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Open Quantum Systems Decoherence

Non-Hermitian Bose-Hubbard-like quantum models

arXiv

Authors: Miloslav Znojil

Year

2025

Paper ID

16044

Status

Preprint

Abstract Read

~2 min

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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.

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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.07250 [2] arXiv https://arxiv.org/abs/2512.07250 [3] Publisher https://arxiv.org/abs/2512.07250

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