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 Friday, 25 July 2003 (at 14:15 in room Phy 4.1.13) Entanglement and spin squeezing in a quantum phase transition Guillaume PalaciosDepartement de physiqueEcole Normale Superieure   France

 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.

Invited by G. Cuniberti (MC seminar)

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