03801nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050002000172072001600192072002300208072001500231100008800246245014000334250001800474264006900492300004300561336002600604337002600630338003600656347002400692490007200716505022300788520175201011650002802763650003502791650003302826650002802859650003302887650004902920710003402969773002603003776003603029776003603065776003603101830007903137856004603216912001403262912001403276999001703290978-3-031-47233-6DE-He21320251030110910.0cr nn 008mamaa240103s2024    sz |    s    |||| 0|eng d  a97830314723369978-3-031-47233-67 a10.1007/978-3-031-47233-62doi 4aQC173.96-174.52 7aPHQ2bicssc 7aSCI0570002bisacsh 7aPHQ2thema1 aDebertolis, Maxime.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut96900910aQuantum Impurity Problems in the Framework of Natural Orbitalsh[electronic resource] :bA Comprehensive Study /cby Maxime Debertolis.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXV, 165 p. 48 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Theses, Recognizing Outstanding Ph.D. Research,x2190-50610 aThe Quantum Impurity Problem -- IRLM and Kondo Correlations -- Few-body Nature of Kondo Correlated Ground States -- Recursive generation of Natural Orbitals -- RGNO Study of Screening Clouds in Disordered Environments.  aThis 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 spatialentanglement 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 host. In the last chapter, the non-interacting problem in the presence of disorder is studied through random matrix theory, reproducing some of the results presented in the previous chapters. The main original result of this chapter lies in the analytical calculation of the joint distribution of one-particle orbitals energies and amplitudes of the impurity, which makes it possible to calculate any disordered averaged local correlation functions. Starting from this result, calculations in the large-N limit are compared with numerical simulations. 0aQuantum physics.966608 0aElectronicsxMaterials.967189 0aQuantum entanglement.96901014aQuantum Physics.96660824aElectronic Materials.96719124aQuantum Correlation and Entanglement.9690112 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303147232908iPrinted edition:z978303147234308iPrinted edition:z9783031472350 0aSpringer Theses, Recognizing Outstanding Ph.D. Research,x2190-506196637040uhttps://doi.org/10.1007/978-3-031-47233-6  aZDB-2-PHA  aZDB-2-SXP  c57032d57032