Universität zu Köln

Maciazek, Tomasz ORCID: 0000-0002-2364-1164, Sawicki, Adam ORCID: 0000-0003-4906-2459, Gross, David, Lopes, Alexandre and Schilling, Christian ORCID: 0000-0001-6781-4111 (2020). Implications of pinned occupation numbers for natural orbital expansions. II: rigorous derivation and extension to non-fermionic systems. New J. Phys., 22 (2). BRISTOL: IOP PUBLISHING LTD. ISSN 1367-2630

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Abstract

We have explained and comprehensively illustrated in Part I (Schilling et al 2019 arXiv:) that the generalized Pauli constraints suggest a natural extension of the concept of active spaces. In the present Part I (Schilling et al 2019 arXiv:)I, we provide rigorous derivations of the theorems involved therein. This will offer in particular deeper insights into the underlying mathematical structure and will explain why the saturation of generalized Pauli constraints implies a specific simplified structure of the corresponding many-fermion quantum state. Moreover, we extend the results of Part I (Schilling et al 2019 arXiv:) to non-fermionic multipartite quantum systems, revealing that extremal single-body information has always strong implications for the multipartite quantum state. In that sense, our work also confirms that pinned quantum systems define new physical entities and the presence of pinnings reflect the existence of (possibly hidden) ground state symmetries.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Maciazek, Tomasz UNSPECIFIED orcid.org/0000-0002-2364-1164 UNSPECIFIED Sawicki, Adam UNSPECIFIED orcid.org/0000-0003-4906-2459 UNSPECIFIED Gross, David UNSPECIFIED UNSPECIFIED UNSPECIFIED Lopes, Alexandre UNSPECIFIED UNSPECIFIED UNSPECIFIED Schilling, Christian UNSPECIFIED orcid.org/0000-0001-6781-4111 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-347600
DOI:	10.1088/1367-2630/ab64b1
Journal or Publication Title:	New J. Phys.
Volume:	22
Number:	2
Date:	2020
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1367-2630
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GEOMETRY Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/34760