Dual quantum-correlation paradigms exhibit opposite   statistical-mechanical properties
  We report opposite statistical mechanical behaviors of the two major paradigms in which quantum correlation measures are defined, viz., the entanglement-separability paradigm and the information-theoretic one. We show this by considering the ergodic properties of such quantum correlation measures in transverse quantum XY spin-1/2 systems in low dimensions. While entanglement measures are ergodic in such models, the quantum correlation measures defined from an information-theoretic perspective can be nonergodic. 
R. Prabhu, Aditi Sen De, and Ujjwal Sen
quant-ph cond-mat.stat-mech cond-mat.str-el