Correlator method for multi-entropy calculation in fermion gaussian systems

ORAL

Abstract

Multi-entropy is a quantum information theoretical quantity proposed to capture multi-partite entanglement in pure states. We focus on the multi-entropy for tripartition, and develop the correlator method, which expresses this multi-entropy in terms of correlation functions, for fermion Gaussian states. The correlator method is applied to numerically evaluate multi-entropy for free fermion systems such as Chern insulators. The calculation provides evidence that for gapped ground states in (2+1)-dimensional topological liquids, the difference between multi-entropy for tripartition and second Rényi entropies is bounded from below by (ctot/4)ln2 where ctot is the central charge of ungappable degrees of freedom.

*S.O. is supported by the European Union's Horizon 2020 research and innovation programme through grant no. 863476 (ERC-CoG SEQUAM).S.O. is also supported by JSPS KAKENHI Grant Number 23KJ1252 and 24K00522.Y.K. is supported by the Brinson Prize Fellowship at Caltech and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.Y.K. is also supported by the INAMORI Frontier Program at Kyushu University and JSPS KAKENHI Grant Number 23K20046.S.R. is supported by a Simons Investigator Grant from the Simons Foundation (Award No. 566116).This work is supported by the Gordon and Betty Moore Foundation through Grant GBMF8685 toward the Princeton theory program.

–

Publication: B. Liu, J. Zhang, S. Ohyama, Y. Kusuki and S. Ryu, Multi wavefunction overlap and multi entropy for topological ground states in (2+1) dimensions, arXiv:2410.08284 [cond-mat.str-el]

Presenters

  • Junjia Zhang

    • Princeton University

Authors

  • Junjia Zhang

    • Princeton University

  • Bowei Liu

    • Princeton University

  • Shuhei Ohyama

    • University of Kyoto

  • Yuya Kusuki

    • Kyushu University

  • Shinsei Ryu

    • Princeton University