Fluctuations in irreversible quantum Otto engines

Jiao, Guangqian; Zhu, Shou-Bao; He, Jizhou; Ma, Yongli; Wang, Jianhui

doi:10.1103/physreve.103.032130

Cited by 12 publications

(12 citation statements)

References 54 publications

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“…For a comprehensive discussion of notions such as quantum work [188][189][190] and their corresponding fluctuation theorems we refer to the literature 12,191 . For our present purposes it is interesting to note that similar consideration were published in the context of engine cycles [192][193][194][195][196][197] .…”

Section: E Fluctuations In Finite-time Quantum Enginesmentioning

confidence: 67%

See 1 more Smart Citation

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Myers,

Abah,

Deffner

2022

Preprint

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Section: E Fluctuations In Finite-time Quantum Enginesmentioning

confidence: 67%

“…The study of fluctuations for finite-time quantum heat engines has been attracting some attention mainly focused on two-level systems or harmonic oscillators 196,197,[199][200][201] . However, its stands to reason that interesting physics is encoded in the fluctuations of any working medium.…”

Section: E Fluctuations In Finite-time Quantum Enginesmentioning

confidence: 99%

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Myers,

Abah,

Deffner

2022

Preprint

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show abstract

“…Since the times taken for the thermal contacts and driven strokes are finite, the quantum coherence and quantum friction are created, resulting that the efficiency (21) depends not only on the inner friction but also on the coherence. If quantum coherence is negligible (ζ ch,hc → 0), the efficiency reduces to the one [36],…”

Section: (B)] Respectivelymentioning

confidence: 99%

“…For a finite-time unitary driving, the irreversible work comes from not only the coherence but also the incoherent transitions among the energy levels [27]. A growing interest has been attracted in understanding the thermodynamic implication of the cyclic quantum thermal machine in which unitary driving strokes are involved [4,[32][33][34][35][36][37]. These studies showed the finite-time performance of the intrinsically irreversible quantum heat engines, and also revealed the deep connection between coherence and quantum friction responsible for the diabatic transitions [4].…”

Section: Introductionmentioning

confidence: 99%

Finite-time quantum Otto engine with a squeezed thermal bath: Role of quantum coherence and squeezing in the performance and fluctuations

Xiao¹,

Liu²,

He³

et al. 2022

Preprint

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We consider a finite-time quantum Otto heat engine that consists of two isochoric (thermalcontact) process, where the system is alternatively coupled to a hot squeezed and a cold thermal reservoir, and two unitary driven strokes, where the system is isolated from these two baths and its von Neumann entropy keeps constant. Both quantum inner friction and coherence are generated along the driven stroke and coherence cannot be fully erased after the finite-time hot isochore. Using full counting statistics, we present the probability distribution functions of heat injection and total work per cycle, which are dependent on the time duration along each process. With these, we derive the analytical expressions for the thermodynamic quantities of the two-level heat engine, such as total work, thermodynamic efficiency, entropy production, and work fluctuations, in which effects of coherence, squeezing, inner friction and finite-time heat exchange are included. We then numerically determine the thermodynamic quantities and the fluctuations using the parameters employed in the experimental implementation. Our results clarify the role of coherence and squeezing in the performance and fluctuations in the quantum Otto engines.

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“…The accord between quantum mechanics and thermodynamics is yet to fully unfold [ 1 , 2 , 3 ]. Its fundamental implications have inspired numerous proposals for thermal machines based on quantum working media [ 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 ]. Two major issues which are addressed in such proposals are as follows: What are the performance bounds of heat engines working in quantum regime and what are the thermodynamic properties of these quantum systems which control these bounds?…”

Section: Introductionmentioning

confidence: 99%

Quantum Heat Engines with Complex Working Media, Complete Otto Cycles and Heuristics

Johal

Mehta

2021

Entropy

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Quantum thermal machines make use of non-classical thermodynamic resources, one of which include interactions between elements of the quantum working medium. In this paper, we examine the performance of a quasi-static quantum Otto engine based on two spins of arbitrary magnitudes subject to an external magnetic field and coupled via an isotropic Heisenberg exchange interaction. It has been shown earlier that the said interaction provides an enhancement of cycle efficiency, with an upper bound that is tighter than the Carnot efficiency. However, the necessary conditions governing engine performance and the relevant upper bound for efficiency are unknown for the general case of arbitrary spin magnitudes. By analyzing extreme case scenarios, we formulate heuristics to infer the necessary conditions for an engine with uncoupled as well as coupled spin model. These conditions lead us to a connection between performance of quantum heat engines and the notion of majorization. Furthermore, the study of complete Otto cycles inherent in the average cycle also yields interesting insights into the average performance.

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Fluctuations in irreversible quantum Otto engines

Cited by 12 publications

References 54 publications

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Finite-time quantum Otto engine with a squeezed thermal bath: Role of quantum coherence and squeezing in the performance and fluctuations

Quantum Heat Engines with Complex Working Media, Complete Otto Cycles and Heuristics

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