting indistinguishable particles which are not completely trapped, i.e., systems in which there is no/less than the particle number of bound states. So far it was found for bosons that the initial coherence will be destroyed throughout the dynamics, that the decay times are determined by the interactions, the particle number, and the potential threshold. The mechanism of the loss of coherence is driven by simultaneously happening single-particle processes. The pace of these processes depends on the chemical potentials of subsystems made of a different number of particles. In all the systems several natural orbitals are needed to qualitatively describe the dynamics. The time-dependent Gross-Pitaevskii approximation fails to cover the dynamics qualitatively and quantitatively. The devised model consideration was recently shown to also apply for fermionic particles with Coulomb interactions.


New Analysis Tools and Measures for Quantum Many-Body Systems and their Dynamics

One very general problem about quantum many-body physics is that even knowing the full solution to a problem might sometimes not be enough: The solution might be so complicated that one needs an appropriate tool to grasp the useful information contained in this solution. I try to tackle this question by developing new tools and measures to analyze and classify the plethora of phenomena in quantum many-body dynamics. Recently implemented and tested measures for quantum dynamics include several genuine many-body entropies, single-shot simulations, and high-order correlation functions.


Useful Software


Talks / Workshops / Conferences

  • Data Driven Modelling and Optimization, Warsaw, 2008
  • Shared and Distributed Memory Parallel Programming, HLRS Stuttgart, Germany, 2009
  • Parallel Computing, Heidelberg, Germany, 2010
  • Quantum Hybrid Systems, Heidelberg, Germany, 2010
  • Minerva Winter School on Light-Matter Interaction, Haifa, Israel, 2010
  • 7th VI-HPS Tuning Workshop, HLRS Stuttgart, Germany, 2011
  • Quantum Science and Technologies, Rovereto, Italy, 2011
  • Finite-Temperature Non-Equilibrium Superfluid Systems, Heidelberg, Germany, 2011
  • CQD Colloquium Pretalk, Heidelberg, Germany, 2012
  • Talk at the Technion, Haifa, Israel, 2012
  • Talk at the Quantum Technologies Conference III, Warsaw, Poland, 2013
  • CQD Colloquium Pretalk, Heidelberg, Germany, 2013
  • Talk in the Condensed Matter Theory Group, Basel, 2013
  • Talk at the 16th HLRS Review workshop, Stuttgart, Germany, 2013
  • Talk in the Quantum Optics and Statistics Group, Freiburg, Germany, 2013
  • Lecture "A Laymans Guide to MCTDHB" at CEPOF, São Carlos, São Paulo, Brazil, lecture notes, 2014
  • Talk at IFSC, USP, São Carlos, São Paulo, Brazil, 2014
  • Talk at IFUSP, USP, São Paulo, São Paulo, Brazil, 2014
  • Talk at IFSC, USP, São Carlos, São Paulo, Brazil, 2015
  • Talk at Q-Nano Group, IFSC USP, São Paulo, São Paulo, Brazil, 2015
  • Talk at the QSIT meeting in Arosa, Switzerland, 2015
  • Talk at the Computational Many-Body physics in the era of artificial gauge fields workshop, Munich, Germany, 2015
  • Talk at the ETH Zürich, Switzerland, 2015
  • Talk in the Quantum Optics and Statistics Group, Freiburg, Germany, 2015
  • Talk at the FU Berlin, Berlin, Germany, 2015
  • Talk at the Many-body Physics in Synthetic Quantum Systems conference, Stellenbosch, South Africa, 2016
  • Talk in the Quantum Optics and Statistics Group, Freiburg, Germany, 2016
  • Talk at the Ultrafast X-ray Science Laboratory, LBNL, Berkeley, USA 2016
  • Talk at the Presidency University, Kolkata, India, 2017
  • Talk at the CQED theory group, University of Innsbruck, Austria, 2017
  • Talk at the Atominstitut, Technische Universität Wien, Austria, 2017



  • Interanational Graduiertenkolleg 710 Complex processes: Modeling, Simulation and Optimization: PhD Scholarship, 2009
  • Sophie-Bernthsen Award of the Ruprecht-Karls-Universität Heidelberg, 2011
  • Minerva Short Term Research Grant, 2012
  • Two RISE students from Berkeley, USA and London, UK
  • Springer Theses award, 2014
  • Grant for computational resources at the HLRS, Stuttgart
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