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arXiv · 1811.11319

Non-Hermitian Many-Body Localization

Ryusuke Hamazaki·Kohei Kawabata·Masahito Ueda
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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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Ryusuke Hamazaki, Kohei Kawabata, Masahito Ueda. 2019-06-17. Non-Hermitian Many-Body Localization. https://doi.org/10.1103/physrevlett.123.090603

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