Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Journal of Quantum Electronics

Quantum fluctuations of a mesoscopic RLC electric circuit in thermal coherent states and thermal squeezed states

Zhongqing Wang

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

By thermo-field dynamics (TFD), we study the quantum fluctuations of charge and magnetic flux of a mesoscopic circuit including resistor, inductor and capacitor (RLC) in coherent states and squeezed states at finite temperature. It is shown that the fluctuations of charge and magnetic flux depend on not only the parameters of the circuit components but also the environmental temperature and squeezing parameters, while the fluctuations don't depend on displacement parameters.

Related papers

Quantum Fluctuations of a Mesoscopic RLC Circuit in a Displaced Squeezed Fock State

Xiaoguang Wang, Shaohua Pan

Starting from the equation of motion for a circuit including resistor, inductor and capacitor (RLC), we study the quantum fluctuations of charge and magnetic flux of a mesoscopic RLC circuit in a displaced squeezed Fock state. It is found that the fluctuations of charge and magnetic flux do not depend on the displacement parameter and there exist squeezing effects between them. We also show how to generate the displaced squeezed Fock state in the RLC circuit.

Chinese Physics Letters•Mar 1, 2000•15 citations

Quantum Fluctuations of Mesoscopic Series-parallel Connection RLC Circuit at a Finite Temperature

Xing-Lei Xu

When the inelastic coherence length of the charge carrier reaches the Fermi wavelength,quantum effects in electronic devices and circuit should be taken into account.Due to the existence of finite environmental temperature and damped resistance,practical circuits are always working in damped thermal states at finite temperature.With the rapid development of nanotechnology and microeletronics,the quantum effects of mesoscopic circuit have become an active problem now.In this paper,mesoscopic series-parallel connection RLC circuit was quantized by the method of damped harmonic oscillator quantization.Quantum fluctuatioins of the current and voltage of each branch were studied by thermo-field dynamics(TFD) theory in thermal vacuum state,thermal coherent state and thermal squeezed state.The results show that the quantum fluctuations of the current and voltage of each branch are related to not only parameters of the circuit,but also squeezed coeficients,squeezed angle and envionmental temperature.Because of the existence of current Joule heat,environmental temperature and damped resistances,the fluctuations increase with the increasing of temperature and decay with time.The study of these quantum fluctuation is significant for the design of miniature circuits and the reduction of quantum noise.

Journal of Xiamen University•Jan 1, 2007•0 citations

Quantum fluctuations of mesoscopic damped double resonance RLC circuit with mutual capacitance–inductance coupling in thermal excitation state

Xing-Lei Xu, Hongqi Li, Ji‐Suo Wang

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.

Chinese Physics•Aug 1, 2007•15 citations

THE QUANTUM FLUCTUATIONS OF MESOSCOPIC DAMPED MUTUAL INDUCTANCE COUPLED DOUBLE RESONANCE RLC CIRCUIT AT FINITE TEMPERATURE

Xing-Lei Xu, Hongqi Li, Shi-Min Xu +1 more

Mesoscopic damped mutual inductance coupled double resonance RLC circuit is quantized by the method of damped harmonic oscillator quantization and linear transformation. The energy levels of this circuit are given. By thermo-field dynamics (TFD), the quantum fluctuations of the current and voltage of each loop are researched in the thermal vacuum state, thermal coherent state and thermal squeezed state. It is shown that the quantum fluctuations of the current and voltage are related not only to the circuit inherent parameter and coupled magnitude of mutual inductance, but also squeezed coefficients, squeezed angle, environmental temperature and damped resistance. Furthermore, because of environmental temperature and damped resistance, the quantum fluctuations increase with the increase of temperature and decay along with time.

International Journal of Modern Physics B•Oct 30, 2007•8 citations

Quantum fluctuations in mesoscopic resistance- inducatance-capacitance electric circuits at finite temperature

Xian-Ting Liang, Fan Hong-Yi

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.

Chinese Physics•Jun 1, 2001•14 citations

Quantum Fluctuations of Mesoscopic RLC Circuit at Finite Temperature

QU Li-cheng

By making use of the quantum canonic ensemble theory,the quantum fluctuations of a mesoscopic RLC circuit in the mixed state have been studied.It is shown that the quantum fluctuations of the mesoscopic RLC circuit depend on not only the circuit component parameters,but also on the temperature.The higher temperature,the more quantum noise the mesoscopic RLC circuit exhibits.

Journal of Xuzhou Institute of Technology•Jan 1, 2007•0 citations
By thermo-field dynamics (TFD), we study the quantum fluctuations of charge and magnetic flux of a mesoscopic circuit including resistor, inductor and capacitor (RLC) in coherent states and squeezed states at finite temperature. It is shown that the fluctuations of charge and magnetic flux depend on not only the parameters of the circuit components but also the environmental temperature and squeezing parameters, while the fluctuations don't depend on displacement parameters.
When the inelastic coherence length of the charge carrier reaches the Fermi wavelength,quantum effects in electronic devices and circuit should be taken into account.Due to the existence of finite environmental temperature and damped resistance,practical circuits are always working in damped thermal states at finite temperature.With the rapid development of nanotechnology and microeletronics,the quantum effects of mesoscopic circuit have become an active problem now.In this paper,mesoscopic series-parallel connection RLC circuit was quantized by the method of damped harmonic oscillator quantization.Quantum fluctuatioins of the current and voltage of each branch were studied by thermo-field dynamics(TFD) theory in thermal vacuum state,thermal coherent state and thermal squeezed state.The results show that the quantum fluctuations of the current and voltage of each branch are related to not only parameters of the circuit,but also squeezed coeficients,squeezed angle and envionmental temperature.Because of the existence of current Joule heat,environmental temperature and damped resistances,the fluctuations increase with the increasing of temperature and decay with time.The study of these quantum fluctuation is significant for the design of miniature circuits and the reduction of quantum noise.
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.
Mesoscopic damped mutual inductance coupled double resonance RLC circuit is quantized by the method of damped harmonic oscillator quantization and linear transformation. The energy levels of this circuit are given. By thermo-field dynamics (TFD), the quantum fluctuations of the current and voltage of each loop are researched in the thermal vacuum state, thermal coherent state and thermal squeezed state. It is shown that the quantum fluctuations of the current and voltage are related not only to the circuit inherent parameter and coupled magnitude of mutual inductance, but also squeezed coefficients, squeezed angle, environmental temperature and damped resistance. Furthermore, because of environmental temperature and damped resistance, the quantum fluctuations increase with the increase of temperature and decay along with time.