摘要
本文介绍了量子热机与量子热力学中的基本概念,研究了二维耦合谐振子这一具体的量子系统作为工质时的量子热机的相关性质。笔者以经典热力学中的有关概念进行类比,运用量子热力学相关研究,引入波戈留波夫(Bogoliubov)变换这一方法解决了二维耦合谐振子的势能项难以对角化的问题。此外,笔者以二维耦合谐振子为工质设计奥托循环热机,通过理论推导和数值计算获得了奥托热机的效率,并得出量子热机中各物理量与经典热机中对应量之间存在着统一的联系的结论。
This paper gives an introduction on the basic concepts of quantum heat engine and quantum thermodynamics while exploring relevant properties of the quantum heat engine system based on coupled harmonic oscillators.The authors drew references from classical thermodynamics and introduces Bogoliubov transformation so as to diagonalize the potential term in coupled quantum harmonic oscillators.The authors also based the quantum heat engine system on said oscillators and gives a detailed demonstration of acquiring the efficiency of Otto cycle utilized by this system,arriving at the conclusion that there is a unifying and cohesive factor that interconnects certain corresponding values between classical and quantum heat engines.
作者
武建安
方爱平
赵宇亮
高畅
蒋臣威
冯俊
张修兴
王小力
WU Jianan;FANG Aiping;ZHAO Yuliang;GAO Chang;JIANG Chenwei;FENG Jun;ZHANG Xiuxing;WANG Xiaoli(School of Physics,Xi'an Jiaotong University,Xi'an,Shaanxi 710049;School of Physics and Electrical Engineering,Weinan Normal University,Weinan,Shaanxi 714099)
出处
《物理与工程》
2024年第3期109-116,共8页
Physics and Engineering
基金
西安交通大学2023年基层教师教学发展组织建设项目(2302JF-01)
2023年基层教学组织教学改革研究专项(基础课程)
渭南师范学院教育科学研究项目(2020JYKX021)。
关键词
量子热机
谐振子
奥托热机
波戈留波夫变换
量子热力学
quantum heat engine
harmonic oscillator
Otto cycle
Bogoliubov transformation
quantum thermodynamics
