Abstract
The microcanonical entropy s(e, m) as a function of the energy e and the magnetization m is computed analytically for the anisotropic quantum Heisenberg model withCurie–Weiss-type interactions. The result shows a number of interesting properties whichare peculiar to long-range interacting systems, including nonequivalence of ensembles andpartial equivalence. Furthermore, from the shape of the entropy it follows that theCurie–Weiss Heisenberg model is indistinguishable from the Curie–Weiss Ising model incanonical thermodynamics, although they do in general differ in microcanonicalthermodynamics. The possibility of experimentally realizing quantum spin models withlong-range interactions in a microcanonical setting by means of cold dipolar gases in opticallattices is discussed.
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