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22 September 2019
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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
AffiliationCenter for Quantum Information and Quantum Control, University of Toronto
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 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
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