scholarly journals Relativistic quantum heat engine from uncertainty relation standpoint

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Pritam Chattopadhyay ◽  
Goutam Paul
Keyword(s):  
Uncertainty Relation ◽  
Relativistic Quantum ◽  
Heat Engine ◽  
Potential Well ◽  
Relativistic Case ◽  
Heat Engines ◽  
Quantum Heat Engine ◽  
Thermodynamic Variables ◽  
The One ◽  
Work Done

AbstractEstablished heat engines in quantum regime can be modeled with various quantum systems as working substances. For example, in the non-relativistic case, we can model the heat engine using infinite potential well as a working substance to evaluate the efficiency and work done of the engine. Here, we propose quantum heat engine with a relativistic particle confined in the one-dimensional potential well as working substance. The cycle comprises of two isothermal processes and two potential well processes of equal width, which forms the quantum counterpart of the known isochoric process in classical nature. For a concrete interpretation about the relation between the quantum observables with the physically measurable parameters (like the efficiency and work done), we develop a link between the thermodynamic variables and the uncertainty relation. We have used this model to explore the work extraction and the efficiency of the heat engine for a relativistic case from the standpoint of uncertainty relation, where the incompatible observables are the position and the momentum operators. We are able to determine the bounds (the upper and the lower bounds) of the efficiency of the heat engine through the thermal uncertainty relation.

scholarly journals Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 439
Author(s):  
Pritam Chattopadhyay ◽  
Ayan Mitra ◽  
Goutam Paul ◽  
Vasilios Zarikas
Keyword(s):  
Uncertainty Relation ◽  
Heat Engine ◽  
Upper And Lower Bounds ◽  
Engine Model ◽  
Heat Engines ◽  
Quantum Heat Engine ◽  
Quantum Observables ◽  
Thermodynamic Variables ◽  
Work Done ◽  
The Relationship

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.

scholarly journals Bound on Efficiency of Heat Engine From Uncertainty Relation Viewpoint

2021 ◽  
Author(s):  
Ayan Mitra ◽  
Pritam Chattapadhyay ◽  
Goutam Paul ◽  
Vasilios Zarikas
Keyword(s):  
Uncertainty Relation ◽  
Heat Engine ◽  
Upper And Lower Bounds ◽  
Engine Model ◽  
Heat Engines ◽  
Quantum Heat Engine ◽  
Quantum Observables ◽  
Thermodynamic Variables ◽  
Work Done ◽  
The Relationship

Abstract Quantum cycles in established heat engines can be modeled with various quantum systems as working substances. As for example, 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 thermodynamical variables (on which the efficiency and work done depends) with the uncertainty principle for better understanding. Here, we present the connection of 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 uncertainty relation.

scholarly journals Space-fractional quantum heat engine based on level degeneracy

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ekrem Aydiner
Keyword(s):  
Heat Engine ◽  
Tuning Parameter ◽  
Potential Well ◽  
Fractional Quantum ◽  
Heat Engines ◽  
Quantum Heat Engine ◽  
Large Size ◽  
Level Degeneracy ◽  
Infinite Potential Well ◽  
Quantum Heat Engines

AbstractIn 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.

Laser cooling of electrons and X-ray generation in a relativistic quantum heat engine

Laser Physics ◽  
2007 ◽  
Vol 17 (8) ◽  
pp. 1073-1076
Author(s):  
V. V. Arutyunyan ◽  
N. Sh. Izmailyan ◽  
K. B. Oganesyan ◽  
K. G. Petrosyan ◽  
C. K. Hu
Keyword(s):  
Laser Cooling ◽  
Relativistic Quantum ◽  
Heat Engine ◽  
X Ray ◽  
Quantum Heat Engine

scholarly journals Entropy Exchange and Thermodynamic Properties of the Single Ion Cooling Process

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 650
Author(s):  
Jian-Guo Miao ◽  
Chun-Wang Wu ◽  
Wei Wu ◽  
Ping-Xing Chen
Keyword(s):  
Thermodynamic Properties ◽  
Heat Engine ◽  
Entropy Change ◽  
Quantum Thermodynamics ◽  
Cooling Process ◽  
Cooling Cycle ◽  
Heat Engines ◽  
Quantum Heat Engine ◽  
Ion Cooling ◽  
Complete Quantum

A complete quantum cooling cycle may be a useful platform for studying quantum thermodynamics just as the quantum heat engine does. Entropy change is an important feature which can help us to investigate the thermodynamic properties of the single ion cooling process. Here, we analyze the entropy change of the ion and laser field in the single ion cooling cycle by generalizing the idea in Reference (Phys. Rev. Lett. 2015, 114, 043002) to a single ion system. Thermodynamic properties of the single ion cooling process are discussed and it is shown that the Second and Third Laws of Thermodynamics are still strictly held in the quantum cooling process. Our results suggest that quantum cooling cycles are also candidates for the investigation on quantum thermodynamics besides quantum heat engines.

scholarly journals Two Scenarios on the Relativistic Quantum Heat Engine

2016 ◽  
Vol 04 (07) ◽  
pp. 1344-1353 ◽  
Author(s):  
Agus Purwanto ◽  
Heru Sukamto ◽  
Bintoro Anang Subagyo ◽  
Muhammad Taufiqi
Keyword(s):  
Relativistic Quantum ◽  
Heat Engine ◽  
Quantum Heat Engine

Quantum Optomechanics Thermodynamics and Heat Engines

2020 ◽  
pp. 399-450
Author(s):  
Pierre Meystre
Keyword(s):  
Thermal Noise ◽  
Heat Engine ◽  
Experimental Tests ◽  
Heat Pumps ◽  
Quantum Mechanical ◽  
Quantum Thermodynamics ◽  
Heat Engines ◽  
Quantum Heat Engine ◽  
Quantum Optomechanics ◽  
Thermodynamic Processes

This chapter addresses topics in quantum thermodynamics, where optomechanics may contribute attractive experimental tests and additional understanding. Quantum thermodynamics can be defined as the study of thermodynamics when quantum mechanical noise coexists with thermal noise and has a significant impact on the dynamics. This chapter focuses on the example of an optomechanical quantum heat engine (QHE). Section 11.2 reviews some questions about quantum work. Section 11.3 then outlines the steps leading to the formulation of continuous measurements in terms of stochastic Schrödinger equations. Section 11.4 reviews the main characteristics of QHE, comparing thermodynamic processes and engine cycles in the classical and quantum regimes. The opportunities offered by quasiparticles in the operation of QHE justify reviewing their properties in some detail (section 11.5), before introducing the optomechanical QHE system (section 11.6). Section 11.7 discusses the properties of the engine, and section 11.8 expands the discussion to polariton based quantum heat pumps.

scholarly journals Attaining Carnot efficiency with quantum and nanoscale heat engines

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Mohit Lal Bera ◽  
Maciej Lewenstein ◽  
Manabendra Nath Bera
Keyword(s):  
Extraction Efficiency ◽  
Heat Engine ◽  
Finite Size ◽  
Resource Theory ◽  
Step Cycle ◽  
Size Regime ◽  
Heat Engines ◽  
Quantum Particles ◽  
One Step ◽  
The One

AbstractA heat engine operating in the one-shot finite-size regime, where systems composed of a small number of quantum particles interact with hot and cold baths and are restricted to one-shot measurements, delivers fluctuating work. Further, engines with lesser fluctuation produce a lesser amount of deterministic work. Hence, the heat-to-work conversion efficiency stays well below the Carnot efficiency. Here we overcome this limitation and attain Carnot efficiency in the one-shot finite-size regime, where the engines allow the working systems to simultaneously interact with two baths via the semi-local thermal operations and reversibly operate in a one-step cycle. These engines are superior to the ones considered earlier in work extraction efficiency, and, even, are capable of converting heat into work by exclusively utilizing inter-system correlations. We formulate a resource theory for quantum heat engines to prove the results.

Quantum Tunneling

2017 ◽  
Author(s):  
Frank S. Levin
Keyword(s):  
Quantum Tunneling ◽  
Alpha Particles ◽  
Attractive Potential ◽  
Scanning Tunneling ◽  
Finite Width ◽  
Potential Well ◽  
Surface Molecules ◽  
Repulsive Coulomb ◽  
The Subject ◽  
The One

Quantum tunneling, wherein a quanject has a non-zero probability of tunneling into and then exiting a barrier of finite width and height, is the subject of Chapter 13. The description for the one-dimensional case is extended to the barrier being inverted, which forms an attractive potential well. The first application of this analysis is to the emission of alpha particles from the decay of radioactive nuclei, where the alpha-nucleus attraction is modeled by a potential well and the barrier is the repulsive Coulomb potential. Excellent results are obtained. Ditto for the similar analysis of proton burning in stars and yet a different analysis that explains tunneling through a Josephson junction, the connector between two superconductors. The final application is to the scanning tunneling microscope, a device that allows the microscopic surfaces of solids to be mapped via electrons from the surface molecules tunneling into the tip of the STM probe.

Sign in / Sign up

Export Citation Format

Share Document