Quantum Fluctuation in Thermal Vacuum State for Mesoscopic LC Electric Circuit

Abstract

W e consider the quantization of LC (inductance-capacitance) circuit at a finite temperature T as any practical circuits always produce Joule heat except for superconductivity. It is shown that the quantum mechanical zeropoint fluctuations o f both charge and current increase with upgoing T . Thermal field dynamics is used in our discussion.

Selection Rules of Energy-Level Transition for the Capacitance Coupling LC Mesoscopic Circuit by Using Invariant Eigen-Operator Method

“…A single inductance-capacitance (LC) nondissipative mesoscopic circuit is one fundamental cell of mesoscopic electric circuits. Its quantization and quantum effects were first discussed by Louisell [10] and some more progress has been made in this field in recent years [11][12][13][14]. But most of work paid more attention to the quantization and the quantum effects.…”

Equivalent Analogy of Mesoscopic RLC Circuit and Its Thermal Effect

“…In recent years, the progress of quantum computation and quantum information, has made such a field become a hot spot again [6][7][8][9][10][11]. A single LC (inductance-capacitance) nondissipative mesoscopic circuit is a fundamental cell in mesoscopic circuits and its quantization and quantum effects were first discussed by Louisell [12], as is important for us to investigate complicated mesoscopic circuits.…”

Number-Phase Quantization Scheme and the Quantum Effects of a Mesoscopic Electric Circuit at Finite Temperature

“…In his scheme, electric charge q is quantized as the coordinate operator and electric current I multiplied by L is quantized as the momentum operator, then the L-C circuit is considered as a quantum harmonic oscillator. Based on Louisell's quantization scheme, much meaningful work about the electric circuits has been done [2][3][4][5]. Recently, instead of using Louisell's quantization scheme, a new quantized scheme has been proposed for mesoscopic L-C circuit in the context of number-phase quantization [6][7][8].…”