发表机构
School of Physics, Nankai University（南开大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究希尔伯特空间碎片化对强到弱自发对称破缺的影响，发现守恒自旋词选择支持混合态序的局部通道，并给出精确的长距离值。
AI 中文摘要
强到弱自发对称破缺（SWSSB）可以在最大混合电荷扇区中发生，即使普通带电关联消失。我们研究了当电荷扇区分裂为动力学上不连通的碎片时这种序的行为。在一维$t$-$J_z$链中，具有物种分辨退相干时，每个碎片由一个守恒的自旋词标记。分离的有限区间之间的带电转移仅当中间自旋满足周期性约束时才保持该词。在全态两点意义上，我们使用该约束证明了在典型的固定组分碎片中，长程保真度和Rényi-1序的缺失，对所有在任意指定有限区间内的范数有界带电算子一致成立。具有原始自旋词周期$k$的碎片支持一个$k$粒子通道，其精确长距离值为$\ u^k(1-\ u)^k/k^2$，且少于$k$个格点上的带电算子无法携带此序。横向交换连接碎片同时保持全局电荷，并在有限尺寸下恢复全扇区稳态。因此，守恒的自旋词选择了能够支持混合态序的局部通道。
英文摘要
Strong-to-weak spontaneous symmetry breaking (SWSSB) can occur in a maximally mixed charge sector even when ordinary charged correlations vanish. We study this order when a charge sector splits into dynamically disconnected fragments. In a one-dimensional $t$-$J_z$ chain with species-resolved dephasing, each fragment is labeled by a conserved spin word. A charged transfer between separated finite intervals preserves that word only if the intervening spins satisfy a periodicity constraint. In the full-state two-point sense, we use this constraint to prove the absence of long-range fidelity and Rényi-1 order in typical fixed-composition fragments, uniformly over all norm-bounded charged operators in any prescribed finite interval. A fragment with primitive spin-word period $k$ supports a $k$-particle channel with exact long-distance value $ν^k(1-ν)^k/k^2$, and no charged operator on fewer than $k$ sites can carry this order. A transverse exchange connects the fragments while preserving the global charges and restores the full-sector steady state at finite size. The conserved spin word therefore selects the local channels that can support mixed-state order.
Comments16 pages, 5 figures. Comments are welcome!
