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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2412.18476 |
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| _version_ | 1866915249532174336 |
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| author | Kaur, Kirandeep |
| author_facet | Kaur, Kirandeep |
| contents | In this work, we study the effect of noise-induced coherence on the performance analysis of a degenerate four-level quantum heat engine with particular focus on the universal nature of efficiency, which refers to the appearance of the first two universal terms $η_C/2$ and $η_C^2/8$ in series expansion of the efficiency at maximum power under a left-right symmetry in the system. Firstly, for a two-parameter optimization scheme, we derive an analytic expression for the efficiency at maximum power for the near-equilibrium condition and show that presence of noise-induced coherence breaks the left-right symmetry of the system. However, when the operation of the engine is restricted to either high-temperature or low-temperature regime, we discuss the conditions under which the left-right symmetry can be retained in each case, giving rise to the universal characteristic of efficiency. In case of one-parameter optimization, we show that while the universality of the first linear term $η_c/2$ is robust and holds consistently across all conditions, the universality of the quadratic term $η_C^2/8$ depends on the constraints imposed on the control parameters. Finally, we examine the behavior of power as a function of noise-induced coherence parameter highlighting the role of matter-field coupling in determining the suitable operation regime for the heat engine to reap the benefits of noise-induced coherence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effects of noise-induced coherence on the performance of a four-level laser heat engine Kaur, Kirandeep Quantum Physics Statistical Mechanics In this work, we study the effect of noise-induced coherence on the performance analysis of a degenerate four-level quantum heat engine with particular focus on the universal nature of efficiency, which refers to the appearance of the first two universal terms $η_C/2$ and $η_C^2/8$ in series expansion of the efficiency at maximum power under a left-right symmetry in the system. Firstly, for a two-parameter optimization scheme, we derive an analytic expression for the efficiency at maximum power for the near-equilibrium condition and show that presence of noise-induced coherence breaks the left-right symmetry of the system. However, when the operation of the engine is restricted to either high-temperature or low-temperature regime, we discuss the conditions under which the left-right symmetry can be retained in each case, giving rise to the universal characteristic of efficiency. In case of one-parameter optimization, we show that while the universality of the first linear term $η_c/2$ is robust and holds consistently across all conditions, the universality of the quadratic term $η_C^2/8$ depends on the constraints imposed on the control parameters. Finally, we examine the behavior of power as a function of noise-induced coherence parameter highlighting the role of matter-field coupling in determining the suitable operation regime for the heat engine to reap the benefits of noise-induced coherence. |
| title | Effects of noise-induced coherence on the performance of a four-level laser heat engine |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2412.18476 |