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We investigate the role of phase transitions into the spontaneous emissionrate of quantum emitters embedded in a critical medium. Using a Landau-Ginzburgapproach, we find that, in the broken symmetry phase, the emission rate isreduced or even suppressed due to the photon mass generated by the Higgsmechanism. Moreover, we show that the spontaneous emission presents aremarkable dependence upon the critical exponents associated to a given phasetransition, allowing for an optical determination of the universality class.Our findings not only demonstrate that the Purcell effect constitutes anefficient optical probe of distinct critical phenomena, but they also unveilthat a more general connection between phase transitions and spontaneousemission exist, as previous experimental and numerical evidences suggest.

Characterizing critical exponents via Purcell effect