各向异性三角格子里德伯阵列中的热准魔鬼阶梯
Thermal quasi-Devil's staircase in an anisotropic triangular-lattice Rydberg array
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中文总结 AI 辅助
提出在有限里德伯原子阵列中通过热涨落克服拓扑势垒，实现可观测的热准魔鬼阶梯，并揭示其有限尺寸台阶并非相变。
中文摘要 AI 辅助
魔鬼阶梯是指当控制参数变化时，拓扑扇区之间的一系列跃迁序列。这类阶梯在受挫磁体和格点规范理论中被预测存在，但观测它们非常困难：标记每个扇区的绕数是受拓扑保护的，因此仅靠局部量子动力学无法使系统从一个台阶移动到下一个台阶。在此，我们提出并分析了一种在有限里德伯原子阵列中实现热准魔鬼阶梯的实验上可行的方法。我们使用二聚体映射、有向弦描述、精确热力学和蒙特卡洛模拟来研究各向异性三角格点伊辛反铁磁体。在无缺陷弦流形中，共度-非共度起始由简单的能量-熵平衡决定，而当三角规则缺陷稀少时，精确的伊辛临界关系简化为相同条件。在有限格点上，该起始表现为绕数扇区交叉的准魔鬼阶梯，我们通过绕数分布、结构因子和方向相关性来分辨它。关键点在于，热涨落克服了在纯量子动力学下阻碍扇区变化的拓扑势垒，并且该阶梯恰好存在于当前里德伯平台的有限尺寸和可调有效温度下。这使得该效应在现有实验中可直接观测。我们的比较还表明，有限尺寸台阶并非相变：在热力学极限下仅有一个相变存留，系统交叉到缺陷主导的顺磁体。
英文摘要
A Devil's staircase is a sequence of transitions between topological sectors as a control parameter is varied. Such staircases are predicted in frustrated magnets and lattice gauge theories, but observing them is hard: the winding number that labels each sector is topologically protected, so local quantum dynamics alone cannot move the system from one step to the next. Here we propose and analyze an experimentally feasible way to realize a thermal quasi-Devil's staircase in a finite Rydberg-atom array. We study the anisotropic triangular-lattice Ising antiferromagnet using a dimer mapping, a directed-string description, exact thermodynamics, and Monte Carlo simulations. In the defect-free string manifold, the commensurate--incommensurate onset follows from a simple energy--entropy balance, and the exact Ising critical relation reduces to the same condition when triangle-rule defects are rare. On a finite lattice, this onset appears as a quasi-Devil's staircase of winding-sector crossovers, which we resolve through winding distributions, structure factors, and directional correlations. The key point is that thermal fluctuations overcome the topological barriers that block sector changes under purely quantum dynamics, and the staircase exists precisely at the finite sizes and tunable effective temperatures of current Rydberg platforms. This makes the effect directly observable in existing experiments. Our comparison also shows that the finite-size steps are not phase transitions: in the thermodynamic limit only a single phase transition survives, and the system crosses over to a defect-dominated paramagnet.
发表机构
- Westlake University（西湖大学）
- Westlake Institute for Advanced Study（西湖高等研究院）
机构由 AI 辅助整理，请以论文原文为准。
