Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound

• URL: http://arxiv.org/abs/2411.00944v1
• Date: Fri, 01 Nov 2024 18:00:08 GMT
• Title: Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
• Authors: Patryk Lipka-Bartosik, Martí Perarnau-Llobet,
• Abstract summary: We prove that for any non-interacting $n$-particle reservoir, the entropy production $Sigma$ decays at most linearly with $n$. We derive a cooling protocol in which $Sigma propto 1/n2$, which is in fact the best possible scaling.
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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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