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Journal of Nanchang University

EVOLUTION OF QUANTUM STATE FOR MESOSCOPIC LC CIRCUTI

Wan Hua

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

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.

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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.
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.
The exact solution of time evolution operator is obtained by applying the gauge transform of algebra dynamic.Such an operator describes the quantum state of time depen- dence of mesoscopic LC circuit containing voltage source.The coherence of quantum state of mesoscopic LC circuit is taken into account.The result showed that the probability of charge stored in capacitor is a motional Gauss wave-packet.The relation between centre charge of wave-packet and voltage source is given.The special example in which the circuit is driven by single rectangle pulse is investigated.
The time evolution of a quantum state of mesoscopic LC circuit are studied in detail by using thermo-field dynamics (TFD) at a finite temperature. The result indicates that the quantum state of a mesoscopic LC circuit evolves from the thermal vacuum state to coherence state and go on by the action of an external impulse functional signal on the circuit; the thermal squeezing properties of charge and flux appear in the circuit under some conditions; and furthermore, the typical quantum squeezing effect may occur when certain conditions and particular temperature are meet.