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arXiv · 2411.00944

Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound

Patryk Lipka-Bartosik·Martí Perarnau-Llobet
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Abstract

We explore the fundamental limits on thermodynamic irreversibility when cooling a quantum system in the presence of a finite-size reservoir. First, we prove that for any non-interacting $n$-particle reservoir, the entropy production $\Sigma$ decays at most linearly with $n$. Instead, we derive a cooling protocol in which $\Sigma \propto 1/n^2$, which is in fact the best possible scaling. This becomes possible due to the presence of interactions in the finite-size reservoir, which must be prepared at the verge of a phase transition. Our results open the possibility of cooling with a higher energetic efficiency via interacting reservoirs.

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Patryk Lipka-Bartosik, Martí Perarnau-Llobet. 2024-11-01. Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound. https://doi.org/10.1103/5w1r-1nzs

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