Single-site dissipation stabilizes a superconducting nonequilibrium steady state in a strongly correlated lattice
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Quantum Physics arXiv:2602.00452 (quant-ph) [Submitted on 31 Jan 2026] Title:Single-site dissipation stabilizes a superconducting nonequilibrium steady state in a strongly correlated lattice Authors:X. Z. Zhang View a PDF of the paper titled Single-site dissipation stabilizes a superconducting nonequilibrium steady state in a strongly correlated lattice, by X. Z. Zhang View PDF HTML (experimental) Abstract:Can superconducting order be made a robust attractor of open-system dynamics in strongly correlated lattices? We demonstrate that it can by proposing a minimal dissipation-engineering protocol for the particle--hole symmetric Hubbard model. By applying a rotated quantum jump operator, a locally transformed $\eta$-pair lowering operator, on as little as a single lattice site, we show that the Lindblad evolution autonomously pumps the system from the vacuum into a nonequilibrium steady state (NESS) with macroscopic $\eta$-pair off-diagonal long-range order (ODLRO). Crucially, this local-to-global synchronization contrasts with schemes requiring spatially extensive reservoirs: here, a strictly local dissipative seed suffices to establish coherence across the interacting system. We elucidate the mechanism via local dark-state selection, controlled elimination of off-manifold excursions induced by hopping, and a Liouvillian invariant-subspace structure that yields an attractive fixed point with a finite dissipative gap. Furthermore, we classify the stability of this NESS against static disorder, identifying a broad regime where the superconducting attractor is resilient to Hamiltonian perturbations that leave the effective subspace structure intact, while pinpointing specific perturbations that directly dephase the $\eta$-pseudospin coherence and suppress ODLRO. Our results establish a disorder-tolerant route to stabilizing superconducting order as a non-thermal attractor via minimal local quantum-jump control. Comments: Subjects: Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el) Cite as: arXiv:2602.00452 [quant-ph] (or arXiv:2602.00452v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.00452 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Xizheng Zhang [view email] [v1] Sat, 31 Jan 2026 01:59:32 UTC (968 KB) Full-text links: Access Paper: View a PDF of the paper titled Single-site dissipation stabilizes a superconducting nonequilibrium steady state in a strongly correlated lattice, by X. Z. ZhangView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 Change to browse by: cond-mat cond-mat.str-el References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)