标题： 一维非可逆对称破缺的去禁闭量子临界性的类比 显示英文标题

标题： Analogs of deconfined quantum criticality for non-invertible symmetry breaking in 1d

摘要： 非可逆对称性的自发破缺可以导致一些奇异现象，例如有序和无序的共存。 在这里，我们探索一维自旋链中两种对应于不同非可逆对称性破缺模式的相之间的二阶相变。 临界点与被很好地理解的脱禁闭量子临界点的许多特征相同，例如扩大的对称性和参与转变的两个有序参数相同的指数。 有趣的是，这种涉及非可逆对称性的脱禁闭转变允许通过规范自旋翻转对称性来构建整个类似的临界点家族。 通过采用规范变换和玻色化，我们在临界点附近刻画了我们模型的相图。 我们还探讨了相关模型中的近似相和相变，包括由非可逆对称性强制的由可逆有序参数之间的脱禁闭量子临界点。 显示英文摘要

摘要： The spontaneous breaking of non-invertible symmetries can lead to exotic phenomena such as coexistence of order and disorder. Here we explore second-order phase transitions in 1d spin chains between two phases that correspond to distinct patterns of non-invertible symmetry breaking. The critical point shares several features with well-understood examples of deconfined quantum critical points, such as enlarged symmetry and identical exponents for the two order parameters participating in the transition. Interestingly, such deconfined transitions involving non-invertible symmetries allow one to construct a whole family of similar critical points by gauging spin-flip symmetries. By employing gauging and bosonization, we characterize the phase diagram of our model in the vicinity of the critical point. We also explore proximate phases and phase transitions in related models, including a deconfined quantum critical point between invertible order parameters that is enforced by a non-invertible symmetry.