Quantum heat engine cycle working with a strongly correlated electron system  

作　　者：WANG HaiLong PAN Hui WANG RongMing 

机构地区：[1]Department of Physics and State Key Laboratory of Software Development Environment,Beijing University of Aeronautics and Astronautics,Beijing 100191,China [2]Key Laboratory of Micro-nano Measurement-Manipulation and Physics(Ministry of Education)and Department of Physics,Beijing University of Aeronautics and Astronautics,Beijing 100191,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2012年第5期792-797,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.50971011,11174022 and 10974011);the Beijing Natural Science Foundation (Grant No.1102025);the State Key Laboratory of Software Development Environment (Grant No.SKLSDE-2011ZX-19);the Research Fund for the Doctoral Program of Higher Education of China(Grant No.20091102110038)

摘　　要：A new model of a quantum heat engine （QHE） cycle is established, in which the working substance consists of an interacting electrons system. One of our purposes is to test the validity of the second law of thermodynamics by this model, which is more general than the spin-1/2 antiferromagnetic Heisenberg model since it would recover the spin model when the on-site Coulomb interaction U is strong enough. On the basis of quantum mechanics and the first law of thermodynamics, we show no violation of the second law of thermodynamics during the cycle. We further study the performance characteristics of the cycle by investigating in detail the optimal relations of efficiency and dimensionless power output. We find that the efficiency of our engine can be expressed as η = t22/t21 in the large-U limit, which is valid even for a four sites QHE.A new model of a quantum heat engine(QHE) cycle is established,in which the working substance consists of an interacting electrons system.One of our purposes is to test the validity of the second law of thermodynamics by this model,which is more general than the spin-1/2 antiferromagnetic Heisenberg model since it would recover the spin model when the on-site Coulomb interaction U is strong enough.On the basis of quantum mechanics and the first law of thermodynamics,we show no violation of the second law of thermodynamics during the cycle.We further study the performance characteristics of the cycle by investigating in detail the optimal relations of efficiency and dimensionless power output.We find that the efficiency of our engine can be expressed as η = 1 - t22/t12 in the large-U limit,which is valid even for a four sites QHE.

关 键 词：quantum heat engine strongly correlated electrons Hubbard model 

分 类 号：O413.1[理学—理论物理] TG111[理学—物理]