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Titlebook: Quantum Impurity Problems in the Framework of Natural Orbitals; A Comprehensive Stud Maxime Debertolis Book 2024 The Editor(s) (if applicab

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發(fā)表于 2025-3-21 16:30:36 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Quantum Impurity Problems in the Framework of Natural Orbitals
副標(biāo)題A Comprehensive Stud
編輯Maxime Debertolis
視頻videohttp://file.papertrans.cn/782/781231/781231.mp4
概述Nominated as an outstanding PhD thesis by the University of Grenoble.Presents an exhaustive study of the correlation entanglement of quantum impurity problems.Exploits the properties of entanglement t
叢書(shū)名稱Springer Theses
圖書(shū)封面Titlebook: Quantum Impurity Problems in the Framework of Natural Orbitals; A Comprehensive Stud Maxime Debertolis Book 2024 The Editor(s) (if applicab
描述.This book presents a complete study of natural orbitals in quantum impurity problems, revealing a certain simplicity in these interacting many-body problems. These systems consist of a few localized degrees of freedom that undergo strong interactions and hybridize with a larger system of free particles; they are central in the study of strongly correlated systems.?..In a first step, the standard non-perturbative numerical renormalization group method is employed to demonstrate the hierarchical structure of correlations unveiled by natural orbitals. This simplification brought new insights for simulating quantum impurity problems, and a new algorithm is developed to generate an optimized subset of natural orbitals independently of existing methods, going beyond their usual limitations. This algorithm is presented in detail in the book, and a careful benchmark on known results is carried out to guarantee the validity of the method. It is then used to study spatial entanglement structures under various conditions that were not accessible with previous methods, such as representing the electron bath by a realistic 2D square lattice or taking account of static disorder in the metallic
出版日期Book 2024
關(guān)鍵詞quantum impurities; natural orbitals; spatial kondo correlations; many particle quantum systems; Random
版次1
doihttps://doi.org/10.1007/978-3-031-47233-6
isbn_softcover978-3-031-47235-0
isbn_ebook978-3-031-47233-6Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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RGNO Study of Screening Clouds in Disordered EnvironmentsIn chapters 3 and 4, natural orbitals of quantum impurity problems (both IRLM and SIAM) were investigated. They proved to efficiently describe the ground state of these systems in all regimes, provided that parameters are not tuned too close to a phase transition.
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Springer Theseshttp://image.papertrans.cn/q/image/781231.jpg
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https://doi.org/10.1007/978-3-031-47233-6quantum impurities; natural orbitals; spatial kondo correlations; many particle quantum systems; Random
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發(fā)表于 2025-3-23 03:46:39 | 只看該作者
IRLM and Kondo Correlationsginally introduced to describe the situation. The IRLM, a simpler variant that reports the same low energy properties that are relevant in these models, was also introduced. In this chapter, general equilibrium properties of this model are discussed without and with interactions, and problems we will focus on in the following are introduced.
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發(fā)表于 2025-3-23 07:48:41 | 只看該作者
Random Matrix Impurity Modelnt may not be crucial, and that underlying mechanisms could be qualitatively explained by a simpler model, into which the bath part is defined randomly. Numerical and analytical results are both presented in this chapter, and connections with the microscopic model presented in the previous chapter appear through the distribution function ..
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