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Claudius Hubig

PhD Student working on numerical methods for nanophysics in the group of Uli Schollwöck at LMU Munich; funded by the Exploring Quantum Matter Graduate School and the Nanosystems Initiative Munich Cluster of Excellence.

Contact Details

Department für Physik
Ludwig-Maximilians-Universität München
Theresienstr. 37
80333 München
arXiv author page · at the Schollwöck Chair · at ExQM

Research Interests

Research is focused on numerical and algorithmic improvements to tensor network methods in condensed matter physics such as the DMRG, time evolution algorithms on MPS and generalisations of these methods to non-one-dimensional networks. Of particular interest is also further interlinking with the numerical linear algebra community as well as the application of DMRG in novel contexts as inner solvers of other methods (such as DMFT or DMET).

Work on a very versatile tensor network toolkit SyTen, capable of handling arbitrary-rank tensors with nonabelian symmetries such as SU(2)-Spin and a high degree of parallelisation was started in early 2015 with C++11. Currently supported are ground-state search with MPS-DMRG (single-site and two-site), various time evolution methods (Krylov, Taylor, TEBD, TDVP) and associated tooling for MPS and MPO generation and arithmetic. Some basic support (DMRG, Krylov time evolution etc.) for binary tree tensor networks and MPS with a local basis optimisation also exists.


  1. arXiv:1710.04847: Ilia Khait, Patrick Azaria, Claudius Hubig, Ulrich Schollwöck, Assa Auerbach: Doped Kondo chain - a heavy Luttinger liquid
  2. Phys. Rev. B, 96 054423 [arXiv]: Anup K. Bera, Bella Lake, Fabian H. L. Essler, Laurens Vanderstraeten, Claudius Hubig, Ulrich Schollwöck, A. T. M. Nazmul Islam, Astrid Schneidewind, Diana L. Quintero-Castro: Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
  3. Phys. Rev. B, 95 035129 [arXiv]: Claudius Hubig, Ian P. McCulloch and Ulrich Schollwöck: Generic construction of efficient matrix product operators
  4. Phys. Rev. B, 96 054303 [arXiv]: Zi Cai, Claudius Hubig and Ulrich Schollwöck: Universal long-time behavior of stochastically driven interacting quantum systems
  5. Phys. Rev. B, 91 155115 [arXiv]: Claudius Hubig, Ian P. McCulloch, Ulrich Schollwöck and F. Alexander Wolf: Strictly single-site DMRG algorithm with subspace expansion



Brief CV

since 10/2013
PhD Student at the Chair of Uli Schollwöck, LMU Munich, Germany. Funded by the ExQM Graduate School and the Nanosystems Initiative Munich.
09/2012 - 07/2013
Read Applied Mathematics (Part III) at Hughes Hall, University of Cambridge, United Kingdom. Graduated with Masters of Advanced Studies in Applied Mathematics.
10/2009 - 07/2012
Read Physics at TU Berlin. Graduated with Bachelor of Science in Physics, title of thesis: Spin Dynamics in Adiabatic Transport through Quantum Dots. Partially funded by Deutschlandstipendium in 2011/2012.
Abitur in Sasbach b. Achern, Germany.
Born in Berlin-Charlottenburg, Germany.