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TT: Tiefe Temperaturen
TT 14: Systeme korrelierter Elektronen: Theorie II
TT 14.8: Talk
Wednesday, March 13, 2002, 16:15–16:30, H19
Scaling, Entanglement, and Quantum Phase Transitions — •Andreas Osterloh1,2, Rosario Fazio1,2, Luigi Amico1,2, and Giuseppe Falci1,2 — 1DMFCI, Universitá di Catania, Viale A. Doria 6, I-95125 Catania, Italien — 2INFM, Unitá di Catania, Italien
Using the reduced density matrix for a class of models ranging from the Ising model to the XY model with transverse magnetic field, we calculate exactly the scaling behavior of the concurrence near the quantum critical point. This is reached by means of a one-to-one correspondence between the concurrence and correlation functions, which are known exactly for this class of integrable models. The scaling of the concurrence with the critical exponent ν=1 of the universality class of the Ising model is obtained. The long range of the correlation functions is found to not being transported in general onto the concurrence, which distinguishes this pure quantum correlation from usual correlations.