Polarized polariton condensates and coupled XY models

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Microcavity polaritons, which at low temperatures can condense to a macroscopic coherent state, possess a polarization degree of freedom. This article discusses the phase diagram of such a system, showing the boundaries between differently polarized condensates. The Bogoliubov approximation is shown to have problems in describing the transition between differently polarized phases; the Hartree-Fock-Popov approximation performs better, and compares well to exact results that can be used in the limit where the left- and right-circular polarization states decouple. The effect on the phase boundary of various symmetry breaking terms present in real microcavities are also considered.
6 pages, 3 figures. Extended version

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