Non-Hermitian Bose-Hubbard-like quantum models

Fuente: arXiv
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Autore principale: Znojil, Miloslav
Natura: Preprint
Pubblicazione: 2025
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author Znojil, Miloslav
author_facet Znojil, Miloslav
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07250
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Hermitian Bose-Hubbard-like quantum models
Znojil, Miloslav
Quantum Physics
Numerical Analysis
81Q05, 15A18
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.
title Non-Hermitian Bose-Hubbard-like quantum models
topic Quantum Physics
Numerical Analysis
81Q05, 15A18
url https://arxiv.org/abs/2512.07250