Non-Hermitian Bose-Hubbard-like quantum models
Quantum Physics
2025-12-09 v1 Numerical Analysis
Numerical Analysis
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'' Schr\"{o}dinger-like equation. In particular, the related ``Hermitized'' Green's functions is shown given the two alternative compact and numerically efficient matrix continued fraction forms.
Keywords
Cite
@article{arxiv.2512.07250,
title = {Non-Hermitian Bose-Hubbard-like quantum models},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:2512.07250},
year = {2025}
}
Comments
talk presented to the XXIX Int. Conf. on Integrable Systems and Quantum Symmetries (Prague, CTU, July 7 - 11, 2025)