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15 April 2021
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 Science-advisor review

SCIENCE-ADVISOR - review - "great paper..." review 08030051    * Rate this comment.
Article reference: Quantum Phase Transitions and Bipartite Entanglement.
Review title: great paper
Reviewer: reviewer1161
Date: 04 March 2008 at 18:06 GMT.
Read this article?: a bridge of quantum information and condensed matter
Comment: this is a great paper that develop a general theory of the relation between quantum phase transitions (QPTs) characterized by nonanalyticities in the energy and bipartite entanglement. We derive a functional relation between the matrix elements of two-particle reduced density matrices and the eigenvalues of general two-body Hamiltonians of $d$-level systems. The ground state energy eigenvalue and its derivatives, whose non-analyticity characterizes a QPT, are directly tied to bipartite entanglement measures. We show that first-order QPTs are signalled by density matrix elements themselves and second-order QPTs by the first derivative of density matrix elements. Our general conclusions are illustrated via several quantum spin models.

important: 5,    broad interest: 5,    readable: 5,    new: 5,    correct: 5,   Global: 5
Article rating: 5/5
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