Quantum Mechanical Properties Of Mesoscopic Circuit

In this paper, the theory deductions and numerical analysis on the quantummechanics effects for different models of mesoscopic circuits are studieddeeply under some special quantum states by using quantum theory and takingaccount of the charge discreteness.The thesis is divided into three chapters which are discribed as follows.Chapter 1 is the introduction of mesoscopic system which illustrates thefundamental concepts and recent development.In Chpater 2, Firstly, we summarized the method of quantization formesoscopic circuits which relevants to our later work. Secondly, cosideringthe resistance always exists in mesoscopic system actually, the quantumfluctuations in the mesoscopic circuits with dissipation are caculatedrespectively under Fock state and eigen state of ladder functor, and the effectsof the parameters on the quantum fluctuations are also investigated. Theresults show that the quantum fluctuations are related to the parameters of thecircuits and charge quantization closely.In Chapter 3, the effects of Coulomb blockade and quantum fluctuationsare investigated for the mutual inductances coupled mesoscopic system.Further, the relationships of quantum current and the conditions of Coulombblockade in this system are given here. The outcome indicates that theconditions of the Coulomb blockade are related to electric parameters of the loops, and the time variety frequency of the magnetic flux in two loops hassome connections with the value of the drive source expressly, The externalflux didn't take any effects on quantum fluctuations in Fock state.These quantum mechanics effects will exist in other models, and we cantake more attentions onit. These work will bring some guiding significances ondesigning micro-circuit, improving circuit integration level, reducing themonolithic power dissipation and lowering quantum noise.