Physics – Quantum Physics
Scientific paper
2012-02-07
Physics
Quantum Physics
Submitted
Scientific paper
We have investigated the quantum phase transitions in the ground states of several critical systems, including transverse field Ising and XY models as well as XY with multiple spin interactions, XXZ and the collective system LMG models, by using different quantumness measures, such as entanglement of formation, quantum discord, as well as its classical counterpart, measurement-induced disturbance and CHSH-Bell function. We have searched for quantum information theory based new indicators of the critical points of phase transitions in these critical systems, such as measurement-induced disturbance and CHSH function, and have compared and contrasted them with the well known critical point detectors, the so-called, quantum discord, entanglement and classical correlations. Measurement-induced disturbance is found to detect the first and second order phase transitions present in these critical systems, while, surprisingly, it is found to fail to signal the infinite-order phase transition present in XXZ model. Remarkably, CHSH-Bell function, although is not violated, is found to detect all the phase transitions, even when quantum and classical correlations are zero for the relevant ground state.
Altintas Ferdi
Eryigit Resul
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