Performance of quantum Stirling heat engine with numerous copies of extreme relativistic particles confined in 1D potential well

Yin, You; Chen, Lingen; Wu, Feng

doi:10.1016/j.physa.2018.02.202

Cited by 22 publications

(11 citation statements)

References 74 publications

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“…The same has been shown to be true for the work distribution in relativistic quantum systems [60]. Recent works have examined quantum heat engine cycles for a relativistic fermion in a square well potential [61][62][63], and a non-relativistic working medium interacting with a relativsitic bath [64]. Heat engine implementations in Dirac materials such as graphene have also been proposed [52,[65][66][67].…”

Section: Introductionmentioning

confidence: 74%

Quantum Otto engines at relativistic energies

Myers,

Abah,

Deffner

2021

Preprint

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Relativistic quantum systems exhibit unique features not present at lower energies, such as the existence of both particles and antiparticles, and restrictions placed on the system dynamics due to the light cone. In order to understand what impact these relativistic phenomena have on the performance of quantum thermal machines we analyze a quantum Otto engine with a working medium of a relativistic particle in an oscillator potential evolving under Dirac or Klein-Gordon dynamics. We examine both the low-temperature, non-relativistic and high-temperature, relativistic limits of the dynamics and find that the relativistic engine operates with higher work output, but an effectively reduced compression ratio, leading to significantly smaller efficiency than its nonrelativistic counterpart. Using the framework of endoreversible thermodynamics we determine the efficiency at maximum power of the relativistic engine, and find it to be equivalent to the Curzon-Ahlborn efficiency.

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Section: Introductionmentioning

confidence: 74%

Quantum Otto engines at relativistic energies

Myers,

Abah,

Deffner

2021

Preprint

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“…[73] The aim of this paper is to study the performance of a QHE in which the working medium interacts with a pure cold reservoir and a squeezed thermal reservoir. [74][75][76] In particular, we analyze the quantum equivalent of the classical Stirling cycle [77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92] in which the hot reservoir is replaced by a thermal squeezed reservoir. We observe that the squeezing parameter r h improves the performance of a QSHE, especially when the ratio of the temperatures of the hot and cold reservoirs is small, which means that the engine has less energetic cost.…”

Section: Introduction 1motivationmentioning

confidence: 99%

Quantum Stirling heat engine with squeezed thermal reservoir

Papadatos

2023

Chinese Phys. B

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We analyze the performance of a quantum Stirling heat engine (QSHE), using a two level system and the harmonic oscillator as the working medium, that contacts with a squeezed thermal reservoir and a cold reservoir. First, we derive closed-form expressions for the produced work and efficiency which strongly depends on the squeezing parameter $r_h$. Then, we prove that the effect of squeezing heats the working medium to a higher effective temperature which leads to better overall performance. In particular, the efficiency increases with the degree of squeezing surpassing the standard Carnot limit, when the ratio of temperatures of hot and cold reservoir is small. Furthermore, we derive the analytical expressions for the efficiency at maximum work and the maximum produced work in the high and low temperature regime and we find that at extreme temperatures the squeezing parameter $r_h$ does not affect the performance of the QSHE. Finally, the performance of the QSHE depends on the nature of the working medium.

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“…In addition, more genres of WM have been considered and studied recently [ 50 , 51 , 52 , 53 , 54 , 55 , 56 ]. To date, the research on quantum thermodynamic cycles has mainly focused on the optimal path and optimal performance in one-stage HEs, including Carnot HEs [ 37 , 38 , 39 , 44 , 55 , 56 , 57 , 58 ], Brayton HEs [ 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 ], Otto HEs [ 46 , 67 , 68 , 69 , 70 , 71 , 72 , 73 , 74 , 75 , 76 ], Stirling HEs [ 45 , 77 , 78 , 79 , 80 , 81 ], and other HEs and systems [ 43 , 82 , 83 , 84 , 85 , 86 , 87 ]. Different optimization objects and different WMs, from endoreversible to irreversible QHE cycles, were also focused on; see the review articles [ 88 , 89 , 90 , 91 , 92 ].…”

Section: Introductionmentioning

confidence: 99%

Optimal Power and Efficiency of Multi-Stage Endoreversible Quantum Carnot Heat Engine with Harmonic Oscillators at the Classical Limit

Meng

Chen

2020

Entropy

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At the classical limit, a multi-stage, endoreversible Carnot cycle model of quantum heat engine (QHE) working with non-interacting harmonic oscillators systems is established in this paper. A simplified combined cycle, where all sub-cycles work at maximum power output (MPO), is analyzed under two types of combined form: constraint of cycle period or constraint of interstage heat current. The expressions of power and the corresponding efficiency under two types of combined constrains are derived. A general combined cycle, in which all sub-cycles run at arbitrary state, is further investigated under two types of combined constrains. By introducing the Lagrangian function, the MPO of two-stage combined QHE with different intermediate temperatures is obtained, utilizing numerical calculation. The results show that, for the simplified combined cycle, the total power decreases and heat exchange from hot reservoir increases under two types of constrains with the increasing number (N) of stages. The efficiency of the combined cycle decreases under the constraints of the cycle period, but keeps constant under the constraint of interstage heat current. For the general combined cycle, three operating modes, including single heat engine mode at low “temperature” (SM1), double heat engine mode (DM) and single heat engine mode at high “temperature” (SM2), appear as intermediate temperature varies. For the constraint of cycle period, the MPO is obtained at the junction of DM mode and SM2 mode. For the constraint of interstage heat current, the MPO keeps constant during DM mode, in which the two sub-cycles compensate each other.

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Performance of quantum Stirling heat engine with numerous copies of extreme relativistic particles confined in 1D potential well

Cited by 22 publications

References 74 publications

Quantum Otto engines at relativistic energies

Quantum Otto engines at relativistic energies

Quantum Stirling heat engine with squeezed thermal reservoir

Optimal Power and Efficiency of Multi-Stage Endoreversible Quantum Carnot Heat Engine with Harmonic Oscillators at the Classical Limit

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