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

International Journal of Modern Physics B

COLLAPSE AND REVIVAL EFFECT IN A MESOSCOPIC LC CIRCUIT

Haimei Luo, Yinghua Ji, Jie Liu

Published Mar 30, 2004• 1 citation
Publisher

Abstract

This paper studied the time evolution of quantum state in a mesoscopic LC circuit with the coupling energy caused by mesoscopic capacitor acting as a tunnel junction. It indicates that the state of the junction evolves into the quantum superposition of two coherent states and, in the state, nonclassical squeezing properties of the circuit appear. It also indicates that the dynamic behavior of the current shows collapse and revival phenomenon. The research in the paper will be helpful to miniaturize integrate circuits and electric components. It will be also important for the utilization of mesoscopic circuits to evolve the quantum states, which work as information carriers.

DOI
10.1142/s0217979204024586

Related papers

Squeezing effects of the mesoscopic LC circuit

Yinghua Ji

According to the fact that a mesoscopic capacitor can be regarded as a mesoscopic junction, we restudied the quantum effects of the mesoscopic LC circuit. The study shows: considering the coupling effects of the mesoscopic capacitor, the mesoscopic LC circuit will evolve from the vacuum state to a squeezing vacuum state. We also research the quantum fluctations of the squeezing vacuum state.

Chinese Journal of Quantum Electronics•Jan 1, 2005•0 citations

Collapse and Revival of Supercurrent in Mesoscopic Josephson Junctions in the Presence of Nonclassical Electromagnetic Field

Shao Bin, Zou Jian, Xing Xiu-San

Dynamic behavior of the supercurrent in a mesoscopic Josephson junction in the presence of a nonclassical electromagnetic field is investigated. It is shown that for the squeezed state the time evolution of the supercurrent can exhibit quantum collapse and revival phenomenon, while for the coherent state the phenomenon does not occur.

Chinese Physics Letters•Dec 1, 1997•5 citations

EVOLUTION OF QUANTUM STATE FOR MESOSCOPIC LC CIRCUTI

Wan Hua

The evolution of quantum state with time in the time-dependent mesoscopic LC circuit containing source is studied in this paper.The results indicate that under the action of external source,the system will evolve from the vacuum state to the squeezing state for time-dependent LC circuit containing source,but to the coherent state for time-independent LC circuit.

Journal of Nanchang University•Jan 1, 2001•0 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

Quantum effects of mesoscopic RLC circuit

Qing Liu

Based on the fact that the mesoscopic capacitor can be considered as a mesoscopic junction,we restudied the quantum effects of the mesoscopic RLC electric circuit.The study shows: considering the influence of the mesoscopic capacitor's coupling effects,the mesoscopic RLC circuit will evolve from the Fock state to a squeezing Fock state.We also research the quantum fluctuations of the squeezing Fock state.

Journal of Atomic and Molecular Physics•Jan 1, 2006•0 citations

QUANTUM FLUCTUATION AND REVIVAL OF SUPERCURRENT IN MESOSCOPIC JOSEPHSON JUNCTION DRIVEN BY CLASSICAL PERIODIC FIELD

Qian‐Shu Li, Bin Shao, Jian Zou +1 more

We examine an effective bosonic Hamiltonian describing a mesoscopic Josephson junction driven by a sinusoidal magnetic field. We study the effects caused by the Josephson nonlinearity and find that an initial vacuum state of the junction can evolve into a class of superposition state of coherent states. Further, we investigate the reduced quantum fluctuation of the junction variables and the dynamics of the supercurrent. Our results show that, due to the effect of Josephson nonlinearity, the time evolution of the supercurrent can exhibit the collapse and revival even when the junction is driven by a classical field.

International Journal of Modern Physics B•Jan 10, 2000•3 citations
This paper studied the time evolution of quantum state in a mesoscopic LC circuit with the coupling energy caused by mesoscopic capacitor acting as a tunnel junction. It indicates that the state of the junction evolves into the quantum superposition of two coherent states and, in the state, nonclassical squeezing properties of the circuit appear. It also indicates that the dynamic behavior of the current shows collapse and revival phenomenon. The research in the paper will be helpful to miniaturize integrate circuits and electric components. It will be also important for the utilization of mesoscopic circuits to evolve the quantum states, which work as information carriers.
We examine an effective bosonic Hamiltonian describing a mesoscopic Josephson junction driven by a sinusoidal magnetic field. We study the effects caused by the Josephson nonlinearity and find that an initial vacuum state of the junction can evolve into a class of superposition state of coherent states. Further, we investigate the reduced quantum fluctuation of the junction variables and the dynamics of the supercurrent. Our results show that, due to the effect of Josephson nonlinearity, the time evolution of the supercurrent can exhibit the collapse and revival even when the junction is driven by a classical field.