This research links quantum thermometry with anomalous relaxation, showing that Mpemba-like inversions always amplify quantum Fisher information for temperature estimation at finite times. Thus, the Mpemba effect transitions from a thermodynamic curiosity into a concrete metrological resource. Using the example of two- and three-level probes coupled to bosonic reservoirs, it is shown that non-equilibrium initializations can temporarily outperform both equilibrium strategies and colder initial states—realizing a metrological Mpemba effect. These findings establish anomalous relaxation as a general design principle for non-equilibrium quantum thermometry, paving the way for ultrafast nanoscale sensing protocols that exploit transient dynamics.
A cook sprays water onto a hot skillet: droplets sizzle and vanish, instantly signaling the temperature—faster than waiting for a thermometer. A similar principle now works in quantum thermometry. A tiny sensor (say, an atom) is deliberately heated, and as it rushes back toward rest—the growth of entropy (disorder) as per Boltzmann’s legacy—it briefly becomes hypersensitive to the ambient temperature. The paradox: starting from a hot state accelerates cooling—exactly like the Mpemba effect, where hot water freezes faster than cold.
This is critical for quantum computers and microchips, where conventional thermal control is impossible. And the Mpemba effect itself still lacks a single explanation—scientists still debate the causes, yet it already serves as a practical tool.
🎯 The Mpemba effect remains a mystery: scientists cannot unequivocally explain it. Hypotheses include evaporation, convection, and supercooling.