Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor

[2603.01707] Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor Skip to main content Search Submit Donate Log in Condensed Matter > Disordered Systems and Neural Networks arXiv:2603.01707 (cond-mat) [Submitted on 2 Mar 2026] Title: Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor Authors: Julien Hébraud , Floriane Arrouas , Bruno Peaudecerf , Juliette Billy , David Guéry-Odelin , Olivier Giraud , Bertrand Georgeot , Gabriel Lemarié , Christian Miniatura View PDF HTML (experimental) Abstract: We study the effect of discrete symmetries on coherent multiple scattering in the quantum kicked rotor. When the initial momentum is set to zero -- as in recent Bose-Einstein condensate experiments -- the effective pseudo-disorder becomes even under momentum inversion. The resulting discrete mirror symmetry of the dynamics profoundly alters spectral correlations: it generates quasi-degenerate Floquet doublets localised at opposite momenta, whose exponentially small splittings produce a hierarchy of exponentially large dynamical timescales. The coherent backscattering and forward-scattering peaks then exhibit a striking non-monotonic evolution and strongly asymmetric contrasts, followed by an exceptionally slow logarithmic relaxation toward a common asymptotic value -- a hallmark of glassy dynamics, here emerging in a fully coherent quantum system. That such archetypal glass-like behaviour arises from a single discrete symmetry constraint reveals an unexpected and deep connection between quantum coherence and slow relaxation phenomena. Comments: 16 pages, 9 figures Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn) ; Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2603.01707 [cond-mat.dis-nn] (or arXiv:2603.01707v1 [cond-mat.dis-nn] for this version) https://doi.org/10.48550/arXiv.2603.01707 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Julien Hébraud et al 2026 New J. Phys. 28 063503 Related DOI : https://doi.org/10.1088/1367-2630/ae714f Focus to learn more DOI(s) linking to related resources Submission history From: Gabriel Lemarié [ view email ] [v1] Mon, 2 Mar 2026 10:31:07 UTC (1,848 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.dis-nn < prev | next > new | recent | 2026-03 Change to browse by: cond-mat cond-mat.quant-gas cond-mat.stat-mech References & Citations SciX 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 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? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) 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? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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