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Frustration, interaction strength, and ground-state entanglement in complex quantum systems

Dawson, Christopher M. and Nielsen, Michael A. (2004) Frustration, interaction strength, and ground-state entanglement in complex quantum systems. Physical Review A, 69 (5). Art. No. 052316. ISSN 1050-2947. https://resolver.caltech.edu/CaltechAUTHORS:20170408-140441803

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Abstract

Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian. We quantify this phenomenon, demonstrating an analogy between ground-state entanglement and the phenomenon of frustration in spin systems. In particular, we prove that the amount of ground-state entanglement is bounded above by a measure of the extent to which interactions frustrate the local terms in the Hamiltonian. As a corollary, we show that the amount of ground-state entanglement is bounded above by a ratio between parameters characterizing the strength of interactions in the system, and the local energy scale. Finally, we prove a qualitatively similar result for other energy eigenstates of the system.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.69.052316DOIArticle
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.69.052316PublisherArticle
http://arxiv.org/pdf/quant-ph/0401061arXivDiscussion Paper
Additional Information:© 2004 American Physical Society. (Received 13 January 2004; published 14 May 2004) We thank Henry Haselgrove and Guifre Vidal for enjoyable and encouraging discussions. Much of this work was completed at the Institute for Quantum Information at Caltech, and we thank the Institute for their hospitality.
Issue or Number:5
Classification Code:PACS number(s): 03.67.Lx, 03.65.Ud, 03.67.Mn
Record Number:CaltechAUTHORS:20170408-140441803
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170408-140441803
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75914
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:19 Apr 2017 19:15
Last Modified:03 Oct 2019 16:55

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