Universität zu Köln

Clark, John W., Habibian, Hessam ORCID: 0000-0001-6983-5442, Mandilara, Aikaterini D. and Ristig, Manfred L. (2010). Aspects of Entanglement in Quantum Many-Body Systems. Found. Phys., 40 (9-10). S. 1200 - 1221. NEW YORK: SPRINGER. ISSN 1572-9516

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Abstract

Knowledge of the entanglement properties of the wave functions commonly used to describe quantum many-particle systems can enhance our understanding of their correlation structure and provide new insights into quantum phase transitions that are observed experimentally or predicted theoretically. To illustrate this theme, we first examine the bipartite entanglement contained in the wave functions generated by microscopic many-body theory for the transverse Ising model, a system of Pauli spins on a lattice that exhibits an order-disorder magnetic quantum phase transition under variation of the coupling parameter. Results for the single-site entanglement and measures of two-site bipartite entanglement are obtained for optimal wave functions of Jastrow-Hartree type. Second, we address the nature of bipartite and tripartite entanglement of spins in the ground state of the noninteracting Fermi gas, through analysis of its two- and three-fermion reduced density matrices. The presence of genuine tripartite entanglement is established and characterized by implementation of suitable entanglement witnesses and stabilizer operators. We close with a broader discussion of the relationships between the entanglement properties of strongly interacting systems of identical quantum particles and the dynamical and statistical correlations entering their wave functions.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Clark, John W. UNSPECIFIED UNSPECIFIED UNSPECIFIED Habibian, Hessam UNSPECIFIED orcid.org/0000-0001-6983-5442 UNSPECIFIED Mandilara, Aikaterini D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Ristig, Manfred L. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-495525
DOI:	10.1007/s10701-010-9467-6
Journal or Publication Title:	Found. Phys.
Volume:	40
Number:	9-10
Page Range:	S. 1200 - 1221
Date:	2010
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1572-9516
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ISING-MODEL; SEPARABILITY; STATES; HEAVY Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49552