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- W4384263431 abstract "We show that constraints imposed by strong Hilbert space fragmentation (HSF) along with the presence of certain global symmetries can provide a sufficient condition for the reality of eigenspectra of non-Hermitian quantum systems; such a reality cannot be guaranteed by global symmetries alone. We demonstrate this insight for an interacting finite fermionic Nelson-Hatano chain. We show analytically that strong HSF and real spectrum are both consequences of the same dynamical constraints in the limit of large interaction, provided the system has sufficient global symmetries. The spectrum stays real for interactions above a finite critical value, where the system encounters a many-body exceptional point. We provide a method to detect this exceptional point using a local equal-time correlation function." @default.
- W4384263431 created "2023-07-14" @default.
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- W4384263431 date "2023-07-11" @default.
- W4384263431 modified "2023-10-17" @default.
- W4384263431 title "Hilbert space fragmentation imposed real spectrum of a non-Hermitian system" @default.
- W4384263431 doi "https://doi.org/10.48550/arxiv.2307.05679" @default.
- W4384263431 hasPublicationYear "2023" @default.
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