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Members: 1476 Articles: 1'346'278 Articles rated: 1486
04 September 2010 |
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Science-advisor review | |
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SCIENCE-ADVISOR - review - "great paper..."
Science-advisor.net 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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