Non-Abelian symmetries in thermal tensor network states

ORAL

Abstract

The implementation of non-Abelian symmetries in the tensor networks greatly improves efficiency and thus also precision of quantum many-body simulations in quasi-1D systems. Here, in particular, we discuss our general implementation of the SU(2) spin together with U(1) charge symmetry based on the QSpace [1] tensor library in the recently developed thermal tensor network simulations including the series expansion thermal tensor network (SETTN) [2], and exponential thermal renormalization group (XTRG) [3]. We will also show benchmarks of the fermionic Hubbard model on both square and triangular lattice.

[1] Annals of Physics 327 (2012) 2972
[2] Phys. Rev. B 95, 161104 (2017)
[3] Phys. Rev. X 8, 031082 (2018)

*This work is supported by the German Research Foundation, DFG WE4819/3-1.

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Presenters

  • Bin-Bin Chen

    • Ludwig Maximilians University, Munich, Germany
    • Ludwig Maximillians University, Munich, Germany
    • Beihang University

Authors

  • Bin-Bin Chen

    • Ludwig Maximilians University, Munich, Germany
    • Ludwig Maximillians University, Munich, Germany
    • Beihang University

  • Wei Li

    • Beihang University, Beijing, China
    • Beihang University

  • Andreas Weichselbaum

    • Brookhaven National Laboratory
    • Brookhaven National Laboratory, New York, USA
    • Brookhaven National Lab
    • Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, NY