Entanglement in a second order quantum phase transition

Details Entanglement in a second order quantum phase transition Entanglement in a second order quantum phase transition

2003-05-23

arxiv.org/abs/cond-mat/0305573v2

Phys. Rev. A 69, 022107 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 EPS figures, minor corrections added and title changed

Scientific paper

10.1103/PhysRevA.69.022107

We consider a system of mutually interacting spin 1/2 embedded in a transverse magnetic field which undergo a second order quantum phase transition. We analyze the entanglement properties and the spin squeezing of the ground state and show that, contrarily to the one-dimensional case, a cusp-like singularity appears at the critical point $\lambda_c$, in the thermodynamic limit. We also show that there exists a value $\lambda_0 \geq \lambda_c$ above which the ground state is not spin squeezed despite a nonvanishing concurrence.

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