Universität zu Köln

Dwivedi, Vatsal ORCID: 0000-0002-3315-7667 and Chua, Victor (2018). Phase space entanglement spectrum. J. Phys. A-Math. Theor., 51 (31). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

The study of quantum entanglement involves the choice of an entanglement cut, often corresponding to a partitioning of the system in posit ion space. We generalize these partitions to a family of entanglement cuts corresponding to arbitrary directions in the classical phase space. For one dimensional free fermionic many-body wavefunctions, we analytically compute the full entanglement spectra for a family of entanglement cuts corresponding to a rotation in the classical phase space. These cuts continuously interpolate between the commonly studied position- and momentum-space cuts, as well as provide an implementation of the inversion symmetry smoothly connected to identity. The inversion symmetry of the wavefunctions is reflected in the chiral symmetry of the phase space entanglement spectra, and we use the associated chiral invariant to classify the inversion symmetric fermionic many-body wavefunctions.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Dwivedi, Vatsal UNSPECIFIED orcid.org/0000-0002-3315-7667 UNSPECIFIED Chua, Victor UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-176684
DOI:	10.1088/1751-8121/aacc4d
Journal or Publication Title:	J. Phys. A-Math. Theor.
Volume:	51
Number:	31
Date:	2018
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1751-8121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM-MECHANICS; WIGNER FUNCTIONS; SYSTEMS; ENTROPY Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/17668