论文标题
通过Kitaev链和交换定理的电流的全面计数统计数据
Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
论文作者
论文摘要
交换波动定理(XFTS)描述了几个系统之间粒子和能量交换的基本对称关系。在这里,我们研究了在相同温度下连接到两个储层但偏差不同的kitaev链的XFT。通过改变Kitaev链模型中的参数,我们通过分析计算传输电流的完整计数统计量,并为多个电流组件制定相应的XFT。我们还证明了具有数值结果的XFT。我们发现,由于kitaev链的哈密顿量中存在U(1)对称性破坏术语,因此出现了XFT的各种形式,并且可以用各种众所周知的运输过程来解释它们。
Exchange fluctuation theorems (XFTs) describe a fundamental symmetry relation for particle and energy exchange between several systems. Here we study the XFTs of a Kitaev chain connected to two reservoirs in the same temperature but different bias. By varying the parameters in the Kitaev chain model, we calculate analytically the full counting statistics of the transport current and formulate the corresponding XFTs for multiple current components. We also demonstrate the XFTs with numerical results. We find that due to the presence of the U(1) symmetry breaking terms in the Hamiltonian of the Kitaev chain, various forms of the XFTs emerge, and they can be interpreted in terms of various well-known transport processes.