Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach

We studied the performance of classical and quantum magnetic Otto cycle with a working substance composed of a single quantum dot using the Fock−Darwin model with the inclusion of the Zeeman interaction. Modulating an external/perpendicular magnetic field, in the classical approach, we fou...

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Main Authors: Francisco J. Peña, Oscar Negrete, Gabriel Alvarado Barrios, David Zambrano, Alejandro González, Alvaro S. Nunez, Pedro A. Orellana, Patricio Vargas
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/5/512
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author Francisco J. Peña
Oscar Negrete
Gabriel Alvarado Barrios
David Zambrano
Alejandro González
Alvaro S. Nunez
Pedro A. Orellana
Patricio Vargas
author_facet Francisco J. Peña
Oscar Negrete
Gabriel Alvarado Barrios
David Zambrano
Alejandro González
Alvaro S. Nunez
Pedro A. Orellana
Patricio Vargas
author_sort Francisco J. Peña
collection DOAJ
description We studied the performance of classical and quantum magnetic Otto cycle with a working substance composed of a single quantum dot using the Fock−Darwin model with the inclusion of the Zeeman interaction. Modulating an external/perpendicular magnetic field, in the classical approach, we found an oscillating behavior in the total work extracted that was not present in the quantum formulation.We found that, in the classical approach, the engine yielded a greater performance in terms of total work extracted and efficiency than when compared with the quantum approach. This is because, in the classical case, the working substance can be in thermal equilibrium at each point of the cycle, which maximizes the energy extracted in the adiabatic strokes.
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spelling doaj.art-3ae80b396c9745499e524c7174742b892022-12-22T04:19:54ZengMDPI AGEntropy1099-43002019-05-0121551210.3390/e21050512e21050512Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum ApproachFrancisco J. Peña0Oscar Negrete1Gabriel Alvarado Barrios2David Zambrano3Alejandro González4Alvaro S. Nunez5Pedro A. Orellana6Patricio Vargas7Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, 2390123 Valparaíso, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, 2390123 Valparaíso, ChileDepartamento de Física, Universidad de Santiago de Chile (USACH), Avenida Ecuador 3493, 9170022 Santiago, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, 2390123 Valparaíso, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, 2390123 Valparaíso, ChileCentro para el Desarrollo de la Nanociencia y la Nanotecnología, 8320000 Santiago, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, 2390123 Valparaíso, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, 2390123 Valparaíso, ChileWe studied the performance of classical and quantum magnetic Otto cycle with a working substance composed of a single quantum dot using the Fock−Darwin model with the inclusion of the Zeeman interaction. Modulating an external/perpendicular magnetic field, in the classical approach, we found an oscillating behavior in the total work extracted that was not present in the quantum formulation.We found that, in the classical approach, the engine yielded a greater performance in terms of total work extracted and efficiency than when compared with the quantum approach. This is because, in the classical case, the working substance can be in thermal equilibrium at each point of the cycle, which maximizes the energy extracted in the adiabatic strokes.https://www.mdpi.com/1099-4300/21/5/512magnetic cyclequantum otto cyclequantum thermodynamics
spellingShingle Francisco J. Peña
Oscar Negrete
Gabriel Alvarado Barrios
David Zambrano
Alejandro González
Alvaro S. Nunez
Pedro A. Orellana
Patricio Vargas
Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach
Entropy
magnetic cycle
quantum otto cycle
quantum thermodynamics
title Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach
title_full Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach
title_fullStr Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach
title_full_unstemmed Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach
title_short Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach
title_sort magnetic otto engine for an electron in a quantum dot classical and quantum approach
topic magnetic cycle
quantum otto cycle
quantum thermodynamics
url https://www.mdpi.com/1099-4300/21/5/512
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