Non-Hermitian fractional quantum Hall states in open quantum systems

ORAL

Abstract

We report that open quantum systems with two-body loss host non-Hermitian fractional quantum Hall states (nHFQH) with 1/3 filling when the jump term is negligible[1]. The characterization of nHFQH states is accomplished by observing topological degeneracy and by computing the Chern number for the non-Hermitian Hamiltonian.
We also elucidate that the topology of nHFQH states is maintained even in the presence of the jump term[2].

[1] T. Yoshida, K. Kudo, and Y. Hatsugai, Scientific Reports 9, 16895 (2019).
[2] T. Yoshida, K. Kudo, H. Katsura, and Y. Hatsugai, Phys. Rev. Reserch 2, 033428 (2020).

*This work is supported by JSPS Grant-in-Aid for Scientific Research on Innovative Areas ``Discrete Geometric Analysis for Materials Design": Grants No. JP20H04627 and No. JP20H04630. This work is also supported by JSPS KAKENHI Grants No. JP16K13845, No. JP17H06138, No. JP18K03445, No. JP18H05842, No. JP19K21032, and No. JP19J12317.

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Presenters

  • Tsuneya Yoshida

    • Univ of Tsukuba

Authors

  • Tsuneya Yoshida

    • Univ of Tsukuba

  • Koji Kudo

    • Univ of Tsukuba

  • Hosho Katsura

    • Univ of Tokyo
    • Department of Physics, The University of Tokyo
    • Physics, the University of Tokyo

  • Yasuhiro Hatsugai

    • Univ of Tsukuba