In recent years there has been great interest towards optical cavities as a tool to manipulate the properties and phases of embedded quantum materials. Due to the Purcell effect, a cavity changes the photon phase space and thus the rate of electromagnetic transitions within the material, modifying the exchange rate of heat radiation with the photon environment. This work derives a simple expression for the radiative heat absorbed by the material, investigates how it changes in the presence of a cavity, and shows that it is enhanced dramatically for appropriate cavity geometries. This effect is compared with typical energy dissipation processes, providing a criterion to estimate its impact on the temperature of a material in the cavity and applying it to 1T-${\mathrm{T}aS}_2$.

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• Cavity quantum electrodynamics
• Light-matter interaction
• Strong electromagnetic field effects
• Thermal properties
• Transition temperature
• Cavity methods
• Cavity resonators