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

Time evolution of mesoscopic RLC circuit under a alternating voltage source

Zou Dan

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The mesoscopic RLC circuit with a alternationg voltage source was discussed by quantum invariant theory. The mutual-couple energe and the dissipation were also taken into account. The Hamiltonian of the mesoscopic system was derived from Lagrangian function. The wave function of the system will evolve to a squeezed state as time elapses. In conclusion, the state of the system will evolve from a arbitrary initial state to a general squeezed state.

Related papers

Time evolution of mesoscopic RLC circuit driven by an alternating current source

Qing Liu, Zou Dan, Ji Ying-Hua +1 more

According to the LR invariant theory, the mesoscopic RLC circuit driven by a alternating current source was discussed. The mutual coupling of electron wave functions between the two plates of capacitor and the resistance of the circuit were taken into account. In our conclusion, the quantum states which dominate the dynamic property of the system and the time evolution operator of the mesoscopic circuit were obtained. The wave function of the mesoscopic RLC system will evolve from an arbitrary initial state to a generalized squeezed state.

Acta Physica Sinica•Jan 1, 2006•2 citations

Time evolution of mesoscopic LC circuit under an alternating source

Zou Dan

The dynamical evolution of mesoscopic LC[WTBZ] circuit with alternating source is discussed by quantum invariant theory.The time evolution operator of the quantum state is obtained.Analytical results indicate that the system will evolve from initial state to squeezed state when the coupling effects from electron wavefunctions between mesoscopic capacitor plates are taking into account.

College Physics•Jan 1, 2006•1 citation

Evolution of Quantum State for Mesoscopic Circuits with Dissipation

Hua-Ming Wan, Haimei Luo, Yi-Fan Wang

Based on the maximum entropy principle, we present a density matrix of mesoscopic RLC circuit to make it possible to analyze the connection of the initial condition with temperature. Our results show that the quantum state evolution is closely related to the initial condition, and that the system evolves to generalized coherent state if it is in ground state initially, and evolves to squeezed state if it is in excited state initially.

Communications in Theoretical Physics•Dec 1, 2005•5 citations

Evolution of Quantum State for Mesoscopic Circuits with Dissipation

Wan, Hua-Ming, Luo Luo +3 more

Based on the maximum entropy principle, we present a density matrix of mesoscopic RLC circuit to make it possible to analyze the connection of the initial condition with temperature. Our results show that the quantum state evolution is closely related to the initial condition, and that the system evolves to generalized coherent state if it is in ground state initially, and evolves to squeezed state if it is in excited state initially.

理论物理通讯：英文版•Jan 1, 2005•1 citation

Quantum for effect mesoscopic RLC parallel circuit

Rao Huang

The evolution of quantum state with time in the mesoscopic RLC parallel circuit is studied. The results indicate that the system will evolve from the vacuum state to the squeezing state for RLC circuit.

College Physics•Jan 1, 2002•0 citations

Complete solution of zero-state response in mesoscopic RLC circuit

Zhou Xiao-fang

The exact solution of time evolution operator was obtained by applying the gauge transform of algebra dynamics.Such an operator describes the quantum state of time dependence of mesoscopic RLC circuit containing voltage source.The charge and current zero-state response of the import voltage signal in mesoscopic RLC circuit were acquired.The result shows that the system of mesoscopic RLC circuit has linear time invariant feature,and the response in mesoscopic RLC circuit is the same as that,in the macroscopic RLC circuit.

Chinese Journal of Quantum Electronics•Jan 1, 2008•0 citations
The mesoscopic RLC circuit with a alternationg voltage source was discussed by quantum invariant theory. The mutual-couple energe and the dissipation were also taken into account. The Hamiltonian of the mesoscopic system was derived from Lagrangian function. The wave function of the system will evolve to a squeezed state as time elapses. In conclusion, the state of the system will evolve from a arbitrary initial state to a general squeezed state.
According to the LR invariant theory, the mesoscopic RLC circuit driven by a alternating current source was discussed. The mutual coupling of electron wave functions between the two plates of capacitor and the resistance of the circuit were taken into account. In our conclusion, the quantum states which dominate the dynamic property of the system and the time evolution operator of the mesoscopic circuit were obtained. The wave function of the mesoscopic RLC system will evolve from an arbitrary initial state to a generalized squeezed state.
The exact solution of time evolution operator was obtained by applying the gauge transform of algebra dynamics.Such an operator describes the quantum state of time dependence of mesoscopic RLC circuit containing voltage source.The charge and current zero-state response of the import voltage signal in mesoscopic RLC circuit were acquired.The result shows that the system of mesoscopic RLC circuit has linear time invariant feature,and the response in mesoscopic RLC circuit is the same as that,in the macroscopic RLC circuit.