Equivalent Analogy of Mesoscopic RLC Circuit and Its Thermal Effect

2010 ◽  
Vol 49 (8) ◽  
pp. 1768-1774
Author(s):  
Bao-Long Liang ◽  
Ji-Suo Wang ◽  
Shi-Xue Song ◽  
Xiang-Guo Meng
Keyword(s):  
Thermal Effect ◽  
Rlc Circuit ◽  
Mesoscopic Rlc Circuit

QUANTIZATION FOR THE MESOSCOPIC RLC CIRCUIT AND ITS THERMAL EFFECT BY VIRTUE OF GHFT

2009 ◽  
Vol 23 (30) ◽  
pp. 3621-3630 ◽  
Author(s):  
BAO-LONG LIANG ◽  
JI-SUO WANG ◽  
XIANG-GUO MENG
Keyword(s):  
Thermal Effect ◽  
Thermal Effects ◽  
Quantum Fluctuation ◽  
Canonical Quantization ◽  
Effect Of Temperature ◽  
Quantization Method ◽  
Rlc Circuit ◽  
Feynman Theorem ◽  
Mesoscopic Rlc Circuit

The mesoscopic single RLC (resistance-inductance-capacitance) circuit and the RLC circuit including complicated coupling are quantized by employing Dirac's standard canonical quantization method. The thermal effects for the systems are investigated by virtue of GHFT (the generalized Hellmann–Feynman theorem). The results distinctly show the effect of temperature on the quantum fluctuation.

Linear invariants and the quantum dynamics of a nonstationary mesoscopic RLC circuit with a source

2014 ◽  
Vol 28 (27) ◽  
pp. 1450212 ◽  
Author(s):  
I. A. Pedrosa ◽  
J. L. Melo ◽  
E. Nogueira
Keyword(s):  
Quantum Dynamics ◽  
Power Source ◽  
Oscillation Circuit ◽  
Uncertainty Product ◽  
Rlc Circuit ◽  
External Power ◽  
Arbitrary Weight ◽  
Gaussian Packet ◽  
Mesoscopic Rlc Circuit ◽  
Linear Invariants

In this paper, we use Hermitian linear invariants and the Lewis and Riesenfeld invariant method to obtain the general solution of the Schrödinger equation for a mesoscopic RLC circuit with time-dependent resistance, inductance, capacitance and a power source and represent it in terms of an arbitrary weight function. In addition, we construct Gaussian wave packet solutions for this electromagnetic oscillation circuit and employ them to calculate the quantum fluctuations of the charge and the magnetic flux as well as the associated uncertainty product. We also show that the width of the Gaussian packet and the fluctuations do not depend on the external power.

FLUCTUATIONS AT FINITE TEMPERATURE AND THERMODYNAMICS OF MESOSCOPIC RLC CIRCUIT CALCULATED BY USING GENERALIZED THERMAL VACUUM STATE

2011 ◽  
Vol 25 (31) ◽  
pp. 2353-2361 ◽  
Author(s):  
HONG-CHUN YUAN ◽  
XUE-XIANG XU ◽  
XUE-FEN XU ◽  
HONG-YI FAN
Keyword(s):  
Thermal Field ◽  
Quantum Noise ◽  
Vacuum State ◽  
Nonzero Temperature ◽  
Thermal Vacuum ◽  
Partial Trace ◽  
Expectation Value ◽  
Rlc Circuit ◽  
Thermal Vacuum State ◽  
Mesoscopic Rlc Circuit

By using the partial trace method and the technique of integration within an ordered product of operators we obtain the explicit expression of the generalized thermal vacuum state (GTVS) for an RLC circuit instead of using the Takahashi–Umezawa approach. According to thermal field dynamics (TFD), namely, the expectation value of physical observables in this GTVS is equivalent to their ensemble average, based on GTVS we successfully derive the quantum fluctuations at nonzero temperature and the thermodynamical relations for the mesoscopic RLC circuit. Our results show that the higher the temperature is, the more quantum noise the RLC circuit exhibits.

FLUCTUATION OF MESOSCOPIC RLC CIRCUIT AT PHOTON-SUBTRACTED AND PHOTON-ADDED THERMO VACUUM STATES WITH FINITE TEMPERATURE

2011 ◽  
Vol 25 (01) ◽  
pp. 31-39 ◽  
Author(s):  
XUE-XIANG XU ◽  
LI-YUN HU ◽  
HONG-YI FAN
Keyword(s):  
Wigner Function ◽  
Finite Temperature ◽  
Uncertainty Relation ◽  
Quantum Fluctuation ◽  
Expectation Values ◽  
Rlc Circuit ◽  
Vacuum States ◽  
Mesoscopic Rlc Circuit

By using the Wigner function to evaluate expectation values of any symmetrically order of operator in a classical fashion, we study the quantum fluctuation and the uncertainty relation of mesoscopic RLC circuit at photon-subtracted and photon-added thermo vacuum states. It is found that the fluctuations and the uncertainty relation of both charge and current are linearly related to the photon-subtracted and photon-added number.

scholarly journals Quantum Description of a Mesoscopic RLC Circuit

2011 ◽  
Vol 125 (6) ◽  
pp. 1133-1141 ◽  
Author(s):  
I. A. Pedrosa ◽  
A. P. Pinheiro
Keyword(s):  
Quantum Description ◽  
Rlc Circuit ◽  
Mesoscopic Rlc Circuit
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