介观LC电路在辐射场作用下约化密度方程的推导
The Derivation of Reduced Density Equation of Mesoscopic LC Circuit in a Thermal Radiation Field
DOI: 10.12677/APP.2013.39031, PDF, HTML,  被引量 下载: 2,503  浏览: 6,110 
作者: 夏小建：泉州师范学院物理与信息工程学院，泉州
关键词: 介观LC电路；辐射场；约化密度方程；Mesoscopic LC Circuit; The Radiation Field; Equation of Reduced Density
摘要: 介观LC电路不可避免会处于辐射场中，把辐射场看成是由无穷多谐振子组成的，选择介观LC电路为研究对象。本文从介观LC电路与辐射场相互作用的哈密顿量出发，把辐射场看成库，通过对库求迹，推导了介观LC电路在辐射场作用下的密度方程。
Abstract: Quantum LC circuit locates inevitably in radiation field; the thermal radiation field is a reservoir which is described by infinite harmonic oscillators, and quantum LC circuit is a system to be investigated. From the interaction between mesoscopic LC circuit and radiation field, the radiation is reservoir. We trace out the reservoir and deduce the equation of density.
文章引用：夏小建. 介观LC电路在辐射场作用下约化密度方程的推导[J]. 应用物理, 2013, 3(9): 167-170. http://dx.doi.org/10.12677/APP.2013.39031

参考文献

[1] Louisell, W.H. (1973) Quantum statistical properties of radia- tion. John Wiley, New York.
[2] Cheng, B., Li, Y.Q., et al. (1997) Quantum effects of charge in the mesoscopic circuit. Acta Physica Sinica, 46, 131-133.
[3] Cui, Y.S. (1998) Quantum fluctuations of voltage and current in mesoscopic LC circuit. Acta Photonica Sinica, 27, 517-520.
[4] Ji, Y.H., Rao, J.P., et al. (2002) Quantum tunneling effect in the mesoscopic LC circuit. Acta Physica Sinica, 51, 395-398.
[5] Ji, Y.H., Luo, H.M., et al. (2004) Preparation of schrodinger cat state via a mesoscopic LC circuit. Acta Physica Sinica, 53, 2534-2538.
[6] Xia, X.J. (2009) Evolution of quantum state in the mesoscopic LC circuit driven by a time dependent source. 26, 694-697.
[7] Zhou, X.F. (2007) Evolution of quantum state in the mesoscopic LC circuit driven by time dependent source. Chinese Journal of Quantum Electronics, 24, 600-604.
[8] Zhang, D.-Y., Guo, P. and Gao, F. (2007) Fidelity of two-level atoms’ quantum states in a strong thermal radiation field. Acta Physica Sinica, 56, 1906-1910.
[9] Tan, W.H. (2008) An introduction to quantum optics. Science Publication, Beijing.
[10] Bao, J.D. and Zhou, Y.Z. (2005) Anomalous dissipation: Strong non-Markovian effect and its dynamical origin. Physical Review E, 71, 010102.
[11] Bai, Z.W. and Bao, J.D. (2005) Classic and quantum diffusion in the presence of veloci-ty-dependent coupling. Physical Review E, 72, 061105.
[12] Orszag, M. (2007) Quantum optics. Science Publication, Beijing.

为你推荐