Cooling more while dissipating less: anomalous tradeoffs from thermodynamic geometry

Abstract

We show that, starting from the same state, optimal driving can sometimes reach a colder (or hotter) target in the same amount of time while dissipating less energy, or equivalently dissipate the same amount of energy in a shorter time. We study this counterintuitive phenomenon in the slow-driving regime of an open quantum system, where we name it Near-Equilibrium Anomalous Tradeoff (NEAT). We establish necessary conditions for its occurrence and show its underlying geometric origin. While NEAT is reminiscent of the well-known Mpemba effect, the two phenomena are distinct in general. We demonstrate NEAT in an exactly solvable qutrit model, as well as for d-dimensional birth-death dynamics with independently controlled energy levels. Finally, we show how NEAT can improve the performance of Carnot engines.

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BibTeX RIS

BibTeX

@misc{canzio2026cooling,
  title = {{Cooling more while dissipating less: anomalous tradeoffs from thermodynamic geometry}},
  author = {Andrea Canzio and Vasco Cavina and Salvatore Raia and Vito Vetrano and Matteo Scandi and Paolo Abiuso},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27948},
  eprint = {2610.27948},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27948},
  note = {CC0},
}

RIS

TY  - UNPB
TI  - Cooling more while dissipating less: anomalous tradeoffs from thermodynamic geometry
AU  - Andrea Canzio
AU  - Vasco Cavina
AU  - Salvatore Raia
AU  - Vito Vetrano
AU  - Matteo Scandi
AU  - Paolo Abiuso
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.27948
UR  - https://arxiv.org/abs/2610.27948
AB  - We show that, starting from the same state, optimal driving can sometimes reach a colder (or hotter) target in the same amount of time while dissipating less energy, or equivalently dissipate the same amount of energy in a shorter time. We study this counterintuitive phenomenon in the slow-driving regime of an open quantum system, where we name it Near-Equilibrium Anomalous Tradeoff (NEAT). We establish necessary conditions for its occurrence and show its underlying geometric origin. While NEAT is reminiscent of the well-known Mpemba effect, the two phenomena are distinct in general. We demonstrate NEAT in an exactly solvable qutrit model, as well as for d-dimensional birth-death dynamics with independently controlled energy levels. Finally, we show how NEAT can improve the performance of Carnot engines.
ER  -

Abstract

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