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Acta Physica Sinica

QUANTUM FLUCTUATION OF MESOSCOPIC CIRCUIT AT LOW TEMPERATURES

B Chen

Published Jan 1, 1995• 0 citations
OpenAlex

Abstract

Starting from equation of motion of an active RLC circuit, The energy charge and current fluctation of the circuit are discussed by means of fluctation-disspation theorm, It is found that these fluctations belonge to quantum effects at low temperature and give the uncertainty relation of charge and current; but when temperature is increased the fluctations would become classical theomdynamic fluctation.

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Starting from equation of motion of an active RLC circuit, The energy charge and current fluctation of the circuit are discussed by means of fluctation-disspation theorm, It is found that these fluctations belonge to quantum effects at low temperature and give the uncertainty relation of charge and current; but when temperature is increased the fluctations would become classical theomdynamic fluctation.
The quantum wavefunctions and the corresponding energy levels of a RLC (Resistance-Inductance-Capacity) electric circuit are obtained by using canonical quantization method and unitary transformation from the classical equation of motion. The quantum fluctuations of charge and current in an arbitrary eigenstate of the system have also been given as well as the uncertainty relation. It is showed that even if at 0 K charge and current in the circuit exhibit quantum fluctuations, which originates from fluctuations of zero point vibrations of the system.
By using the information-theoretic Wehrl entropy,the Wehrl entropy of a harmonic oscillator is obtained in thermal field.The mesoscopic RLC electric circuit is quantized.The relation between the Wehrl entropy and the quantum effects of mesoscopic RLC electric circuit is researched in thermal field.These results show that the Wehrl entropy is related to not only the engenfrequency,but also the temperature.And the quantum fluctuation and the corresponding uncertainty relation of charge and magnetic flux grow with the Wehrl entropy increasing and become small with the Wehrl entropy decreasing.So the Wehrl entropy can be regarded as a best measurement of the quantum fluctuation and the corresponding uncertainty of mesoscopic RLC electric circuit.