Ground state factorization and correlations with broken symmetry
arXiv:1012.4270 · doi:10.1209/0295-5075/96/27002
Abstract
We show how the phenomenon of factorization in a quantum many body system is of collective nature. To this aim we study the quantum discord in the one dimensional XY model in a transverse field. We analyze the behavior of at both the critical point and at the non critical factorizing field. The factorization is found to be governed by an exponential scaling law for . We also address the thermal effects fanning out from the anomalies occurring at zero temperature. Close to the quantum phase transition, exhibits a finite-temperature crossover with universal scaling behavior, while the factorization phenomenon results in a non trivial pattern of correlations present at low temperature.
to be published in EPL
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