A self-contained quantum harmonic engine

Reid, Brendan N.; Pigeon, Simon; Antezza, Mauro; Chiara, Gabriele De

doi:10.1209/0295-5075/120/60006

Cited by 32 publications

(24 citation statements)

References 65 publications

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“…The theoretical modeling of such devices usually involves the system in contact with equilibrium uncorrelated baths at different temperatures. However, some papers have generalized this picture to nonequilibrium reservoirs [14][15][16][17][18][19][20][21], including the case of the Otto engine in contact with squeezed reservoirs [22][23][24][25], which can lead to efficiencies and performances beyond the Otto and Carnot limit. This conclusion, obviously, does not take into account the cost of maintaining a nonequilibrium reservoir which is then considered as a free resource but shows how to best employ these resources (see also Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum machines powered by correlated baths

Chiara

Antezza

2020

Phys. Rev. Research

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We consider thermal machines powered by locally equilibrium reservoirs that share classical or quantum correlations. The reservoirs are modeled by the so-called collisional model or repeated interactions model. In our framework, two reservoir particles, initially prepared in a thermal state, are correlated through a unitary transformation and afterward interact locally with the two quantum subsystems which form the working fluid. For a particular class of unitaries, we show how the transformation applied to the reservoir particles affects the amount of heat transferred and the work produced. We then compute the distribution of heat and work when the unitary is chosen randomly, proving that the total swap transformation is the optimal one. Finally, we analyze the performance of the machines in terms of classical and quantum correlations established among the microscopic constituents of the machine.

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Section: Introductionmentioning

confidence: 99%

Quantum machines powered by correlated baths

Chiara

Antezza

2020

Phys. Rev. Research

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“…It is known that the size of the thermal bath introduces correction terms in the second law of thermodynamics [30], and imposes limitations on thermodynamic operations such as cooling [31][32][33]. Similarly, several works have analysed the finitesize effects of the thermal bath on the performance of heat engines [34][35][36][37][38]. However, these studies have understood the size of the thermal bath to be the number of particles that constitute it, the volume of the bath, or the heat capacity of the bath.…”

Section: Introductionmentioning

confidence: 99%

Efficiency of a cyclic quantum heat engine with finite-size baths

Mohammady

Romito

2019

Phys. Rev. E

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In this paper we investigate the relationship between the efficiency of a cyclic quantum heat engine with the Hilbert space dimension of the thermal baths. By means of a general inequality, we show that the Carnot efficiency can be obtained only when both the hot and cold baths are infinitely large. By further introducing a specific model where the baths are constituted of ensembles of finite-dimensional particles, we further demonstrate the relationship between the engine's power and efficiency, with the dimension of the working substance and the bath particles. arXiv:1902.09378v2 [quant-ph] 16 Jul 2019 be the Carnot efficiency when both hot and cold baths are small, finite-dimensional systems. GENERAL CONSTRAINTS ON WORK EXTRACTION AND EFFICIENCY

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“…In this cycle, the results of the efficiency depend on the nature of the working substance (through its energy spectrum) and the contributions of work and heat are separate in its stages, which facilitates theoretical modelling. These characteristics favor its extension to its quantum version, which has been studied extensively in recent years [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ].…”

Section: Introductionmentioning

confidence: 99%

Otto Engine: Classical and Quantum Approach

Peña

Negrete

Cortés

et al. 2020

Entropy

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In this paper, we analyze the total work extracted and the efficiency of the magnetic Otto cycle in its classic and quantum versions. As a general result, we found that the work and efficiency of the classical engine is always greater than or equal to its quantum counterpart, independent of the working substance. In the classical case, this is due to the fact that the working substance is always in thermodynamic equilibrium at each point of the cycle, maximizing the energy extracted in the adiabatic paths. We apply this analysis to the case of a two-level system, finding that the work and efficiency in both the Otto’s quantum and classical cycles are identical, regardless of the working substance, and we obtain similar results for a multilevel system where a linear relationship between the spectrum of energies of the working substance and the external magnetic field is fulfilled. Finally, we show an example of a three-level system in which we compare two zones in the entropy diagram as a function of temperature and magnetic field to find which is the most efficient region when performing a thermodynamic cycle. This work provides a practical way to look for temperature and magnetic field zones in the entropy diagram that can maximize the power extracted from an Otto magnetic engine.

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A self-contained quantum harmonic engine

Cited by 32 publications

References 65 publications

Quantum machines powered by correlated baths

Quantum machines powered by correlated baths

Efficiency of a cyclic quantum heat engine with finite-size baths

Otto Engine: Classical and Quantum Approach

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