Performance of Quantum Heat Engines Enhanced by Adiabatic Deformation of Trapping Potential

We present a quantum Otto engine model alternatively driven by a hot and a cold heat reservoir and consisting of two isochoric and two adiabatic strokes, where the adiabatic expansion or compression is realized by adiabatically changing the shape of the potential. Here, we show that such an adiabati...

Full description

Bibliographic Details
Published in:Entropy
Main Authors: Yang Xiao, Kai Li, Jizhou He, Jianhui Wang
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/3/484
Description
Summary:We present a quantum Otto engine model alternatively driven by a hot and a cold heat reservoir and consisting of two isochoric and two adiabatic strokes, where the adiabatic expansion or compression is realized by adiabatically changing the shape of the potential. Here, we show that such an adiabatic deformation may alter operation mode and enhance machine performance by increasing output work and efficiency, even with the advantage of decreasing work fluctuations. If the heat engine in the sudden limit operates under maximal power by optimizing the control parameter, the efficiency shows certain universal behavior, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>η</mi><mo>*</mo></msup><mo>=</mo><msub><mi>η</mi><mi>C</mi></msub><mo>/</mo><mn>2</mn><mo>+</mo><msubsup><mi>η</mi><mi>C</mi><mn>2</mn></msubsup><mo>/</mo><mn>8</mn><mo>+</mo><mi>O</mi><mrow><mo>(</mo><msubsup><mi>η</mi><mi>C</mi><mn>3</mn></msubsup><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>η</mi><mi>C</mi></msub><mo>=</mo><mn>1</mn><mo>−</mo><msubsup><mi>β</mi><mi>h</mi><mi>r</mi></msubsup><mo>/</mo><msubsup><mi>β</mi><mi>c</mi><mi>r</mi></msubsup></mrow></semantics></math></inline-formula> is the Carnot efficiency, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>β</mi><mi>h</mi><mi>r</mi></msubsup><mrow><mo>(</mo></mrow><msubsup><mi>β</mi><mi>c</mi><mi>r</mi></msubsup></mrow></semantics></math></inline-formula>) being the inverse temperature of the hot (cold) reservoir. However, such efficiency under maximal power can be produced by our machine model in the regimes where the machine without adiabatic deformation can only operate as a heater or a refrigerator.
ISSN:1099-4300