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Ground state entanglement in quantum spin chains

Latorre, J. I. and Rico, E. and Vidal, G. (2004) Ground state entanglement in quantum spin chains. Quantum Information and Computation, 4 (1). pp. 48-92. ISSN 1533-7146.

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A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows the emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus controlled by conformal symmetry. Away from the critical point, entanglement gets saturated by a mass scale. Results borrowed from conformal field theory imply irreversibility of entanglement loss along renormalization group trajectories. Entanglement does not saturate in higher dimensions which appears to limit the success of the density matrix renormalization group technique. A possible connection between majorization and renormalization group irreversibility emerges from our numerical analysis.

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Additional Information:© 2004 Rinton Press. Received July 10, 2003; Revised January 13, 2004. We thank A. Kitaev for very valuable input and R. Emparan for fruitful discussions. This work was supported by Spanish grants GC2001SGR-00065 and MCYT FPA2001-3598, by the National Science Foundation of USA under grant EIA–0086038, and by the European Union under grant ISF1999-11053.
Funding AgencyGrant Number
Spanish GrantGC2001SGR-00065
Spanish GrantMCYTFPA2001-3598
European Union (EU)ISF1999-11053
Subject Keywords:spin chain; critical phenomena; entropy; entanglement
Issue or Number:1
Classification Code:PACS: 03.67.-a, 03.65.Ud, 03.67.Hk
Record Number:CaltechAUTHORS:20110817-113320830
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24913
Deposited By: Tony Diaz
Deposited On:24 Oct 2011 23:10
Last Modified:03 Oct 2019 03:01

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