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Non-Hermitian Bose-Hubbard-like quantum models
Miloslav Znojil·December 8, 2025·DOI: 10.1088/1742-6596/3152/1/012023
Quantum Physicsmath.NA
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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.