论文标题
XX链上的热量矫正
Heat rectification on the XX chain
论文作者
论文摘要
为了更好地了解热整流的最小成分，我们对一个简单的自旋链进行了详细的研究，即带有涉及全局散射器的lindblad动力学的开放XX模型。我们使用Jordan-Wigner转换来得出数学形式主义，以计算稳态的热电流和其他特性。 我们有严格的结果，以证明即使对于略有不对称的链，也可以证明热整流的发生。有趣的是，我们描述了在增加系统尺寸时的纠正不会衰减到零的情况，也就是说，整流在热力学极限下仍然是有限的。我们还描述了更多不对称链的数值结果。在这个简单的模型中，热矫正的存在表明该现象在量子自旋系统中普遍发生。
In order to better understand the minimal ingredients for thermal rectification, we perform a detailed investigation of a simple spin chain, namely, the open XX model with a Lindblad dynamics involving global dissipators. We use a Jordan-Wigner transformation to derive a mathematical formalism to compute the heat currents and other properties of the steady state. We have rigorous results to prove the occurrence of thermal rectification even for slightly asymmetrical chains. Interestingly, we describe cases where the rectification does not decay to zero as we increase the system size, that is, the rectification remains finite in the thermodynamic limit. We also describe some numerical results for more asymmetrical chains. The presence of thermal rectification in this simple model indicates that the phenomenon is of general occurrence in quantum spin systems.
