Kitaev链电流的全计数统计与交换涨落定理
Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
摘要：
交换涨落定理（XFT）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，我们研究的Kitaev链连接到两个水库在相同的温度，但不同的偏见的XFT。通过改变Kitaev链模型中的参数，我们解析地计算了输运电流的全计数统计，并为多个电流分量制定了相应的XFT。我们还证明了XFT与数值结果。我们发现，由于Kitaev链哈密顿量中U（1）对称破缺项的存在，出现了各种形式的XFT，它们可以用各种已知的输运过程来解释.
英文摘要：
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.
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