Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint

Chattopadhyay, Pritam; Mitra, Ayan; Paul, Goutam; Zarikas, Vasilios

doi:10.3390/e23040439

Cited by 14 publications

(5 citation statements)

References 76 publications

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“…As in the low-temperature regime, the quantum effects dominate. The restriction of the maximum number of bound states of the Morse potential can be greatly useful to realize the QZE in the low-temperature regime [46].…”

Section: Quantum Szilard Engine For a Single-particle In A Morse Pote...mentioning

confidence: 99%

Study of quantum Szilard engine for non-interacting bosons in fractional power-law potentials

Islam

2024

Phys. Scr.

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In this article, we have realized the quantum Szilard engine (QZE) for non-interacting bosons. We have adopted the Bose-Einstein statistics for this purpose. We have considered fractional power law potential for this purpose and have used the artifact of the quantization of energy. We have calculated the work and the efficiency for non-interacting bosons in fractional power potential. We have shown the dependence of the number of particles for the work and the efficiency. We also have realized the QZE for a single-particle in a Morse potential revealing how the depth of the potential impacts both work and efficiency. Furthermore, we have examined the influence of temperature and the anharmonicity parameter on the work. Finally, we have conducted a comparative analysis, considering both non-interacting bosons in a fractional power law potential and a single-particle in a Morse potential under harmonic approximation conditions.

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Section: Quantum Szilard Engine For a Single-particle In A Morse Pote...mentioning

confidence: 99%

Study of quantum Szilard engine for non-interacting bosons in fractional power-law potentials

Islam

2024

Phys. Scr.

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“…For example, in quantum Szilard engine [43], extracting work from a thermal reservoir is possible only by utilizing information acquired by a demon. However, in quantum Stirling engine whose working substance is the same as of the quantum Szilard engine, work is extracted without requirement to perform measurement and feedback of its result [46,47] (see also [48,49]), i.e. the presence of a demon is not necessary here as well as for the discussed modified refrigerator.…”

Section: Refrigeration By First Type Modified Otto Cyclementioning

confidence: 99%

Refrigeration by modified Otto cycles and modified swaps through generalized measurements

Behzadi

2024

J. Phys. A: Math. Theor.

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We introduce two types of thermodynamic refrigeration cycles obtained through modification of the Otto cycle refrigerator by a generalized measurement channel. These refrigerators are corresponding to the activation of the measurement-based stroke before (first type) and after (second type) the full thermalization of the cooling medium by the cold reservoir in the related familiar Otto cycle. We show that the coefficient of performance for the first type modified refrigerator increases linearly in terms of measurement strength parameter, beyond the classical cooling of the familiar Otto cycle refrigerator. The second type interestingly introduces an autonomous refrigerator whose supplying work is provided by a quantum engine induced by the measurement channel and operates simultaneously inside the modified cycle. By the considered measurement channel, we also establish such modifications on the swap refrigerator. It is observed that the thermodynamic properties of the obtained modified swap refrigerators are the same as of the modified Otto cycle ones respectively.

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“…Most of the cases that have been analyzed for understanding the generic thermodynamic features in quantum thermal machines do not exhibit any proper evidence of quantum advantage over their classical counterparts [44][45][46][47][48]. Among them, only a few analyze the quantum-enhanced machines specifically from the viewpoint of a single particle within a potential well, based on quantized energy levels [12,13,49,50]. On the other hand, many-particle quantum thermal machines were shown to outperform the classical counterparts using interacting Bose gases in a time-dependent harmonic trap and a tight waveguide [7,9].…”

Section: Introductionmentioning

confidence: 99%

Quantum Advantage of Thermal Machines with Bose and Fermi Gases

Sur

Ghosh

2023

Entropy

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In this article, we show that a quantum gas, a collection of massive, non-interacting, indistinguishable quantum particles, can be realized as a thermodynamic machine as an artifact of energy quantization and, hence, bears no classical analog. Such a thermodynamic machine depends on the statistics of the particles, the chemical potential, and the spatial dimension of the system. Our detailed analysis demonstrates the fundamental features of quantum Stirling cycles, from the viewpoint of particle statistics and system dimensions, that helps us to realize desired quantum heat engines and refrigerators by exploiting the role of quantum statistical mechanics. In particular, a clear distinction between the behavior of a Fermi gas and a Bose gas is observed in one dimension, rather than in higher dimensions, solely due to the innate differences in their particle statistics indicating the conspicuous role of a quantum thermodynamic signature in lower dimensions.

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Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint

Cited by 14 publications

References 76 publications

Study of quantum Szilard engine for non-interacting bosons in fractional power-law potentials

Study of quantum Szilard engine for non-interacting bosons in fractional power-law potentials

Refrigeration by modified Otto cycles and modified swaps through generalized measurements

Quantum Advantage of Thermal Machines with Bose and Fermi Gases

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