共查询到20条相似文献,搜索用时 62 毫秒
1.
Xing-Lei Xu Hong-Qi Li Ji-Suo Wang 《International Journal of Theoretical Physics》2006,45(12):2471-2482
Mesoscopic damped double resonance mutual capacitance coupled RLC circuit is quantized by the method of damped harmonic oscillator quantization. The Hamiltonian is diagonalized by unitary transformation. The eigenenergy spectra of this circuit are given. The quantum fluctuations of the charges and current of each loop are researched in excitation state of the squeezed vacuum state, the squeezed vacuum state and in vacuum state. It is show that, the quantum fluctuations of the charges and current are related to not only circuit inherent parameter and coupled magnitude, but also quantum number of excitation, squeezed coefficients, squeezed angle and damped resistance. And, because of damped resistance, the quantum fluctuation decay along with time.
PACS numbers: 03.65.-w,42.50.Lc. 相似文献
2.
Quantum fluctuations of mesoscopic damped double resonance RLC circuit with mutual capacitance--inductance coupling in thermal excitation state 总被引:7,自引:0,他引:7 下载免费PDF全文
Based on the scheme of damped harmonic oscillator quantization and
thermo-field dynamics (TFD), the quantization of mesoscopic damped
double resonance RLC circuit with mutual capacitance--inductance
coupling is proposed. The quantum fluctuations of charge and current
of each loop in a
squeezed vacuum state are studied in the thermal excitation case. It is shown
that the fluctuations not only depend on circuit inherent parameters,
but also rely on excitation quantum number and squeezing parameter.
Moreover, due to the finite environmental temperature and
damped resistance, the fluctuations increase with the temperature rising,
and decay with time. 相似文献
3.
介观耗散LC并联电路的量子效应 总被引:10,自引:1,他引:9
对介观耗散LC并联电路作阻尼谐振子处理,将其量子化。在此基础上,研究了Fock态及压缩真空态下,介观耗散LC并联电路中各支路电流和电压的量子涨落。结果表明,各支路电流电压的量子涨落均与电路器件的固有参数及所选量子态有关。 相似文献
4.
介观RLC电路中电荷和电流的量子涨落 总被引:6,自引:0,他引:6
发展了一种将有源RLC电路量子化的方法,在此基础上,研究了真空态下介观RLC电路中电荷、电流的量子涨落,特别是研究了电阻对量子涨落的影响. 相似文献
5.
介观串并联RLC电路的量子涨落 总被引:4,自引:0,他引:4
借鉴阻尼谐振子的量子力学处理的研究思想,将介观RLC串并联电路量子化.在此基础上,研究了真空态下各支路电流和电压的量子涨落.结果表明,各支路电流电压的量子涨落均与电路器件的参数有关,且随时间衰减. 相似文献
6.
利用热场动力学及相干热态表象理论,重构了有限温度下介观RLC电路的Wigner函数,研究了有限温度下介观RLC电路的量子涨落.借助于Weyl-Wigner理论讨论了有限温度下介观RLC电路Wigner函数的边缘分布,并进一步阐明了Wigner函数边缘分布统计平均的物理意义.结果表明: 有限温度下介观RLC电路中电荷和电流的量子涨落随着温度和电阻值的增加而增加,回路中的电荷和电流之间存在着压缩效应,这种量子效应是由于系统零点振动的涨落而引起的; 有限温度下介观RLC电路Wigner函数边缘分布的统计平均正好是储存在介观RLC电路中电容和电感上的能量. 相似文献
7.
利用热场动力学及相干热态表象理论,重构了有限温度下介观RLC电路的Wigner函数,研究了有限温度下介观RLC电路的量子涨落.借助于Weyl-Wigner理论讨论了有限温度下介观RLC电路Wigner函数的边缘分布,并进一步阐明了Wigner函数边缘分布统计平均的物理意义.结果表明:有限温度下介观RLC电路中电荷和电流的量子涨落随着温度和电阻值的增加而增加,回路中的电荷和电流之间存在着压缩效应,这种量子效应是由于系统零点振动的涨落而引起的;有限温度下介观RLC电路Wigner函数边缘分布的统计平均正好是储存在介观RLC电路中电容和电感上的能量. 相似文献
8.
介观二阶并联电路的量子涨落 总被引:3,自引:0,他引:3
从有源RLC并联电路的经典运动方程出发,通过引入复正则变量,提出了RLC并联电路的量子化方案.作为应用,研究了压缩真空态下介观并联RLC电路中电压,电流的量子涨落,并对结果进行了讨论. 相似文献
9.
发展了一种有源RLC电路的量子力学处理方案,在此基础上研究了压缩真空态下介观RLC电路中电荷和电流的量子涨落,着重研究了电阻和压缩参数对量子涨落的影响.
关键词: 相似文献
10.
介观RLC电路的量子效应 总被引:1,自引:0,他引:1
将介观电容器看作介观隧道结,对介观RLC电路作了相应的量子力学处理.研究了介观RLC电路系统的量子态演化.研究表明:考虑介观电容耦合效应的影响,介观RLC电路系统将由初始的Fock态演化到压缩Fock态,并讨论了电荷及磁通在压缩Fock态下的量子涨落. 相似文献
11.
Sincethelastdecadethemesoscopicphysicsandthenanoelectronicshavebeendevelopingrapidly[1,2].Withthecontinuedmicrominiaturization... 相似文献
12.
It is presented a quantum theory for an RLC circuit with a source in a thermal bath. It establishs and solves the equation of motion for the density operator of the circuit and discusses the effects of the dissipations on the fluctuations of the charge and of the magnetic flux in the circuit. 相似文献
13.
介观互感耦合阻尼并联双谐振电路的量子涨落 总被引:5,自引:1,他引:4
对介观互感耦合阻尼并联电路作双模耦合阻尼谐振子处理,将其量子化.通过三次幺正变换,将体系的哈密顿量对角化.在此基础上给出了体系的本征能谱,研究了Fock态、真空态下各回路电流和电压的量子涨落. 相似文献
14.
介观LC电路中电压、电流的量子涨落 总被引:53,自引:5,他引:48
从有源LC回路运动方程出发,通过引入正则变量、量子化有源LC电路,研究了真空态、压缩真空态下介观LC电路中电压、电流的量子涨落,并着重研究了压缩角对涨落的影响。 相似文献
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17.
YU You-Hong 《理论物理通讯》2008,49(4):1052-1054
The invariants for a mesoscopic RLC circuit with a
power source are studied and used to construct the squeezed states
and squeezed number states for the system. The quantum
fluctuations of the mesoscopic RLC circuit in the
squeezed states and squeezed number states are also investigated. 相似文献
18.
QUANTUM FLUCTUATIONS IN MESOSCOPIC RESISTANCE-INDUCTANCE-CAPACITANCE ELECTRIC CIRCUITS AT FINITE TEMPERATURE 总被引:9,自引:0,他引:9 下载免费PDF全文
By using the charge and current in a quantization resistance-inductance-capacitance (RLC) electric circuit, we construct a pair of canonical variables. Using this pair of variables and the thermal field dynamics, we obtain the fluctuations of charge and current in the RLC electric circuit at finite temperatures. It is shown that the fluctuations increase with increasing temperature and decrease with prolonging of time. 相似文献
19.
Using the path integral method we derive quantum wave function and quantum fluctuations of charge andcurrent in the mesoscopic RLC circuit. We find that the quantum fluctuation of charge decreases with time, oppositely,the quantum fluctuation of current increases with time monotonously. Therefore there is a squeezing effect in the circuit.If some more charge devices are used in the mesoscopic-damped circuit, the quantum noise can be reduced. We also findthat uncertainty relation of charge and current periodically varies with the period π/2 in the under-damped case. 相似文献
20.
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