Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model

• URL: http://arxiv.org/abs/2310.07599v2
• Date: Fri, 12 Apr 2024 02:34:57 GMT
• Title: Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Authors: Chao-Ze Lu, Gaoyong Sun,
• Abstract summary: We study many-body entanglements and spectra of the extended bosonic Hatano-Nelson model in the hard-core limit. We show that the system undergoes a phase transition from a gapless phase to a charge density wave phase accompanied by a $mathcalPT$ transition in the first excited state.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study many-body entanglements and spectra of the extended bosonic Hatano-Nelson model in the hard-core limit. We show that the system undergoes a phase transition from a gapless phase to a charge density wave phase accompanied by a $\mathcal{PT}$ transition in the first excited state. The phase transition is characterized by the crossing of the ground-state biorthogonal order parameter and the sudden change of the first excited-state entanglement entropy. The gapless phase is verified by the logarithmic scaling of the ground-state entanglement entropy with the central charge $c=1$. Furthermore, we show that all energy spectral clusters would form ellipses in strong nearest-neighbor interactions, for which we establish a universal scaling law. The lengths of the major and minor axes are shown to obey power laws with respect to the nearest-neighbor interaction. The exact expressions are derived for the numbers of energy levels on the outermost elliptic ring of each clusters.

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