Linking entanglement and quantum phase transitions via density functional theory

Details Linking entanglement and quantum phase transitions via density functional theory Linking entanglement and quantum phase transitions via density functional theory

2005-12-04

arxiv.org/abs/quant-ph/0512031v4

Phys. Rev. A 74, 052335 (2006)

Physics

Quantum Physics

6 pages, 2 figures

Scientific paper

10.1103/PhysRevA.74.052335

Density functional theory (DFT) is shown to provide a novel conceptual and computational framework for entanglement in interacting many-body quantum systems. DFT can, in particular, shed light on the intriguing relationship between quantum phase transitions and entanglement. We use DFT concepts to express entanglement measures in terms of the first or second derivative of the ground state energy. We illustrate the versatility of the DFT approach via a variety of analytically solvable models. As a further application we discuss entanglement and quantum phase transitions in the case of mean field approximations for realistic models of many-body systems.

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