论文标题
能量电流的单向街道:边界驱动量子旋转链中的无处不在现象
One-way street for the energy current: A ubiquitous phenomenon in boundary-driven quantum spin chains
论文作者
论文摘要
为了关注能量传输以量子标尺的非平凡性能的描述,我们研究了由边界驱动的$ \ mathit {xxz} $和$ \ Mathit {xxx} $ Heisenberg模型所描述的不对称量子旋转链。我们搜索与系统动力学相关的Lindblad Master方程的对称属性,以建立稳态的属性。在边界处目标极化的一般假设下,我们显示出与(但比)能量整流相关的效果,即单向街道现象,即单向街道现象,这是能量流的独特方法。确切地说,当我们在边界上倒入浴缸时,能量电流不会在大小和方向上发生变化:它的方向完全取决于大部分链中的不对称性。结果遵循独立于系统规模和运输方式。我们的发现表明,在边界驱动的自旋系统中,单向街道现象无处不在,我们认为,它们将是专门研究和建立用于控制和操纵能量电流的有效量子设备的领域的有用贡献。
Focusing on the description of nontrivial properties of the energy transport at quantum scale, we investigate asymmetrical quantum spin chains described by boundary-driven $\mathit{XXZ}$ and $\mathit{XXX}$ Heisenberg models. We search for symmetries properties of the Lindblad master equation related to the dynamics of the system in order to establish properties of the steady state. Under rather general assumptions for the target polarization at the boundaries, we show the occurrence of an effect related to (but stronger than) energy rectification, namely, the one-way street phenomenon, which is the existence of an unique way for the energy flow. Precisely, the energy current does not change in magnitude and direction as we invert the baths at the boundaries: its direction is completely determined by the asymmetry in the bulk of the chain. The results follow independent of the system size and of the transport regime. Our findings show the ubiquitous occurrence of the one-way street phenomenon for the energy flow in boundary-driven spin systems and, we believe, they shall be an useful contribution to the area devoted to the investigation and building of efficient quantum devices used to control and manipulate the energy current.