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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
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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
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考虑电子与声子间相互作用,研究了两种声子库纯初始态(正则系综与粒子数态)下耗散介观电路的动力学特性.长时间极限下(t→∞):当环境处于热平衡态时,电路系统中的电流和电荷的平均值只与电路所处初始量子态中的平均值有关,与环境无关;环境初态为粒子数态时,电荷与电流平均值随时间的演化特性与环境初始处于热平衡态下时完全一样,表明介观电路中的电荷与电流的平均值与环境量子态的某组占有数无关.电路中电流和电荷的量子涨落不仅与系统的初态有关,还与系统所处环境的量子态及温度有关.一般地说,电路系统与环境的纠缠会
关键词:
介观耗散电路
声子库
量子初态
量子态纯度 相似文献
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QUANTUM FLUCTUATIONS IN A MESOSCOPIC DAMPED LC PARALLEL CIRCUIT IN DISPLACED SQUEEZED FOCK STATE 总被引:3,自引:0,他引:3 下载免费PDF全文
We study the quantum effects of a damped LC parallel circuit considering its different performance from an RLC series circuit in classical physics. The damped LC parallel circuit with a source is quantized and the quantum fluctuations of magnetic flux and electric charge in the circuit in displaced squeezed Fock state are investigated. It is shown that, as in the RLC series circuit, the fluctuations only depend on the squeezing parameter and the parameters of the circuit components in the damped LC parallel circuit, but the effects of the circuit components on the fluctuations are different in the two circuits. 相似文献
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Quantum Fluctuations in a Mesoscopic Inductance Coupling Circuit 总被引:9,自引:0,他引:9
Ji-Suo Wang Tang-Kun Liu Ming-Sheng Zhan 《International Journal of Theoretical Physics》2000,39(8):2013-2019
Starting from the equation of motion of a mesoscopic inductance coupling circuit,the quantum fluctuations of charge and current in the circuit are investigated inboth the eigenstates of the system and the squeezed vacuum state. The resultsshow that there exist quantum fluctuations of the charge and current in bothcases, and the fluctuations in each component circuit are connected. 相似文献
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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
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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
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Quantum mechanical effects of a nondissipative mesoscopic capacitance coupling circuit with source 总被引:4,自引:0,他引:4
Zhao-xian Yu De-xing Zhang Ye-hou Liu 《International Journal of Theoretical Physics》1997,36(9):1965-1971
The charge and current quantum zero-point fluctuations in a squeezed vacuum state of a nondissipative mesoscopic capacitance
coupling circuit with source are given. The quantum noise of this circuit at absolute zero temperature is derived. It is found
that there is a squeezing effect in this coupling circuit. 相似文献
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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
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Quantum Mechanical Effects in a Non-Dissipation Mesoscopic Coupled Circuit in the Presence of Source
Under the squeezed vacuum state, the quantum zero point fluctuations for both the charge and current of a non-dissipation mesoscopic coupled circuit in the presence of source are given. The quantum mechanical effects of this circuit at zero temperature are studied. 相似文献
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We study the quantum fluctuations of the charge and current of two L-C dissipative mesoscopic circuit with the mutual inductance in the vacuum state.Our results show that the system state will evolve to a squeezed coherent state under the effect of external source.We find that the squeezing amplitude parameter is relative to the parameters of circuit and the mutual-inductance coefficient in the existence of dissipation.When the circuit has no dissipation or there is complete coupling between two meshes,the squeezing amplitude parameter only depends on the capacitance‘s ratio. 相似文献
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压缩真空态下介观耦合电路的量子涨落及电源对量子涨落的影响 总被引:18,自引:0,他引:18
通过对无耗耦合含源介观电路的量子化和哈密顿量的对角化,求出了耦合电路的能谱,研究了压缩真空态下介观电路中电荷、电流的量子涨落和电源对量子涨落的影响。 相似文献
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Under the Born-von-Karmann periodic boundary condition, we propose a quantization scheme for a non-dissipative distributed parameter circuit (a uniform transmission line). Quantum fluctuations of charge and current in the vacuum state are investigated by adopting the canonical transformation and unitary transformation method. Our results indicate that in distributed parameter circuits, quantum fluctuations, which also have distributed properties, are related to both the circuit parameters and the positions and the mode of signals. 相似文献
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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
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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