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Open Quantum Systems Decoherence Quantum Simulation

Non-Hermitian Many-Body Localization

arXiv
Authors: Ryusuke Hamazaki, Kohei Kawabata, Masahito Ueda

Year

2018

Paper ID

23072

Status

Preprint

Abstract Read

~2 min

Abstract Words

77

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Many-body localization is shown to suppress imaginary parts of complex eigenenergies for general non-Hermitian Hamiltonians having time-reversal symmetry.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1811.11319 [2] arXiv https://arxiv.org/abs/1811.11319 [3] Publisher https://arxiv.org/abs/1811.11319

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