Non-Hermitian Many-Body Localization
Disordered Systems and Neural Networks
2019-09-04 v2 Statistical Mechanics
Quantum Physics
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.
Cite
@article{arxiv.1811.11319,
title = {Non-Hermitian Many-Body Localization},
author = {Ryusuke Hamazaki and Kohei Kawabata and Masahito Ueda},
journal= {arXiv preprint arXiv:1811.11319},
year = {2019}
}
Comments
7 pages, 4 figures (Supplemental material: 16 pages, 8 figures)