Non-Hermitian Bose-Hubbard-like quantum models

• URL: http://arxiv.org/abs/2512.07250v1
• Date: Mon, 08 Dec 2025 07:46:44 GMT
• Title: Non-Hermitian Bose-Hubbard-like quantum models
• Abstract summary: We choose a subclass with the structure resembling the benchmark'' realistic Bose-Hubbard model.<n>We demonstrate that this choice can be declared user-friendly in the sense that the underlying singular values can be specified via a Hermitized'' Schrdinger-like equation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Among all of the non-Hermitian large-tridiagonal-matrix quantum Hamiltonians we choose a subclass with the structure resembling the ``benchmark'' realistic Bose-Hubbard model. We demonstrate that this choice can be declared user-friendly in the sense that the underlying singular values can be specified via a ``Hermitized'' Schrödinger-like equation. In particular, the related ``Hermitized'' Green's functions is shown given the two alternative compact and numerically efficient matrix continued fraction forms.

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