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Entanglement in Quantum Critical Phenomena

Vidal, G. and Latorre, J. I. and Rico, E. and Kitaev, A. (2003) Entanglement in Quantum Critical Phenomena. Physical Review Letters, 90 (22). Art. No. 227902. ISSN 0031-9007. doi:10.1103/PhysRevLett.90.227902.

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Entanglement, one of the most intriguing features of quantum theory and a main resource in quantum information science, is expected to play a crucial role also in the study of quantum phase transitions, where it is responsible for the appearance of long-range correlations. We investigate, through a microscopic calculation, the scaling properties of entanglement in spin chain systems, both near and at a quantum critical point. Our results establish a precise connection between concepts of quantum information, condensed matter physics, and quantum field theory, by showing that the behavior of critical entanglement in spin systems is analogous to that of entropy in conformal field theories. We explore some of the implications of this connection.

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Additional Information:©2003 The American Physical Society (Received 5 December 2002; published 2 June 2003) This work was supported by the Spanish Grants No. GC2001SGR-00065 and No. MCYT FPA2001-3598, by the National Science Foundation of USA under Grant No. EIA–0086038, and by the European Union under Grant No. ISF1999-11053.
Subject Keywords:quantum entanglement; critical points; conformal field theory; spin systems; long-range order; magnetic transitions
Issue or Number:22
Record Number:CaltechAUTHORS:VIDprl03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2021
Deposited By: Archive Administrator
Deposited On:02 Mar 2006
Last Modified:08 Nov 2021 19:44

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