标题： 通过调节一维统计特性实现手征保护态的操控 显示英文标题

标题： Chirally-protected state manipulation by tuning one-dimensional statistics

摘要： 手征对称性在格点模型中的典型相互作用下会被破坏，但任意子-哈伯德模型中体现的统计相互作用是一个例外。 这是一个关联跳跃模型的例子，在该模型中手征对称性保护了一个简并的零能子空间。 与实空间中任意子编织的传统方法相辅相成，我们绝热地演化统计参数，并在这个手征子空间中发现了非平凡的贝里相位和全纯性。 相应的状态在其$N$-粒子密度中具有稳定的棋盘图案，并且在绝热操控下保持不变。 我们提供了一个具体的方案，说明这些手征保护的零能态如何被制备、观测、验证和控制。 显示英文摘要

摘要： Chiral symmetry is broken by typical interactions in lattice models, but the statistical interactions embodied in the anyon-Hubbard model are an exception. This is an example for a correlated hopping model where chiral symmetry protects a degenerate zero-energy subspace. Complementary to the traditional approach of anyon braiding in real space, we adiabatically evolve the statistical parameter and find non-trivial Berry phases and holonomies in this chiral subspace. The corresponding states possess stationary checkerboard patterns in their $N$-particle densities which are preserved under adiabatic manipulation. We give an explicit protocol for how these chirally-protected zero-energy states can be prepared, observed, validated, and controlled.