Related papers: Quantization of the classical Mpemba effect

Quantization of the classical Mpemba effect

URL: http://arxiv.org/abs/2607.06071v1
Date: Tue, 07 Jul 2026 09:42:11 GMT
Title: Quantization of the classical Mpemba effect
Abstract summary: The Mpemba effect refers to the counterintuitive phenomenon that an initially hot system can freeze faster than an initially warm one.<n>Recent years have brought major advances in both classical and quantum realizations.<n>We show that quantization shifts Mpemba behavior to qualitatively new regimes.
Score: 33.72751145910978
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The Mpemba effect refers to the counterintuitive phenomenon that an initially hot system can freeze faster than an initially warm one. Recent years have brought major advances in both classical and quantum realizations, with the asymmetric bistable potential emerging as the paradigmatic classical benchmark because its mechanism is especially transparent and controllable. Yet for precisely this benchmark problem, the impact of quantization remains unexplored. Here we show that quantization shifts Mpemba behavior to qualitatively new regimes, moving it to ultra-cold temperatures that are orders of magnitude lower than those relevant for classical thermal barrier crossing. In addition, quantization produces inverse and double inverse Mpemba effects that are absent in the corresponding classical dynamics. Our results establish quantization as a robust route to quantum-enabled Mpemba effects inaccessible in classical regimes.

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