边界驱动量子自旋系统中的输运：能流的单行道
Transport in boundary-driven quantum spin systems: One-way street for the energy current
摘要：
研究了由$\mathit{XXZ}$和$\mathit{XXX}$ Heisenberg模型给出的边界驱动非对称量子自旋链的输运性质。我们的方法利用对称变换的Lindblad主方程的动态系统。我们描述了建立与对称性相关的酉变换的数学步骤。对于一般的目标极化，我们显示的能量流，即，能量流的大小和方向不改变，因为我们在边界处倒置浴单向街道现象的发生。我们还分析了自旋电流在某些情况下，我们证明了唯一的稳态所有调查的情况下。我们的结果，涉及非平凡的性能的能量流，将感兴趣的研究人员工作的控制和操纵的量子输运。
英文摘要：
We study transport properties in boundary-driven asymmetric quantum spin chains given by $\mathit{XXZ}$ and $\mathit{XXX}$ Heisenberg models. Our approach exploits symmetry transformations in the Lindblad master equation associated to the dynamics of the systems. We describe the mathematical steps to build the unitary transformations related to the symmetry properties. For general target polarizations, we show the occurrence of the one-way street phenomenon for the energy current, namely, the energy current does not change in magnitude and direction as we invert the baths at the boundaries. We also analyze the spin current in some situations, and we prove the uniqueness of the steady state for all investigated cases. Our results, involving nontrivial properties of the energy flow, shall interest researchers working on the control and manipulation of quantum transport.
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