Finite-Time Optimization of Quantum Szilard heat engine
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arXiv
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| Format: | Preprint |
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2023
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| author | Zhou, Tan-Ji Ma, Yu-Han Sun, C. P. |
| author_facet | Zhou, Tan-Ji Ma, Yu-Han Sun, C. P. |
| contents | We propose a finite-time quantum Szilard engine (QSE) with a quantum particle with spin as the working substance (WS) to accelerate the operation of information engines. We introduce a Maxwell's demon (MD) to probe the spin state within a finite measurement time $t_{\rm M}$ to capture the which-way information of the particle, quantified by the mutual information $I(t_{\rm{M}})$ between WS and MD. We establish that the efficiency $η$ of QSE is bounded by $η\leq1-(1-η_{\rm{C}}){\rm ln}2/I(t_{\rm M})$, where $I(t_{\rm M})/\rm{ln}2$ characterizes the ideality of quantum measurement, and approaches $1$ for the Carnot efficiency reached under ideal measurement in quasi-static regime. We find that the power of QSE scales as $P\propto t_{\rm M}^{3}$ in the short-time regime and as $P\propto t_{\rm M}^{-1}$ in the long-time regime. Additionally, considering the energy cost for erasing the MD's memory required by Landauer's principle, there exists a threshold time that guarantees QSE to output positive work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14619 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite-Time Optimization of Quantum Szilard heat engine Zhou, Tan-Ji Ma, Yu-Han Sun, C. P. Quantum Physics Statistical Mechanics We propose a finite-time quantum Szilard engine (QSE) with a quantum particle with spin as the working substance (WS) to accelerate the operation of information engines. We introduce a Maxwell's demon (MD) to probe the spin state within a finite measurement time $t_{\rm M}$ to capture the which-way information of the particle, quantified by the mutual information $I(t_{\rm{M}})$ between WS and MD. We establish that the efficiency $η$ of QSE is bounded by $η\leq1-(1-η_{\rm{C}}){\rm ln}2/I(t_{\rm M})$, where $I(t_{\rm M})/\rm{ln}2$ characterizes the ideality of quantum measurement, and approaches $1$ for the Carnot efficiency reached under ideal measurement in quasi-static regime. We find that the power of QSE scales as $P\propto t_{\rm M}^{3}$ in the short-time regime and as $P\propto t_{\rm M}^{-1}$ in the long-time regime. Additionally, considering the energy cost for erasing the MD's memory required by Landauer's principle, there exists a threshold time that guarantees QSE to output positive work. |
| title | Finite-Time Optimization of Quantum Szilard heat engine |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2303.14619 |