Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions

Details Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions

2005-02-21

arxiv.org/abs/cond-mat/0502500v2

Phys. Rev. Lett. 95, 056402 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures, 1 table

Scientific paper

10.1103/PhysRevLett.95.056402

We analyze correlations between subsystems for an extended Hubbard model exactly solvable in one dimension, which exhibits a rich structure of quantum phase transitions (QPTs). The T=0 phase diagram is exactly reproduced by studying singularities of single-site entanglement. It is shown how comparison of the latter quantity and quantum mutual information allows one to recognize whether two-point or shared quantum correlations are responsible for each of the occurring QPTs. The method works in principle for any number D of degrees of freedom per site. As a by-product, we are providing a benchmark for direct measures of bipartite entanglement; in particular, here we discuss the role of negativity at the transition.

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