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Work as a function of protocol duration for the efficient erasure of an underdamped memory: isothermal to adiabatic transition — arXiv:2609.11473

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.11473
License (as archived): CC0-1.0
Archived: 2026-10-16T06:52:08.073Z
SHA-256 of the archived text: 724934c97f9cb56fa6ba852b8dd64aee213e796c776d223e26b149cd22c8c962
Stable URL of this page: https://metraipolis.com/documento/dc_270ff01edd33

How to cite

Work as a function of protocol duration for the efficient erasure of an underdamped memory: isothermal to adiabatic transition — arXiv:2609.11473 — arXiv (en), https://arxiv.org/abs/2609.11473 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_270ff01edd33 (Metraipolis archive dc_270ff01edd33, sha256 724934c97f9cb56fa6ba852b8dd64aee213e796c776d223e26b149cd22c8c962)

BibTeX

@misc{dc270ff01edd33,
  title = {Work as a function of protocol duration for the efficient erasure of an underdamped memory: isothermal to adiabatic transition — arXiv:2609.11473},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.11473},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_270ff01edd33; sha256 724934c97f9cb56fa6ba852b8dd64aee213e796c776d223e26b149cd22c8c962},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.11473. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We use evolutionary reinforcement learning to determine efficient time-dependent erasure protocols for an underdamped cantilever moving in a double-well potential, an experimental realization of a 1-bit memory. We investigate how the mean work $\langle W \rangle $ needed to erase a bit scales as a function of the protocol duration $\tau$. We find two regimes, depending on how $\tau$ compares to the relaxation time of the system $t_r$. For $\tau \gg t_r$, the quasistatic isothermal regime, we recover Landauer's bound plus an overhead that scales as $1/\tau$, similar to the overdamped case. By contrast, for $\tau<t_r$ erasure becomes adiabatic and $\langle W \rangle$ grows more slowly than in the isothermal case. This growth is bounded from below as $1/\tau$, which we derive using a gedanken optimal protocol. Finally, comparison with overdamped erasure shows that learned protocols can outperform protocols that are optimal subject to equilibrium boundary conditions.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-11 in cond-mat.stat-mech).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2609.11473 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T06:35:53.981Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-09-11?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).