论文标题
边界驱动的量子旋转系统中的运输：能量电流的单向街道
Transport in boundary-driven quantum spin systems: One-way street for the energy current
论文作者
论文摘要
我们研究由$ \ Mathit {xxz} $和$ \ Mathit {xxx} $ Heisenberg模型给出的边界驱动的不对称量子旋转链中的传输属性。我们的方法利用了与系统动力学相关的Lindblad主方程中的对称转换。我们描述了构建与对称属性相关的统一转换的数学步骤。对于一般目标极化，我们显示了能量电流的单向街道现象的发生，即，当我们在边界处的浴缸倒转时，能量电流不会改变大小和方向。我们还分析了某些情况下的自旋电流，并证明了所有研究病例的稳态独特性。我们的结果涉及能量流的非平凡特性，应向研究人员感兴趣控制和操纵量子运输。
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.
