Abstract
Using the framework provided by the mixed state representation, we numerically study the thermal behavior of a spinless bose system with a short-range repulsive interaction. The main aim of this work is to elucidate the character of the transition from a condensed phase to a non-condensed phase in a homogeneous system. Under the approximation of dilute density, the transition appears to be first order. A consistent treatment gives rise to a second-order transition.
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