Quantum Szilard engine for the fractional power-law potentials

Aydıner, Ekrem

doi:10.1038/s41598-020-80639-w

Cited by 12 publications

(29 citation statements)

References 35 publications

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“…The classical and quantum version of the Szilard engine has been studied in detail theoretically and experimentally 1 – 24 . These studies prove that it is possible to set quantum Szilard heat engines which can extract positive work in nano-size without violate the second law of thermodynamics.…”

Section: Discussionmentioning

confidence: 99%

“…The presented model is the fractional box of length 2a containing a single molecule under infinite potential. To extract work, we consider the Stirling cycle which consists of four stages as well previous studies 23 , 24 . All stages and related physical quantities are obtained below.…”

Section: Stirling-like Thermodynamics Cyclementioning

confidence: 99%

“…More recently, a quantum Szilard engine model for the fractional potential has been studied 24 based on the previous model proposed by Thomas et al 23 . However, the quantum heat engines and information theory have not been comprehensively studied by using fractional methods in the literature so far.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, it is important to discuss and understand the role of fractional dynamics for the quantum heat engines. In the previous study 24 , it was obtained the work and efficiency of the model without using fractional calculus tools. However, in the present study, we discuss the fractional quantum Szilard engine as an example and we show that fractional exponent plays an important role in the work and efficiency.…”

Section: Introductionmentioning

confidence: 99%

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Space-fractional quantum heat engine based on level degeneracy

Aydıner

2021

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In order to examine the work and efficiency of the space-fractional quantum heat engine, we consider a model of the space-fractional quantum heat engine which has a Stirling-like cycle with a single particle under infinite potential well as an example. We numerically compute the work and efficiency for various fractional exponents. We show the work and the efficiency of the engine depending on the length of the potential well and fractional exponent of the engine. Furthermore, we show that fractional exponent plays a substantial role in the operating range of the quantum heat engine. Thus, we conclude that the fractional parameter can be used as a tuning parameter to obtain positive work and efficiency for the large size of the quantum heat engine. Additionally, the numerical results and model imply that the size of the engine can be enlarged in the nano-scale by using fractional deformations. As a result, in this study, we have not only shown that fractional deformations in space play an important role on the work and efficiency of the quantum heat engines but also introduced the concept of fractional quantum heat engines to the literature.

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Section: Discussionmentioning

confidence: 99%

Section: Stirling-like Thermodynamics Cyclementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Space-fractional quantum heat engine based on level degeneracy

Aydıner

2021

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“…The Szilard engine was initially described as a single molecule engine 8 , 34 , 35 . N ideal identical particles are placed in a box.…”

Section: Szilard Enginementioning

confidence: 99%

Extractable quantum work from a two-mode Gaussian state in a noisy channel

Cuzminschi

Zubarev

Исар

2021

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We study a Szilard engine based on a Gaussian state of a system consisting of two bosonic modes placed in a noisy channel. As the initial state of the system is taken an entangled squeezed thermal state, and the quantum work is extracted by performing a measurement on one of the two modes. We use the Markovian Kossakowski-Lindblad master equation for describing the time evolution of the open system and the quantum work definition based on the second order Rényi entropy to simulate the engine. We also study the information-work efficiency of the Szilard engine as a function of the system parameters. The efficiency is defined as the ratio of the extractable work averaged over the measurement angle and the erasure work, which is proportional to the information stored in the system. We show that the extractable quantum work increases with the temperature of the reservoir and the squeezing between the modes, average numbers of thermal photons and frequencies of the modes. The work increases also with the strength of the measurement, attaining the maximal values in the case of a heterodyne detection. The extractable work is decreasing by increasing the squeezing parameter of the noisy channel and it oscillates with the phase of the squeezed thermal reservoir. The efficiency mostly has a similar behavior with the extractable quantum work evolution. However information-work efficiency decreases with temperature, while the quantity of the extractable work increases.

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