激发相干态下介观电感耦合电路的量子效应

J4 ›› 2011, Vol. 28 ›› Issue (5): 605-611.

激发相干态下介观电感耦合电路的量子效应

蔡绍洪^1,2, 康金平², 张玉强²

1 贵州财经学院, 贵州省经济系统仿真重点实验室, 贵州贵阳 550004；
2.贵州大学物理系, 贵州贵阳, 550025

收稿日期:2011-04-07 修回日期:2011-08-18 出版日期:2011-09-28 发布日期:2011-08-18
通讯作者: 蔡绍洪（1958-）贵州仁怀人，博士，教授，博士生导师,研究方向为非平衡系统及其相变、介观系统的量子涨落、复杂系统及复杂网络。 E-mail:caish@mail.gzife.edu.cn
基金资助:
国家自然科学基金（10647005），贵州省科学技术基金（黔科合J字[2010]2143），贵州省教育厅自然科学基金（黔20090133）

Quantum effects in inductance coupled mesoscopic circuit at excited coherent states

CAI Shao-hong^1,2, KANG Jin-ping², ZHANG Yu-qiang²

1 Guizhou Key Laboratory of Economic System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China;
2 Department of Physics, Guizhou University, Guiyang 550025, China

Received:2011-04-07 Revised:2011-08-18 Published:2011-09-28 Online:2011-08-18

摘要/Abstract

摘要：

从无耗散介观电感耦合电路的经典运动方程出发，运用线性变换的方法对电路进行量子化，在此基础上计算了激发相干态下电路中电荷、电流的量子涨落。结果表明，在未接电源时各回路电荷、电流的平均值和方均值均不为零，存在量子涨落，涨落大小不仅取决于回路自身的参数，还与另一回路参数以及耦合电感参数有关，即两回路的量子噪声是相互关联的，而且它们还明显地依赖于电路所处的状态参数，即粒子数态参数和相干态参数。

关键词: 量子光学, 激发相干态, 线性变换, 介观电路, 量子效应

Abstract:

Starting from the classical movement equation of an non-dissipative inductance coupled mesoscopic circuit , the circuit is quantized by using the method of linear transformation,and based on this the quantum fluctuations of currents and charges at excited coherent states are calculated. The results show that the average and square average of current and charge of each loop are not zero without power, i.e. there exist quantum fluctuations. And the fluctuations are not only determined by the loop parameters, but also related to another loop’s parameters and coupled inductance parameters. The quantum fluctuations in two circuits are relevant, and obviously depend on the state parameters of circuits, i.e., parameters of particle count states and coherent states.

Key words: quantum optics, excited coherent states, linear transformation, mesoscopic circuit, quantum effect

中图分类号:

O431.2

蔡绍洪,康金平,张玉强. 激发相干态下介观电感耦合电路的量子效应[J]. J4, 2011, 28(5): 605-611.

CAI Shao-hong, KANG Jin-ping, ZHANG Yu-qiang. Quantum effects in inductance coupled mesoscopic circuit at excited coherent states[J]. J4, 2011, 28(5): 605-611.

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