Irradiated magnetotransport in ultra-high mobility 2D electron systems and quantum superposition

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This theoretical study models microwave-induced resistance oscillations in ultra-high mobility 2D electron systems using quantum harmonic oscillator coherent states and quantum superposition, explaining resonant peak shifts.

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This paper presents a theoretical model of microwave-induced resistance oscillations in ultra-high mobility two-dimensional electron systems, using coherent states of a driven quantum harmonic oscillator and embedding them in a microwave-induced electron orbit framework to compute magnetoresistance under illumination. It extends the construction by applying quantum superposition to obtain even and odd coherent states, and uses these to explain a resonant peak shift observed in ultra-high mobility samples. The main caveat explicitly stated is that the work is a theoretical preprint and has not been peer reviewed. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Abstract We report a theoretical model on the microwave-induced resistance oscillations based on the coherent states of the quantum harmonic oscillator. We first obtain an expression for the coherent states of driven-quantum harmonic oscillators. Then, we make use of these new states in the microwave-induced electron orbit model to calculate the magnetoresistance under light. We extend the model applying quantum superposition to obtain even and odd coherent states for these systems. Consequently, we explain the resonant peak shift that appears in these samples when mobility is ultra-high.
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Irradiated magnetotransport in ultra-high mobility 2D electron systems and quantum superposition | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Irradiated magnetotransport in ultra-high mobility 2D electron systems and quantum superposition Jesus Iñarrea This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8940966/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 14 You are reading this latest preprint version Abstract We report a theoretical model on the microwave-induced resistance oscillations based on the coherent states of the quantum harmonic oscillator. We first obtain an expression for the coherent states of driven-quantum harmonic oscillators. Then, we make use of these new states in the microwave-induced electron orbit model to calculate the magnetoresistance under light. We extend the model applying quantum superposition to obtain even and odd coherent states for these systems. Consequently, we explain the resonant peak shift that appears in these samples when mobility is ultra-high. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 24 Apr, 2026 Reviews received at journal 20 Apr, 2026 Reviews received at journal 15 Apr, 2026 Reviewers agreed at journal 07 Apr, 2026 Reviewers agreed at journal 07 Apr, 2026 Reviews received at journal 18 Mar, 2026 Reviews received at journal 17 Mar, 2026 Reviewers agreed at journal 10 Mar, 2026 Reviewers agreed at journal 06 Mar, 2026 Reviewers invited by journal 06 Mar, 2026 Editor invited by journal 05 Mar, 2026 Editor assigned by journal 03 Mar, 2026 Submission checks completed at journal 03 Mar, 2026 First submitted to journal 03 Mar, 2026 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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