共查询到20条相似文献,搜索用时 46 毫秒
1.
LIU Jian-Xin YAN Zhan-Yuan 《理论物理通讯》2005,44(6):1091-1094
The research work on the quantum effects in mesoscopic circuits has undergone a rapid development recently, however the whole quantum theory of the mesoscopic circuits should consider the discreteness of the electric charge. In this paper, based on the fundamental fact that the electric charge takes discrete values, the finite-difference Schrodinger equation of the mesoscopic RLC circuit with a source is achieved. With a unitary transformation, the Schrodinger equation becomes the standard Mathieu equation, then the energy spectrum and the wave functions of the system are obtained. Using the WKBJ method, the average of durrents and square of the current are calculated. The results show the existence of the current fluctuation, which causes noise in the circuits. This paper is an application of the whole quantum mesoscopic circuits theory to the fundamental circuits, and the results will shed light on the design of the miniation circuits, especially on the purpose of reducing quantum noise coherent controlling of the mesoscopic quantum states. 相似文献
2.
The mesoscopic nonlinearinductance-capacitance circuit is a typical anharmonicoscillator, due to diodes included in the circuit. In this paper, using the advanced quantum theory of mesoscopic circuits, which based on the fundamental fact that the electric charge takes discrete value, the diode included mesoscopic circuit is firstly studied. Schrödinger equation of the system is a four-order difference equation in \hat{p} representation.Using the extended perturbative method, the detail energy spectrumand wave functions are obtained and verified, as an application ofthe results, the current quantum fluctuation in the ground state iscalculated. Diode is a basis component in a circuit, its quantization would popularize the quantum theory of mesoscopic circuits. The methods to solve the high order difference equation are helpful to the application of mesoscopic quantum theory. 相似文献
3.
Abstract The quantum theory for mesoscopic electric circuit with charge discreteness is briefly described. The Schrodinger equation of the mesoscopic electric circuit with external source which is a time function has been proposed. The Josephson-like effects in the mesoscopic electric circuit have been addressed. 相似文献
4.
《Physics letters. A》1998,246(5):446-450
The quantum theory for mesoscopic electric circuits with charge discreteness is briefly described. The Schrödinger equation of the mesoscopic electric circuit with an external source which is the time function has been proposed. The Bloch wave oscillation and Coulomb blockade in the mesoscopic electric circuit have been addressed. 相似文献
5.
Using the quantum theory for a
mesoscopic circuit based on the discretenes of electric charges,
the finite-difference Schrödinger equation of the non-dissipative mesoscopic inductance and capacity coupling circuit is achieved. The Coulomb blockade effect, which is caused
by the discreteness of electric charges, is studied. Appropriately
choose the components in the circuits, the finite-difference
Schrödinger equation can be divided into two Mathieu
equations in \hat p representation. With the WKBJ method, the
currents quantum fluctuations in the ground states of the two
circuits are calculated. The results show that the currents
quantum zero-point fluctuations of the two circuits are exist and
correlated. 相似文献
6.
7.
电荷不连续时电容耦合介观电路的量子回路方程及其能谱 总被引:11,自引:0,他引:11
考虑电荷具有不连续性的事实对双LC介观电路进行量子化,给出耦合形式的量子回路方程以及无相互作用Hamilton本征基矢下的电路能谱.结果表明,计及电荷离散性将使回路方程的形式发生明显变化;介观电路的能谱除与电路参数相关外,还明显地依赖于电荷的量子化性质. 相似文献
8.
The quantum Kirchhoff equation and quantum current and energy spectrum of a homogeneous mesoscopic dissipation transmission line
下载免费PDF全文
![点击此处可从《中国物理》网站下载免费的PDF全文](/ch/ext_images/free.gif)
On the basis of quantization of charge, the loop equations of quantum
circuits are investigated by using the Heisenberg motion equation for
a mesoscopic dissipation transmission line. On the supposition that
the system has a symmetry under translation in charge space, the
quantum current and the quantum energy spectrum in the mesoscopic
transmission line are given by solving their eigenvalue equations.
Results show that the quantum current and the quantum energy spectrum
are not only related to the parameters of the transmission line, but
also dependent on the quantized character of the charge obviously. 相似文献
9.
10.
Bin Chen Xiaojuan Shen LiLy Sun Rushan Han 《International Journal of Theoretical Physics》2007,46(2):199-205
The quantum theory for mesoscopic electric circuit with charge discreteness is briefly described. The Schrödinger equation of the mesoscopic electric circuit with external source which is the time function has been proposed. By using the instanton methods, the macroscopic quantum coherent phenomena and effective capacitance oscillation in the mesoscopic electric circuit have been addressed. 相似文献
11.
12.
Ji-Suo Wang Tang-Kun Liu Ming-Sheng Zhan 《International Journal of Theoretical Physics》2000,39(11):2595-2603
Starting from the classical equation of motion for a mesoscopic capacitancecoupling circuit, we study the quantum fluctuations of charge and current of themesoscopic capacitance coupling circuit in a displaced squeezed Fock state. Itis found that the quantum fluctuations of charge and current in each componentcircuit depend on the devices of two circuits and the squeezing parameters, whilethe fluctuations do not depend on displacement parameters. 相似文献
13.
本文利用含时微扰论,研究了电源幅值较小时介观LC电路中电荷与电流的量子涨落。在确定的温度下,系统将处在混合态,进一步得到有限温度下含源介观LC电路的量子涨落。研究表明有源介观LC电路的量子涨落不仅与电路参数有关,还与时间和温度有关。 相似文献
14.
介观金属双环系统中的持续电流和量子能谱 总被引:7,自引:1,他引:7
崔元顺 《原子与分子物理学报》2006,23(3):527-531
基于电荷的不连续性,对处于外磁场中的介观双环系统进行量子化.假设系统在电荷表象中具有变换的对称性,通过求解电流和Hamilton算符的本征值方程,给出介观金属环互感系统中的量子电流和能谱关系;分析和研究了介观金属环中量子电流和能谱的性质.结果表明,持续电流和量子能谱不仅与外磁场、介观双环参数有关,而且还明显地依赖于电荷的量子化性质. 相似文献
15.
WANG Zheng-Chuan SU Gang LI Ling GAO Jie 《理论物理通讯》2005,44(10)
In order to consider the thermal and electrical coherent transport in a mesoscopic conductor under the influence of electron-electron interaction, in this paper, we establish a method in terms of which one can analytically obtain the Hartree self-consistent potential instead of computing it by the numerical iterative procedure as usual, which is convenient for us to describe the thermal and electric current flow through a mesoscopic conductor. If we study the electron-electron interaction at the Hartree approximation level, the Hartree potential satisfies the Poisson equation and Schrodinger equation, so when we expand the action function S(x) by Planck constant h, the self-consistent potential and the wavefunction can be solved analytically order by order, and the thermal and electrical conductance can thus be obtained readily. However, we just show the quantum corrections up to the second order. 相似文献
16.
17.
The Quantum Fluctuations of Two Coupled Josephson Junctions with the Discreteness of Electric Charge
De-Xin Miao Ju-Ju Hu Ying-Hua Ji Shu-Qin Liu 《International Journal of Theoretical Physics》2007,46(11):2808-2815
The quantization of two Josephson junctions coupled via inductor with the discreteness of electric charges is proposed. The
finite-difference Schrodinger equation of the circuit system has been obtained in charge representation, and the Schrodinger
equation is turned to be Mathieu equation in flux representation. The wavefunction and energy spectrum can be solved by adopting
the canonical transformation and unitary transformation method. The results indicate that the quantum fluctuations of the
flux in the ground states of each mesh exist and are interrelated. 相似文献
18.
压缩角对介观耦合电压缩效应的影响 总被引:3,自引:0,他引:3
从无耗散的电感耦合是电路的经典运动方程出发,研究了压缩真空态下介观电感耦合电路中电荷和电流的量子涨落;着重分析了压缩幅角参数对电荷和电流量子压缩效应的影响,结果表明:在任意幅角θ下,电荷或电流的量子涨落不是随压缩参数r增加而单调地减小,而是存在着一个极小值。 相似文献
19.