Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911309872758784 |
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| author | Lipka-Bartosik, Patryk Perarnau-Llobet, Martí |
| author_facet | Lipka-Bartosik, Patryk Perarnau-Llobet, Martí |
| contents | 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 $Σ$ decays at most linearly with $n$. Instead, we derive a cooling protocol in which $Σ\propto 1/n^2$, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_00944 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound Lipka-Bartosik, Patryk Perarnau-Llobet, Martí Quantum Physics Statistical Mechanics 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 $Σ$ decays at most linearly with $n$. Instead, we derive a cooling protocol in which $Σ\propto 1/n^2$, 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. |
| title | Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2411.00944 |