Quantum adiabatic shortcut heat engine with coupled harmonic oscillator as working medium and design method of its adiabatic shortcut process

Abstract

The invention discloses a quantum adiabatic shortcut heat engine using a coupled harmonic oscillator as a working medium and a design method of the adiabatic shortcut process. The heat engine uses the coupled harmonic oscillator as the working medium, and realizes the thermodynamic cycle of the heat engine through four processes of equal-volume heat absorption, adiabatic shortcut expansion, constant-volume heat release, and adiabatic shortcut compression. The adiabatic shortcut expansion process and the adiabatic shortcut compression process are adiabatic shortcut processes, which are used to replace the adiabatic process in the traditional heat engine. With the help of the anti-control method based on Lewis-Riesenfeld quantum invariants, an adiabatic shortcut is designed for the eigenfrequency of the coupled harmonic oscillator, and then the adiabatic shortcut process of the frequency change of the coupled harmonic oscillator is obtained by using the transformation relationship between the eigenfrequency and the bare frequency. Using the invention to drive the heat engine to complete the adiabatic stroke of the thermodynamic cycle increases the power more than 5 times. Compared with traditional heat engines, this heat engine does not reduce efficiency while increasing power, thus overcoming the problem of power-efficiency antagonism.

Description

technical field [0001] The invention belongs to the field of quantum control, and in particular relates to a quantum adiabatic shortcut heat engine using a coupled harmonic oscillator as a working medium and a design method for the adiabatic shortcut process thereof. Background technique [0002] With the development of quantum technologies such as quantum information, quantum measurement, quantum computing, and quantum communication, how to analyze the thermodynamic properties of quantum devices has become an urgent and thorny problem. As a platform for analyzing the thermodynamic properties of quantum devices, quantum heat engines have attracted the interest of many researchers. Improving the thermodynamic properties of quantum heat engines and improving the power and efficiency of heat engines not only has important theoretical significance, but also has huge application value. [0003] In conventional thermodynamics, if a thermodynamic cycle is performed quasi-statically...

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