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Quantum phase transitions and bipartite entanglement | | L-A Wu
; M S Sarandy
; D A Lidar
; | | Date: |
17 Dec 2004 | | Journal: | Phys Rev Lett, 93 (25), 250404 | | 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 nonanalyticity characterizes a QPT, are directly tied to bipartite entanglement measures. We show that first-order QPTs are signaled 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: | PubMed, pmid15697878 | | Other source: | [GID 794622] quant-ph/0407056 | | Services: | Forum | Review | Favorites | |
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