发表机构
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences; School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院物理研究所; 中国科学院大学物理科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文精确求解了一类具有隐藏时间反演对称性的边界驱动横向场伊辛模型，揭示耗散边界场控制稳态结构，并在弱驱动下产生长程线性衰减关联。
AI 中文摘要
耗散横向场伊辛（TFI）模型为非平衡量子多体物理提供了一个范式性设定。我们证明，一类仅在单一边界处受耗散影响的边界驱动TFI模型具有隐藏的时间反演对称性，这使得能够精确构造其非平衡稳态。该解允许矩阵乘积表示，并定义了一个非平衡配分函数，从中可以高效地评估稳态可观测量。我们利用精确解通过z磁化和两点关联来表征稳态的微观结构。一个显著特征是，耗散边界处的局域场控制着整个链中稳态的空间组织。稳态通常表现出边界局域的磁化分布和指数衰减的关联，其特征长度尺度由耗散边界设定。在弱驱动极限下，适当调谐的边界场可以将非平衡稳态（NESS）重组为离域的单一界面结构，从而产生随距离线性衰减的长程关联。
英文摘要
The dissipative transverse-field Ising (TFI) model provides a paradigmatic setting for nonequilibrium quantum many-body physics. We show that a class of boundary-driven TFI models subject to dissipation at only one boundary possesses hidden time-reversal symmetry, which enables an exact construction of their nonequilibrium steady states. The solution admits a matrix-product representation and defines a nonequilibrium partition function from which steady-state observables can be evaluated efficiently. We use the exact solution to characterize the microscopic structure of the steady state through its z-magnetization and two-point correlations. A striking feature is that the local field at the dissipative boundary governs the spatial organization of the steady state throughout the chain. The steady state typically exhibits boundary-localized magnetization profiles and exponentially decaying correlations, whose characteristic length scales are set by the dissipative boundary. In the weak-driving limit, suitably tuned boundary fields can reorganize the NESS into a delocalized single-interface structure, giving rise to long-range correlations that decay linearly with distance.
Comments18 pages, 8 figures
