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Measuring entanglement entropies in many-body systems

Klich, Israel and Refael, Gil and Silva, Alessandro (2006) Measuring entanglement entropies in many-body systems. Physical Review A, 74 (3). Art. No. 032306. ISSN 1050-2947. doi:10.1103/PhysRevA.74.032306.

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We explore the relation between entanglement entropy of quantum many-body systems and the distribution of corresponding, properly selected, observables. Such a relation is necessary to actually measure the entanglement entropy. We show that, in general, the Shannon entropy of the probability distribution of certain symmetry observables gives a lower bound to the entropy. In some cases this bound is saturated and directly gives the entropy. We also show other cases in which the probability distribution contains enough information to extract the entropy: we show how this is done in several examples including BEC wave functions, the Dicke model, XY spin chain, and chains with strong randomness.

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Additional Information:©2006 The American Physical Society (Received 28 February 2006; published 11 September 2006) We thank J. Preskill, L. B. Ioffe, and G. Levin for discussions.
Subject Keywords:quantum entanglement; Bose-Einstein condensation; many-body problems; statistical distributions; X-Y model; entropy; wave functions
Issue or Number:3
Record Number:CaltechAUTHORS:KLIpra06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6039
Deposited By: Archive Administrator
Deposited On:15 Nov 2006
Last Modified:08 Nov 2021 20:30

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