English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a hybrid numerical approach to simulate quantum many body problemson two spatial dimensional quantum lattice models via the non-Abelian ab initioversion of the density matrix renormalization group method on state-of-the-arthigh performance computing infrastructures. We demonstrate for the twodimensional spinless fermion model and for the Hubbard model on torus geometrythat altogether several orders of magnitude in computational time can be savedby performing calculations on an optimized basis and by utilizing hybridCPU-multiGPU parallelization. At least an order of magnitude reduction incomputational complexity results from mode optimization, while a further orderof reduction in wall time is achieved by massive parallelization. Our resultsare measured directly in FLOP and seconds. A detailed scaling analysis of theobtained performance as a function of matrix ranks and as a function of systemsize up to $12\times 12$ lattice topology is discussed.

Two dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method