The grand canonical catastrophe, revisited
prof. Alessandro Sarracino (Università della Campania ``Luigi Vanvitelli``)
Aula S4 (Edificio F)
The realisation of Bose-Einstein condensation of photons under grand-canonical conditions has provided experimental evidence for the simultaneous occurrence of macroscopic fluctuations and phase coherence of the condensate. The observation of these two features, against a consolidated tradition which wants the fluctuations to be pathological (grand-canonical catastrophe) and incompatible with spontaneous symmetry breaking, calls for a comprehensive rethinking of the approach to the problem. In this talk we consider the uniform ideal gas in a box and we present an alternative conceptual framework. We show that the usually-employed Bogoliubov quasi-average construction fails to reproduce the broken-symmetry state. The observed features are accounted for by a different pattern of spontaneous symmetry breaking, characterised by condensation of fluctuations and long-range correlations of the order parameter.
