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PreprintCC BY 4.0arXiv

Initial-Slip Dynamics Enables the Quantum Mpemba Effect

Abstract

We investigate the quantum Mpemba effect, whereby a system initially farther from equilibrium relaxes faster than one initially closer to equilibrium, emerging in a quantum harmonic oscillator linearly coupled to a bosonic environment. Starting from factorized thermal states at different temperatures, we derive exact analytical criteria for the occurrence of the quantum Mpemba effect valid also beyond the typically considered weak-coupling and Markovian approximations. Most importantly, we show that the effect is enabled by the initial-slip dynamics generated by the sudden switch-on of the system-bath interaction. Neglecting this contribution completely suppresses the anomalous relaxation, identifying transient system-bath correlations as the key ingredient underlying the quantum Mpemba effect.

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BibTeX
@misc{crotti2026initialslip,
  title = {{Initial-Slip Dynamics Enables the Quantum Mpemba Effect}},
  author = {M. Crotti and F. Cavaliere and D. Ferraro and G. Benenti and M. Sassetti},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16781},
  eprint = {2609.16781},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16781},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Initial-Slip Dynamics Enables the Quantum Mpemba Effect
AU  - M. Crotti
AU  - F. Cavaliere
AU  - D. Ferraro
AU  - G. Benenti
AU  - M. Sassetti
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16781
UR  - https://arxiv.org/abs/2609.16781
AB  - We investigate the quantum Mpemba effect, whereby a system initially farther from equilibrium relaxes faster than one initially closer to equilibrium, emerging in a quantum harmonic oscillator linearly coupled to a bosonic environment. Starting from factorized thermal states at different temperatures, we derive exact analytical criteria for the occurrence of the quantum Mpemba effect valid also beyond the typically considered weak-coupling and Markovian approximations. Most importantly, we show that the effect is enabled by the initial-slip dynamics generated by the sudden switch-on of the system-bath interaction. Neglecting this contribution completely suppresses the anomalous relaxation, identifying transient system-bath correlations as the key ingredient underlying the quantum Mpemba effect.
ER  -