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Partial Reversibility and Counterdiabatic Driving in Nearly Integrable Systems

arXiv Quantum Physics
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⚡ Quantum Brief
A February 2026 study by Banerjee, Khamnei, Polkovnikov, and Morawetz examines reversibility in systems between ideal thermodynamic and integrable limits, where phase space mixing complicates traditional understanding of entropy and action conservation. The research quantifies how reversible processes remain partially achievable in "nearly integrable" systems—those with broken integrability—challenging assumptions about irreversibility in mixed-phase-space regimes. The team proposes approximate counterdiabatic driving as a method to mitigate dissipative losses when rapidly driving these systems, offering a practical tool to enhance control in quantum and classical dynamical processes. Findings suggest the observed phenomena extend to quantum many-body systems with high degeneracy, even under integrability-breaking perturbations, bridging gaps between statistical mechanics and quantum chaos. The work unifies concepts from thermodynamics, chaotic dynamics, and quantum physics, providing a framework to optimize energy-efficient protocols in complex, non-idealized systems.
Partial Reversibility and Counterdiabatic Driving in Nearly Integrable Systems

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Quantum Physics arXiv:2602.22317 (quant-ph) [Submitted on 25 Feb 2026] Title:Partial Reversibility and Counterdiabatic Driving in Nearly Integrable Systems Authors:Rohan Banerjee, Shahyad Khamnei, Anatoli Polkovnikov, Stewart Morawetz View a PDF of the paper titled Partial Reversibility and Counterdiabatic Driving in Nearly Integrable Systems, by Rohan Banerjee and 3 other authors View PDF HTML (experimental) Abstract:Adiabatic (or reversible) processes are the key concept unifying our understanding of thermodynamics and dynamical systems. Reversibility in the thermodynamic sense is understood as entropy-preserving processes, such as in the idealized Carnot engine, whereas in integrable dynamical systems it is understood as the conservation of the action variables. Between these two idealized limits, however, where the phase space can become mixed, things are much less clear. In this work, we first determine the extent to which reversible processes are even possible in this regime. We then explore how the dissipative losses resulting from rapidly driving these kinds of systems can be fought by approximate counterdiabatic driving. Finally, we argue that much of the phenomenology should be the same for quantum many-body systems with large degeneracy in the presence of integrability breaking perturbations. Comments: Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Chaotic Dynamics (nlin.CD) Cite as: arXiv:2602.22317 [quant-ph] (or arXiv:2602.22317v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.22317 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Rohan Banerjee [view email] [v1] Wed, 25 Feb 2026 19:00:02 UTC (241 KB) Full-text links: Access Paper: View a PDF of the paper titled Partial Reversibility and Counterdiabatic Driving in Nearly Integrable Systems, by Rohan Banerjee and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 Change to browse by: cond-mat cond-mat.stat-mech nlin nlin.CD 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?)

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Source: arXiv Quantum Physics