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Main Author: Barkert, Christian
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.18636321
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author Barkert, Christian
author_facet Barkert, Christian
contents <p>We construct two finite-dimensional Lindbladian models possessing exact two-dimensional invariant manifolds. For both systems, we derive closed-form steady states, concurrence, and complete Liouvillian spectra. In each case, the Liouvillian gap remains constant under coherent perturbation, while the steady state deforms continuously within the invariant manifold. Entanglement decays asymptotically without any spectral closing. These results demonstrate a structural separation between spectral contraction strength and steady-state entanglement geometry in invariant Lindbladian systems.</p> <p> </p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_18636321
institution Zenodo
language
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Spectral–Geometric Separation in Gapped Lindbladian Invariant Manifolds
Barkert, Christian
<p>We construct two finite-dimensional Lindbladian models possessing exact two-dimensional invariant manifolds. For both systems, we derive closed-form steady states, concurrence, and complete Liouvillian spectra. In each case, the Liouvillian gap remains constant under coherent perturbation, while the steady state deforms continuously within the invariant manifold. Entanglement decays asymptotically without any spectral closing. These results demonstrate a structural separation between spectral contraction strength and steady-state entanglement geometry in invariant Lindbladian systems.</p> <p> </p>
title Spectral–Geometric Separation in Gapped Lindbladian Invariant Manifolds
url https://doi.org/10.5281/zenodo.18636321