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020 _a9783031472336
_9978-3-031-47233-6
024 7 _a10.1007/978-3-031-47233-6
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
100 1 _aDebertolis, Maxime.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_969009
245 1 0 _aQuantum Impurity Problems in the Framework of Natural Orbitals
_h[electronic resource] :
_bA Comprehensive Study /
_cby Maxime Debertolis.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXV, 165 p. 48 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5061
505 0 _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.
520 _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.
650 0 _aQuantum physics.
_966608
650 0 _aElectronics
_xMaterials.
_967189
650 0 _aQuantum entanglement.
_969010
650 1 4 _aQuantum Physics.
_966608
650 2 4 _aElectronic Materials.
_967191
650 2 4 _aQuantum Correlation and Entanglement.
_969011
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031472329
776 0 8 _iPrinted edition:
_z9783031472343
776 0 8 _iPrinted edition:
_z9783031472350
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5061
_966370
856 4 0 _uhttps://doi.org/10.1007/978-3-031-47233-6
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c57032
_d57032