Relativistic quantum heat engine from uncertainty relation standpoint

Chattopadhyay, Pritam; Paul, Goutam

doi:10.1038/s41598-019-53331-x

Cited by 26 publications

(13 citation statements)

References 66 publications

(65 reference statements)

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“…One can also analyze the effect of the NC parameter on the different thermodynamic variable. We can analyze this model from uncertainty viewpoint [23,24,31] to reduce the cost for the analysis of the cycles. Along with that, it will be interesting to explore the experimental realization of these cycles in NC space.…”

Section: Discussionmentioning

confidence: 99%

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Non-commutative space: boon or bane for quantum engines and refrigerators

Chattopadhyay

2020

Eur. Phys. J. Plus

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Various quantum systems are considered as the working substance for the analysis of quantum heat cycles and quantum refrigerators. For example, one can consider harmonic oscillator as a working substance for the Carnot cycle to evaluate the efficiency and work of the engine. Even one can explore the coefficient of performance for the refrigerators by implementing a harmonic oscillator as a working substance for different cycles. However, for all these methods the efficiency of the engines cannot exceed the Carnot efficiency. So, a question arises whether a change in the space structure can provide any boost for the quantum engines and the refrigerators. Here, in this paper, we have studied the efficiency of the heat engine cycle and the coefficient of performance of the refrigerator cycles in the non-commutative space. The efficiency of the quantum heat engines gets a boost with the change in the space structure than the traditional quantum heat engine but the effectiveness of the noncommutative parameter is less for the efficiency compared to the coefficient of performance of the refrigerator. There is a steep boost for the coefficient of performance of the refrigerator cycles for the non-commutative space a harmonic oscillator compared to the harmonic oscillator.

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Section: Discussionmentioning

confidence: 99%

“…We will analyze the well known Stirling cycle with non commutating harmonic oscillator as the working substance. The four-stages of the Stirling cycle [20][21][22][23][24] (Fig. (1)) is as follows:…”

Section: Quantum Stirling Cycle In Non-commutative Spacementioning

confidence: 99%

Non-commutative space: boon or bane for quantum engines and refrigerators

Chattopadhyay

2020

Eur. Phys. J. Plus

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“…A Stirling cycle [47][48][49][50][51][52], which is an example of a discrete engine is a four-stroke engine that comprises of two isothermal processes and two isochoric processes. It is a reversible In the quantum realm, the engine is modeled by different working substances like a 1-D potential well, harmonic oscillator, etc.…”

Section: Stirling Cycle With Coupled Harmonic Oscillatormentioning

confidence: 99%

Non-commutative space engine: a boost to thermodynamic processes

Pandit,

Chattopadhyay,

Paul

2019

Preprint

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We introduce quantum heat engines that perform quantum Otto cycle and the quantum Stirling cycle by using a coupled harmonic oscillator as its working substance. In the quantum regime, different working medium is considered for the analysis of the engine models to boost the efficiency of the cycles. In this work, we present Otto and Stirling cycle in the quantum realm where the phase space is non-commutative in nature. By using the notion of quantum thermodynamics we develop the thermodynamic variables in non-commutative phase space. We encounter a catalytic effect on the efficiency of the engine in non-commutative space (i.e, we encounter that the Stirling cycle reaches near to the efficiency of the ideal cycle) when compared with the commutative space. Moreover, we obtained a notion that the working medium is much more effective for the analysis of the Stirling cycle than that of the Otto cycle.

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“…The thorough analysis performed in this work is done in the nonrelativistic limit. A parallel analysis in the relativistic limit is analyzed in our work [ 39 ]. During the evolution of quantum information, the essence and importance of uncertainty relation in technology got enriched.…”

Section: Introductionmentioning

confidence: 99%

Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint

Chattopadhyay

Mitra

Paul

et al. 2021

Entropy

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Quantum cycles in established heat engines can be modeled with various quantum systems as working substances. For example, a heat engine can be modeled with an infinite potential well as the working substance to determine the efficiency and work done. However, in this method, the relationship between the quantum observables and the physically measurable parameters—i.e., the efficiency and work done—is not well understood from the quantum mechanics approach. A detailed analysis is needed to link the thermodynamic variables (on which the efficiency and work done depends) with the uncertainty principle for better understanding. Here, we present the connection of the sum uncertainty relation of position and momentum operators with thermodynamic variables in the quantum heat engine model. We are able to determine the upper and lower bounds on the efficiency of the heat engine through the uncertainty relation.

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Relativistic quantum heat engine from uncertainty relation standpoint

Cited by 26 publications

References 66 publications

Non-commutative space: boon or bane for quantum engines and refrigerators

Non-commutative space: boon or bane for quantum engines and refrigerators

Non-commutative space engine: a boost to thermodynamic processes

Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint

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