Non-Hermitian Many-Body Localization

2018/11/30 by Ryusuke Hamazaki, Kohei Kawabata, Masahito Ueda · 4 citations
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevlett.123.090603

published as Phys. Rev. Lett. 123, 090603 (2019) · 7 pages, 4 figures (Supplemental material: 16 pages, 8 figures)

arxiv created 2019/06/17 · arxiv updated 2019/09/04

Abstract

Many-body localization is shown to suppress imaginary parts of complex eigenenergies for general non-Hermitian Hamiltonians having time-reversal symmetry. We demonstrate that a real-complex transition, which we conjecture occurs upon many-body localization, profoundly affects the dynamical stability of non-Hermitian interacting systems with asymmetric hopping that respect time-reversal symmetry. Moreover, the real-complex transition is shown to be absent in non-Hermitian many-body systems with gain and/or loss that breaks time-reversal symmetry, even though the many-body localization transition still persists.

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