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18 July 2019
 
  » pubmed » pmid15697878

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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
AbstractWe 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
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