Non-Hermitian Many-Body Localization.

@article{Hamazaki2018NonHermitianML,
  title={Non-Hermitian Many-Body Localization.},
  author={Ryusuke Hamazaki and Kohei Kawabata and Masahito Ueda},
  journal={Physical review letters},
  year={2018},
  volume={123 9},
  pages={
          090603
        }
}
Many-body localization is shown to suppress the 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 respects time-reversal symmetry. Moreover, the real-complex transition is shown to be absent in non-Hermitian many-body systems… 
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