采用Wei-Norman方法,求出含时变电压源的介观LC电路随时间演化的精确解,应用相空间准概率分布函数,研究了时变电源作用下介观LC电路相干态的量子特性,结果表明此函数是一个二维运动的Gauss波包,其中心电量和磁通呈余弦和正弦变化.
The exact solution of time evolution of quantum state in the mesoscopic LC circuit driven by a time dependent source were obtained by applying the Wei-Norman method. The quasi-probability distribution functions of phase space was used to investigate the quantum state of the mesoscopic LC circuit in coherent state. The results show that the function of the system is two dimension motional Gauss wave-packet. The centre charge and flux of the wave-packet vary with cosine and sine wave.
参考文献
| [1] | Louisell W H.Quantum Statistical Properties of Radiation[M].New York:John Wiley,1973. |
| [2] | Cheng B,Li Y Q,et al.Quantum effects of charge in the mesoscopic circuit[J].Acta Physica Sinica(物理学报),1997,46(1):131-133(in Chinese). |
| [3] | Cui Y S.Quantum fluctuations of voltage and current in mesoscopic LC circuit[J].Acta Photonica Siniea(光子学报),1998,27(6):517-520(in Chinese). |
| [4] | Cui Y S,Bian Q P.The influence of source on quantum fluctuation in an active mesoscopic circuit[J].College Physics(大学物理),1999,18(4):10-12(in Chinese). |
| [5] | Wang J S,Liu T K,et al.Quantum fluctuations of a mesoscopic capacitance coupling circuits in a displaced squeezed lock state[J].Acta Physica Sinica(物理学报),2000,49(11):2271-2275(in Chinese). |
| [6] | Wang J S,Liu T K,et al.Quantum effects of a non-dissipatived mesoscopic circuit with inductance coupling[J].Acta Photonica Sinica(光子学报),2000,29(1):22-26(in Chinese). |
| [7] | Cui Y S.Quantum fluctuations under squeezed vacuum state and influence of source on the fluctuation in a mesoscopic coupled circuit[J].Chinese Journal of Computational Physics(计算物理),1999,16(3):321-327(in Chinese). |
| [8] | Ji Y H,Rao J P,et al.Quantum tunneling effect in the mesoscopic LC circuit[J].Acta Physica Sinica(物理学报),2002,51(2):395-398(in Chinese). |
| [9] | Ji Y H,Luo h M,et al.Preparation of Schr(o)dinger cat state via a mesoscopic LC circuit[J].Acta Physica Sinica (物理学报),2004,53(8):2534-2538(in Chinese). |
| [10] | Zhou X F.Evolution of quantum state in the mesoscopic LC circuit driven by time dependent source[J].Chinese Journal of Quantum Electronics(量子电子学报),2007,24(5):600-604(in Chinese). |
| [11] | Wang C,Zhang Li,et al.Classical and quantum detuning[J].College Physics(大学物理),1997,16(3):7-10(in Chinese). |
| [12] | Sun C P,Xiao Q.Wei-Norman algebraic method solving the evolution of the coherent states of electron in two dimensions[J].Commun.Theor.Phys.,1991,16(3):359-362. |
| [13] | Wigner E.On the quantum correction for thermodynamic equilibrium[J].Phys.Rev.,1932,40:749-759. |
| [14] | I S G,L M R.Table of Integrals Series and Products[M].6th Ed.,Elsevier(Singapore)Pte.Ltd,2004. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%