文章摘要
笪诚,范洪义.用纠缠态表象导出复杂量子介观电路的特征频率[J].安徽建筑大学学报,2016,24(3):73-80
用纠缠态表象导出复杂量子介观电路的特征频率
Obtaining Characteristic frequencies of complex quantum mesoscopic circuit through the entangled state representation
  
DOI:10.11921/j.issn.2095-8382.20160316
中文关键词: 纠缠态表象  介观电路  正则变换  特征频率
英文关键词: entangled state representation, mesoscopic circuit, canonical transformation, characteristic frequency
基金项目:安徽省高等学校自然科学研究重点项目(项目编号:KJ2016A504);安徽省高等学校省级质量工程教学研究项目(项目编号:2015jyxm327);巢湖学院博士科研启动基金资助项目(项目编号:KYQD—201407)
作者单位
笪诚 1.巢湖学院数理工程研究中心, 安徽合肥 238000 2.巢湖学院机械与电子工程学院, 安徽合肥 238000 
范洪义 1.巢湖学院数理工程研究中心, 安徽合肥 238000 2.中国科学技术大学材料科学与工程系, 合肥 230026 
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中文摘要:
      以讨论有互感和共用电容的两回路介观电路的量子化为例,我们提出复杂量子介观电路的特征频率的概念。在给出该电路正确的量子Hamilton 算符后,用纠缠态表象求出了系统在恒稳电路状态下的能量量子化公式以及特征频率,发现互感越大,特征频率越高。文中同时也得到了系统的波函数和零点能,这在经典框架中是无从顾及的。
英文摘要:
      By discussing quantization of a two-loop quantum mesoscopic circuit in which a capacitance is sharing and mutual inductance exists between two inductances, we propose the conception of characteristic frequency for complex electric circuit in the context of quantum mechanics. In the steady case of the circuit, after the quantum Hamilton operator is correctly deduced, and by using the entangled state representation, we derive the energy quantization formula and the characteristic frequency of the system. It shows that the greater the mutual inductance, the higher the characteristic frequency. At the same time, the wave function and zero point energy are also obtained, which are impossible to be taken into account in the classical framework of the system.
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