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.
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).
The 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 created in 2015/2016 with C++11. Currently supported are ground-state search with MPS-DMRG (single-site and two-site), various time evolution methods on (Krylov, TEBD, TDVP) and associated tooling for MPS and MPO generation and arithmetic. Some basic support (DMRG, Krylov time evolution etc.) for binary tree tensor network states also exists.
- Phys. Rev. B, 95 35129 [arXiv]: Claudius Hubig, Ian P. McCulloch and Ulrich Schollwöck: Generic construction of efficient matrix product operators
- arXiv:1609.08518: Zi Cai, Claudius Hubig and Ulrich Schollwöck: Universal long-time behavior of stochastically driven interacting quantum systems (submitted to PRX)
- 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
- 01/2017: Theory Winter School, MagLab, Tallahassee: Tutorial & Hands-On Session on DMRG and DMRG+DMFT
- 03/2016: DPG Frühjahrstagung, Regensburg: DMRG on Binary Tree Tensor Networks
- 01/2016: Fritz Haber Institute, Berlin: Symmetries in Tensor Networks and Subspace Expansion with DMRG
- 10/2016: Munich Quantum Symposium: A Generic Algorithm for the Construction of Efficient Matrix Product Operators
- 06/2016: International Summer School on Computational Quantum Materials, Sherbrooke: Generic Algorithm for the Construction of Efficient Matrix Product Operators
- 02/2016: Entanglement in Strongly Correlated Systems, Benasque: DMRG on Binary Tree Tensor Networks
- 11/2015: WEH-Workshop Isolated Quantum Many-Body Systems out of Equilibrium, Bad Honnef: Spin Excitations in a Staggered Magnetic Field
- 02/2015: Advanced Computational Methods for Strongly Correlated Quantum Systems, Würzburg: A Strictly Single-Site DMRG Algorithm with Subspace Expansion
- 09/2014: Munich Quantum Day: Algorithmic Advancements in DMRG
- 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.