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

Journal of Southwest Jiaotong University

Quantum Fluctuations of Mesoscopic Double Resonance Circuit with Mutual Inductance and Capacitance-Inductance Coupling

Xing-Lei Xu

Published Jan 1, 2007• 1 citation
OpenAlex

Abstract

A mesoscopic double resonance circuit with mutual inductance and capacitance-inductance coupling was quantized using canonical quantization method.The Hamiltonian of the system was diagonalized by unitary transformation to obtain the eigenenergy spectra of the circuit.The quantum fluctuations of the charge and current in the two loops of the circuit were studied under squeezed vacuum excitation state,squeezed vacuum state and vacuum state,respectively.The results show that quantum fluctuations are dependent not only on circuit parameters,quantum number of excitation,squeezed coefficients and squeezed angle,but also on mutual inductance coefficient,capacitance and inductance.

Related papers

The Quantum Fluctuations of Mesoscopic Double Resonance Mutual Inductance and Capacitance Coupled Circuit in Thermal Excited State

Xu Xing

Mesoscopic double resonance mutual inductance and capacitance coupling circuit is quantized by the method of harmonic oscillator quantization linear transformation.The energy spectra of this circuit are given.The quantum fluctuations of the charge and current of each loop are researched by the method of thermo-field dynamics(TFD) in thermal excited state,thermal squeezed vacuum state,thermal vacuum state and vacuum state.It is show that,the quantum fluctuations of the charge and current are related to not only circuit inherent parameter and coupled magnitude,but also quantum number of excitation,squeezed coefficients,squeezed angle,environmental temperature.And,the quantum fluctuations increase with the increase of temperature.

Journal of Heze University•Jan 1, 2008•0 citations

The Quantum Fluctuations of Mesoscopic Double Resonance Mutual Inductance and Capacitance Coupling Circuit in Squeezed Vacuum State

Xing-Lei Xu

Mesoscopic double resonance mutual inductance and capacitance coupling circuit is quantized by the method of harmonic oscillator quantization.Hamiltonian is diagonalized by unitary transformation.The energy spectra of this circuit are given.The quantum fluctuations of the charge and current of each loop in squeezed vacuum state are researched.

Journal of Zhengzhou University•Jan 1, 2006•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 Complicated Coupling Circuit in the Squeezed Vacuum State

WU Qing

Mesoscopic complicated coupling circuit is quantized,and Hamiltonian is diagonalized by unitary transformation.The quantum fluctuations of the charge and current of each loop in the squeezed vacuum state and vacuum state are researched.The results show that quantum fluctuations are related to not only circuit device parameter,squeezed coefficients and squeezed angle,but also coupled magnitude of mutual inductance、capacitance and inductance.

Luoyang Shifan Xueyuan xuebao•Jan 1, 2010•0 citations

The Quantum Fluctuations of Mesoscopic Damped Mutual Capacitance Coupled Double Resonance RLC Circuit

Xing-Lei Xu

Mesoscopic damped double resonance mutual capacitance coupling circuit is quantized by the method of damped harmonic oscillator quantization.Hamiltonian is diagonalized by unitary transformation.The energy spectra of this circuit are given.The quantum fluctuations of the charge and current of each loop in Fock state and vacuum state are researched.

Journal of Jiangxi Normal University•Jan 1, 2006•0 citations

Quantum Fluctuations of Mesoscopic Capacitance Coupled Circuit With Mutual Inductance

Shou Zhang

The quantum fluctuations of charges and currents of mesoscopic capacitance coupled circuit with mutual inductance are studied by using canonical transformation and unitary transformation. The results show that when the components of the circuit are given, especially when the value of L1 = L2 is very small, with the increasing of coupling extent, the quantum fluctuations of charges in one loop of circuit decrease obviously, while those charge of the other loop increase obviously.

Chinese Journal of Quantum Electronics•Jan 1, 2004•0 citations
A mesoscopic double resonance circuit with mutual inductance and capacitance-inductance coupling was quantized using canonical quantization method.The Hamiltonian of the system was diagonalized by unitary transformation to obtain the eigenenergy spectra of the circuit.The quantum fluctuations of the charge and current in the two loops of the circuit were studied under squeezed vacuum excitation state,squeezed vacuum state and vacuum state,respectively.The results show that quantum fluctuations are dependent not only on circuit parameters,quantum number of excitation,squeezed coefficients and squeezed angle,but also on mutual inductance coefficient,capacitance and inductance.
Mesoscopic double resonance mutual inductance and capacitance coupling circuit is quantized by the method of harmonic oscillator quantization linear transformation.The energy spectra of this circuit are given.The quantum fluctuations of the charge and current of each loop are researched by the method of thermo-field dynamics(TFD) in thermal excited state,thermal squeezed vacuum state,thermal vacuum state and vacuum state.It is show that,the quantum fluctuations of the charge and current are related to not only circuit inherent parameter and coupled magnitude,but also quantum number of excitation,squeezed coefficients,squeezed angle,environmental temperature.And,the quantum fluctuations increase with the increase of temperature.
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.