储层条件化虚拟回返在互易莫特绝缘体中产生随机刘维尔皮肤局域化

中文摘要 AI 辅助

方向性耗散可以将弛豫模式集中在空间中，但将这种累积与关联物质中受控的微观过程联系起来，需要将虚拟电荷运动与自旋相干性分离。我们在一个半填充的哈伯德链中研究这种联系，该链具有互易跳跃和数守恒、方向选择性的虚拟双占据-空穴缺陷回返。通过消除电荷缺陷，然后消除莫特相干性，在明确的时间尺度分离下得到不对称的自旋交换率，完整的短链动力学支持在有限交换时间上的约化。平衡的随机回返将稳态布居和几个低 lying 右模式集中在样本选择的位置，而非预定的边缘，尽管端到端对数速率偏差为零，仍产生随机的刘维尔皮肤局域化。累积的速率不平衡确定了一个精确的有限密度硬核稳态和一个由随机势垒控制的一粒子激活弛豫尺度。这种局部校准的回返速率、多体稳态权重和慢弛豫之间的联系，提供了一种在不改变互易哈密顿量的情况下控制受限开放量子物质中输运的手段。

英文摘要

Directional dissipation can concentrate relaxation modes in space, but connecting this accumulation to controlled microscopic processes in correlated matter requires separating virtual charge motion from spin coherence. We study this connection in a half-filled Hubbard chain with reciprocal hopping and number-conserving, direction-selective returns of virtual doublon--hole defects. Eliminating charge defects and then Mott coherences yields asymmetric spin-exchange rates under an explicit separation of timescales, with full short-chain dynamics supporting the reduction on finite exchange times. Balanced random returns concentrate the stationary population and several low-lying right modes at sample-selected positions rather than a predetermined edge, producing random Liouvillian skin localization despite zero end-to-end logarithmic rate bias. The accumulated rate imbalance determines an exact finite-density hard-core stationary state and a one-particle activated relaxation scale governed by random barriers. This connection between locally calibrated return rates, many-body stationary weights and slow relaxation offers a means of controlling transport in constrained open quantum matter without changing the reciprocal Hamiltonian.

发表机构

• Tianjin Normal University（天津师范大学）
• Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）

机构由 AI 辅助整理，请以论文原文为准。