A long-range quantum ferromagnet exhibits ensemble inequivalence, with microcanonical and canonical phase diagrams agreeing at T=0 but diverging at finite temperatures.
Direct equiv- alence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of en- tanglement
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Ensemble Inequivalence in Long-Range Quantum Spin Systems
A long-range quantum ferromagnet exhibits ensemble inequivalence, with microcanonical and canonical phase diagrams agreeing at T=0 but diverging at finite temperatures.