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Chinese Journal of Quantum Electronics

Thermosqueezing effect in a mesoscopic LC circuit at a finite temperature

Min Chen

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

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.

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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.
Based on the information theory, we present a density matrix to discuss coherent and squeezed states in a mesoscopic LC circuit with time-dependent frequency. With the relevant operators included in the density matrix, a connection between the appearance of coherent and squeezed states is established, i.e., the quantum state evolution of the system is closely related to the initial state. Generally speaking, due to the effect of environment temperature, the mesoscopic LC circuit will evolve to a squeezed state when it initially lies in an excited state. In particular, at a low temperature, step changes of circuit parameters will result in a squeezed minimum uncertainty state if the resonance frequency remains the same after the change.
By extending the thermal field dynamics to the time dependent system, quantum fluctuations of the time dependent mesoscopic LC electric circuit at finite temperature were studied. While the up going temperature will increase the quantum fluctuations, time changes of the physical quantities such as the inductance and capacitance can suppress the quantum fluctuations. The electric source will not affect the quantum fluctuations, but will contribute to the averages of the charge and magnetic flux. It was also found that if there is a source, the averages will depend on the temperature; if there is no source, the averages will be zero and so temperature independent.