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Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition

arXiv Quantum Physics
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A seven-author team examined how non-Markovian dissipation—where environmental memory persists—affects quantum transport in the Aubry-André-Harper model, a key system for studying localization transitions. The study reveals bath memory plays opposing roles in different phases: it fundamentally alters transport dynamics in the extended phase but only adjusts timescales in the localized phase. In the extended regime, memory reshapes the dynamical generator, creating transport patterns that defy simple time-rescaling explanations, marking a qualitative shift from Markovian behavior. Conversely, in the localized phase, dissipation enables hopping between trapped states, while memory primarily acts as a timescale renormalizer without changing underlying transport mechanisms. The findings position localization as a "filter" for non-Markovian effects, distinguishing between structural changes in extended systems and mere temporal adjustments in localized ones.
Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition

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Quantum Physics arXiv:2605.22966 (quant-ph) [Submitted on 21 May 2026] Title:Phase-dependent role of dissipation across the Aubry-André-Harper transition Authors:Gerardo Suárez, Baptiste Debecker, Francesco Cosco, Francesco Plastina, François Damanet, Nicola Lo Gullo, Francesco Perciavalle View a PDF of the paper titled Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition, by Gerardo Su\'arez and 6 other authors View PDF HTML (experimental) Abstract:We study transport across the Aubry-André-Harper localization transition in the presence of non-Markovian dissipation. For a single particle initially at the center of the chain, we show that bath memory (i.e., finite decay time of bath correlations) plays distinct roles in the two phases. In the extended phase, bath memory qualitatively reshapes the dynamical generator, thereby producing transport patterns that cannot be reduced to a simple rescaling of time. By contrast, in the localized phase, the bath activates motion between localized states and bath memory mainly renormalizes the dynamical timescales. Our results identify localization as a simple filter of non-Markovian effects: memory restructures transport in the extended regime, but survives mainly as a timescale renormalization in the deeply localized regime. Comments: Subjects: Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el) Cite as: arXiv:2605.22966 [quant-ph] (or arXiv:2605.22966v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.22966 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Francesco Perciavalle [view email] [v1] Thu, 21 May 2026 18:52:16 UTC (6,335 KB) Full-text links: Access Paper: View a PDF of the paper titled Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition, by Gerardo Su\'arez and 6 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 Change to browse by: cond-mat cond-mat.quant-gas cond-mat.stat-mech 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?) 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?)

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Source: arXiv Quantum Physics