Correlation-enhanced Stability of Microscopic Cyclic Heat Engines

Xu, Guo-Hua; Watanabe, Gentaro

doi:10.48550/arxiv.2111.09508

Cited by 3 publications

(9 citation statements)

References 65 publications

(84 reference statements)

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“…As shown before by Xu and Watanabe [43], a different behavior of single-cycle and long-time fluctuations is a result of correlations of the work generated in the successive cycles. Specifically, the long-time fluctuations are enhanced (reduced) by positive (negative) correlations.…”

Section: B Resultssupporting

confidence: 50%

“…However, as will be later discussed more thoroughly, the higher work cumulants may not grow linearly due to correlations of work generated in the successive cycles. In particular, the work variance grows sublinearly ( ∆w 2 N < N ∆w 2 1 ) for negative intercycle correlations while supralinearly ( ∆w 2 N > N ∆w 2 1 ) in the opposite case [43].…”

Section: A Methodsmentioning

confidence: 96%

“…So far, the paper focused on the average performance of heat engines. Let us now turn to another topic which received much attention in the recent years, namely, the work fluctuations [27][28][29][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. This field of investigation is related to the issue of stability of operation of heat engines: a good engine is expected to generate a well defined amount of work during a given time period, and thus, to minimize fluctuations.…”

Section: Work Fluctuationsmentioning

confidence: 99%

“…Studies in this area focused on topics such as fundamental resource-theoretic limits to the work extraction [4,5], engineering of optimal driving protocols [5][6][7][8], geometric approaches to thermodynamics [9][10][11] and the role of quantum coherence [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29], relativist effects [30] or cooperative coupling to the baths [31]. Apart from characterizing the mean behavior of such devices, fluctuations of thermodynamic quantities, which are non-negligible at the nanoscale, recently received much attention [32][33][34][35][36][37][38][39][40][41][42][43][44]. In particular, topics such as fluctuation theorems, characterizing the universal properties of fluctuations [45,46], or thermodynamic trade-offs between power, efficiency and stability of operation on nanoengines [27-29, 47, 48] have bee...…”

Section: Introductionmentioning

confidence: 99%

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Non-Markovian thermal operations boosting the performance of quantum heat engines

Ptaszyński

2022

Preprint

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It is investigated whether non-Markovianity, i.e., the memory effects resulting from the coupling of the system to its environment, can be beneficial for the performance of quantum heat engines. Specifically, two physical models are considered. The first one is a well known single-qubit Otto engine; the non-Markovian behaviour is there implemented by replacing standard thermalization strokes with so-called extremal thermal operations which cannot be realized without the memory effects. The second one is a three-stroke engine in which the cycle consists of two extremal thermal operations and a single qubit rotation. It is shown that the non-Markovian Otto engine can generate more work-per-cycle for a given efficiency than its Markovian counterpart, whereas performance of both setups is superior to the three-stroke engine. Furthermore, both the non-Markovian Otto engine and the three-stroke engine can reduce the work fluctuations in comparison with the Markovian Otto engine, with their relative advantage depending on the performance target. This demonstrates the beneficial influence of non-Markovianity on both the average performance and the stability of operation of quantum heat engines.

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Section: B Resultssupporting

confidence: 50%

Section: A Methodsmentioning

confidence: 96%

Section: Work Fluctuationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-Markovian thermal operations boosting the performance of quantum heat engines

Ptaszyński

2022

Preprint

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“…Heat engine in quantum dynamical field study has been pioneered by Scovil and Schulz-DuBois [1]. Replacing classical view to quantum view of thermodynamic gives significant impact to knowledge of heat engine models, such as solution for the fundamental restriction of thermodynamics in macro physics [2][3][4][5][6][7], as well as the study of micro control of adiabatic or particles behaviour in heat engine models [8][9][10][11][12][13][14]. Moreover, in quantum models, heat engine with adiabatic or isentropic process which require quasi-static process can be done in finite time.…”

Section: Introductionmentioning

confidence: 99%

Optimizations of Multilevel Quantum Heat Engine with N Noninteracting Fermions Based on Lenoir Cycle

Ade¹,

Sutantyo²,

Abdullah³

2021

Preprint

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We consider optimizations of Lenoir heat engine within a quantum dynamical field consisting of N noninteracting fermions trapped in multilevel infinite potential square-well. Fermions play role as working substance of the engine with each particle nested at different level of energy. We optimized this quantum heat engine model by analysing the physical parameter and deriving the optimum properties of the engine model. The model we investigated consists of one high-energy heat bath and one low-energy sink bath. Heat leakage occurs between these two bathes as expected will degenerate the efficiency of quantum heat engine model. The degeneration increased as we raised the constant parameter of heat leakage. We also obtained loop curves in dimensionless power vs. efficiency of the engine, which efficiency is explicitly affected by heat leakage, but in contrast for the power output. From the curves, we assured that the efficiency of the engine would go back to zero as we raised compression ratio of engine with leakage. Lastly, we checked Clausius relations for each model with various levels of heat leakage. We found that models with leakage have a reversible process on specific compression ratios for each variation of heat leakage. Nevertheless, the compression ratio has limitations because of the dQ/E > 0 after the reversible point, i.e. violates the Clausius relation.

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Relation between fluctuations and efficiency at maximum power for small heat engines

Xu¹,

Jiang²,

Minami³

et al. 2022

Preprint

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We study the ratio between the variances of work output and heat input, η (2) , for a class of four-stroke heat engines which covers various typical cycles. Recent studies on the upper and lower bounds of η (2) are based on the quasistatic limit and the linear response regime, respectively. We extend these relations to the finite-time regime within the endoreversible approximation. We consider the ratio η(2) MP at maximum power and find that the square of the Curzon-Ahlborn efficiency, η 2 CA , gives a good estimate of η(2)MP for the class of heat engines considered, i.e., η(2)CA . This resembles the situation where the Curzon-Ahlborn efficiency gives a good estimate of the efficiency at maximum power for various kinds of finite-time heat engines. Taking an overdamped Brownian particle in a harmonic potential as an example, we can realize such endoreversible small heat engines and give an expression of the cumulants of work output and heat input. The approximate relation η(2) MP ≃ η 2 CA is verified by numerical simulations. This relation also suggests a trade-off between the efficiency and the stability of finite-time heat engines at maximum power.

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Correlation-enhanced Stability of Microscopic Cyclic Heat Engines

Cited by 3 publications

References 65 publications

Non-Markovian thermal operations boosting the performance of quantum heat engines

Non-Markovian thermal operations boosting the performance of quantum heat engines

Optimizations of Multilevel Quantum Heat Engine with N Noninteracting Fermions Based on Lenoir Cycle

Relation between fluctuations and efficiency at maximum power for small heat engines

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