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Article overview
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Quantum Phase Transitions and Bipartite Entanglement | | Lian-Ao Wu
; Marcelo S. Sarandy
; Daniel A. Lidar
; | | Rating: | Members: 5/5 (1 reader) | Visitors: 5/5 (1 visitor) | | Date: |
7 Jul 2004 | | Journal: | Phys. Rev. Lett. 93, 250404 (2004) | | Subject: | Quantum Physics; Statistical Mechanics | quant-ph cond-mat.stat-mech | | Affiliation: | Center for Quantum Information and Quantum Control, University of Toronto | | Abstract: | We 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. | | Source: | arXiv, quant-ph/0407056 | | Other source: | [GID 794622] pmid15697878 | | Services: | Forum | Review | PDF | Favorites | |
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1 review found:
(To access fulltext of a review, click on titles below.)
1. Science-advisor.net review 08030051 
Rate this comment. |  | | | Review title: |
great paper | | Reviewer: |
reviewer1161 | | Date: |
04 March 2008 at 18:06 GMT. | | 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. |
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