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PreprintCC BY 4.0arXiv

Driving the cooling process of a quantum system via classical noise

Abstract

It is known that under particular hypotheses anomalous thermalization processes can occur, such as the Mpemba effect, consisting in a faster cooling down when the system is prepared in a hotter initial condition, thus making convenient to warm up the system before the freezing process in order to make it freeze in a shorter time. It is shown here that the action of a Markovian classical noise during the freezing process can accelerate the approach to the zero-temperature thermal state. This prediction is counterintuitive, especially after observing that a classical noise can be considered equivalent to the action of an infinite-temperature reservoir, since both drive the system toward the same state. These facts lead to the statement that warming up the system during the contact with a low-temperature reservoir can accelerate the cooling process.

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BibTeX
@misc{militello2026driving,
  title = {{Driving the cooling process of a quantum system via classical noise}},
  author = {B. Militello and A. Napoli},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21608},
  eprint = {2610.21608},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21608},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Driving the cooling process of a quantum system via classical noise
AU  - B. Militello
AU  - A. Napoli
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21608
UR  - https://arxiv.org/abs/2610.21608
AB  - It is known that under particular hypotheses anomalous thermalization processes can occur, such as the Mpemba effect, consisting in a faster cooling down when the system is prepared in a hotter initial condition, thus making convenient to warm up the system before the freezing process in order to make it freeze in a shorter time. It is shown here that the action of a Markovian classical noise during the freezing process can accelerate the approach to the zero-temperature thermal state. This prediction is counterintuitive, especially after observing that a classical noise can be considered equivalent to the action of an infinite-temperature reservoir, since both drive the system toward the same state. These facts lead to the statement that warming up the system during the contact with a low-temperature reservoir can accelerate the cooling process.
ER  -