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Due to the presence of phonons, many body localization (MBL) does not occurin disordered solids, even if disorder is strong. Local conservation lawscharacterizing an underlying MBL phase decay due to the coupling to phonons.Here we show that this decay can be compensated when the system is driven outof equilibrium. The resulting variations of the local temperature providecharacteristic fingerprints of an underlying MBL phase. We consider aone-dimensional disordered spin-chain which is weakly coupled to a phonon bathand weakly irradiated by white light. The irradiation has weak effects in theergodic phase. However, if the system is in the MBL phase irradiation inducesstrong temperature variations of order 1 despite the coupling to phonons.Temperature variations can be used similar to an order parameter to detect MBLphases, the phase transition and an MBL correlation length.

Activating many-body localization in solids by driving with light