中国物理B ›› 2005, Vol. 14 ›› Issue (6): 1227-1231.doi: 10.1088/1009-1963/14/6/029

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Thermodynamics of squeezed states in mesoscopic circuits

刘清1, 嵇英华2, 罗海梅2, 雷敏生2   

  1. (1)Department of Physics, Jiangxi Normal University, Nanchang 330027, China; (2)Department of Physics, Jiangxi Normal University, Nanchang 330027, China； Key Laboratory of Optoelectronic & Telecommunicationof Jiangxi Province, Nanchang, Jiangxi 330027, China
  • 收稿日期:2004-11-08 修回日期:2005-01-25 出版日期:2005-05-27 发布日期:2005-05-27
  • 基金资助:
    Project supported by the National Sciencen Foundation of Jiangxi Province, China (Grant No. 0312019)

Thermodynamics of squeezed states in mesoscopic circuits

Ji Ying-Hua (嵇英华)ab, Luo Hai-Mei (罗海梅)ab,  Liu Qing (刘清)a, Lei Min-Sheng (雷敏生)ab   

  1. a Department of Physics, Jiangxi Normal University, Nanchang 330027, China; b Key Laboratory of Optoelectronic & Telecommunicationof Jiangxi Province, Nanchang, Jiangxi 330027, China
  • Received:2004-11-08 Revised:2005-01-25 Online:2005-05-27 Published:2005-05-27
  • Supported by:
    Project supported by the National Sciencen Foundation of Jiangxi Province, China (Grant No. 0312019)

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摘要： Based on information theory, we present a density matrix to discuss coherent and squeezed states for 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 system is highly relevant to the initial state. Generally speaking, due to the effect of circumstance temperature, mesoscopic LC circuit will evolve to squeezed state when it initially lies in an excited state. In particular, at a low temperature, step changes of circuit parameters will result in the squeezed minimum uncertainty state if the resonance frequency remains consistent after the change.

关键词: mesoscopic LC circuit, thermodynamics, squeezed state, coherent state

Abstract: Based on information theory, we present a density matrix to discuss coherent and squeezed states for 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 system is highly relevant to the initial state. Generally speaking, due to the effect of circumstance temperature, mesoscopic LC circuit will evolve to squeezed state when it initially lies in an excited state. In particular, at a low temperature, step changes of circuit parameters will result in the squeezed minimum uncertainty state if the resonance frequency remains consistent after the change.

Key words: mesoscopic LC circuit, thermodynamics, squeezed state, coherent state

中图分类号:  (Electronic transport in mesoscopic systems)

  • 73.23.-b
84.30.Bv (Circuit theory) 89.70.-a (Information and communication theory)