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The Mpemba effect occurs when a hot system cools faster than an initiallycolder one, when both are refrigerated in the same thermal reservoir. Using thecustom built supercomputer Janus II, we study the Mpemba effect in spin glassesand show that it is a non-equilibrium process, governed by the coherence length\xi of the system. The effect occurs when the bath temperature lies in theglassy phase, but it is not necessary for the thermal protocol to cross thecritical temperature. In fact, the Mpemba effect follows from a strongrelationship between the internal energy and \xi that turns out to be asure-tell sign of being in the glassy phase. Thus, the Mpemba effect presentsitself as an intriguing new avenue for the experimental study of the coherencelength in supercooled liquids and other glass formers.

The Mpemba effect in spin glasses is a persistent memory effect