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Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions

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arXiv:2604.19862v1 Announce Type: new Abstract: We demonstrate that combining the positivity of density matrices with steady-state conditions yields a systematic bootstrap method for studying open quantum many-body systems governed by Lindblad master equations on infinite lattices, which exhibit absorbing phase transitions. As a concrete example, we apply this method to the quantum contact process with an absorbing state. We obtain bootstrap bounds on steady-state expectation values, the critica

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Quantum Physics [Submitted on 21 Apr 2026] Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions Minjae Cho, Colin Oscar Nancarrow, Petar Tadić, Yuan Xin We demonstrate that combining the positivity of density matrices with steady-state conditions yields a systematic bootstrap method for studying open quantum many-body systems governed by Lindblad master equations on infinite lattices, which exhibit absorbing phase transitions. As a concrete example, we apply this method to the quantum contact process with an absorbing state. We obtain bootstrap bounds on steady-state expectation values, the critical coupling, certain ratios of expectation values in the nontrivial steady state in the supercritical phase, and the Liouvillian spectral gap in the subcritical phase. Comments: 17 pages Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th) Cite as: arXiv:2604.19862 [quant-ph] (or arXiv:2604.19862v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.19862 Focus to learn more Submission history From: Petar Tadić [view email] [v1] Tue, 21 Apr 2026 18:00:00 UTC (1,420 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev | next > new | recent | 2026-04 Change to browse by: cond-mat cond-mat.stat-mech cond-mat.str-el hep-th References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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