Heat And Work In Decoherence Channel

As a phenomenological theory,thermodynamics possesses marvallous potential of charatering general physical laws.It explains and conducts our daily life,industrial processes and even could be the constraint of the new theorems.Among these,thermal machine,heat transmission see a great application of the thermodynamics.The tradi-tional theorem explaination of the thermodynamics is based on the statistics.Although,the statistics demands a whole collection of particles to guarantee the statistical inter-pretation,also,macroscopic view is considered.When going into the mesocopic scale,however,we could neither statitically deduce the thermodynamics laws by utilizing the statitics nor perform the experiments explicitly,as the interplay between the quantum properties and mesoscopic effect may gives new constraints.In chapter 1,the development and research content of quantum thermodynamics are introduced,and the structure of this paper is arranged.In chapter 2,we introduce and compare the traditional definition of heat based on dissipation and the recently proposed definition of heat based on entropy change.The expressions of heat and work in general system especially qubit system are given,and the relationship between work and heat under the continuous action of quantum channel is discussed.The definition and properties of mixed state temperature are given.Then the theoretical feasibility of extracting work under the latter definition is discussed to further indicate the rationality of the new definition.In chapter 3,we discuss the expression of entropy production for measuring the ir-reversibility of dynamic processes.After combining with the definition of heat based on entropy change,it is pointed out that the entropy production based on non-equilibrium thermodynamics of Alipour et al.is not always non-negative and cannot well represent the irreversibility in the evolution process of the actual open system.Considering the fluctuation theorem,A reasonable definition of entropy production is also discussed.In chapter 4,we summarize the results of this paper and give further prospects.