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Pontus-Mpemba Effects

Andrea Nava and Reinhold Egger

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Phys. Rev. Lett. 135, 140404 – Published 2 October, 2025

DOI: https://doi.org/10.1103/hhgj-89gj

Abstract

Mpemba effects occur after a sudden quench of control parameters if, for “far” (or “hot”) initial states with respect to a final target state, the relaxation time toward the target state is shorter than for “close” (or “cold”) initial states. Following a strategy of fishermen in Pontus described by Aristotle, we introduce the Pontus-Mpemba effect as a two-step protocol that includes the time needed for preparing the system in the “far” initial state that can now be an arbitrary nonequilibrium state. Our protocol needs no parameter distance concept and applies to general (classical or quantum) systems. We find that all possible Pontus-Mpemba effects fall into three classes and illustrate the theory for open Markovian two-state quantum systems.

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Phys. Rev. Lett. 135, 140404– Published 2 October, 2025
  • Received 20 May 2025
  • Revised 24 July 2025
  • Accepted 17 September 2025
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