Mpemba effect in spin glasses: a persistent memory effect

The Mpemba effect refers to the observation that the hotter of two identical beakers of water, put in contact with the same thermal reservoir, can cool faster under certain conditions. The phenomenon is not specific to water, as it has been reported for nanotube resonators and clathrate hydrates. However, although records of the Mpemba effect date as far back as Aristotle, its very existence has been questioned. The study of simpler systems is clearly needed to clarify the underlying physics, granular fluids being one successful example of this approach. Here, we propose spin glasses as an alternative model system. Using the Janus II supercomputer, custom built for spin-glass simulations, we show that the Mpemba effect is indeed present in spin glasses and we clarify its origin: it is a non-equilibrium memory effect, encoded in the glassy coherence length.