AI 中文总结
研究具有手征对称性的受限自旋链的量子混沌，发现其有对称性保护的精确零模流形及零能隙，通过混沌能级排斥产生能隙，在东西向动力学受限链验证机制并给出随机矩阵描述，还说明了能隙检测方法。
AI 中文摘要
混沌多体谱预计会密集填充其能量窗口。我们表明，具有手征对称性的受限自旋链避开了这一预期，通过拥有一个指数级大的对称性保护的精确零模流形，该流形在零能量处与周围谱由一个尖锐的能隙分隔。该能隙由混沌能级排斥产生，其宽度由零模数量乘以平均能级间距设定。我们在东西向动力学受限链中验证了这一机制，开发了一个最小随机矩阵描述，并展示了如何通过线性响应光谱检测该能隙。
英文摘要
Chaotic many-body spectra are expected to densely fill their energy window. We show that constrained spin chains with chiral symmetry evade this expectation by hosting an exponentially large manifold of symmetry-protected exact zero modes separated from the surrounding spectrum by a sharp gap at zero energy. The gap is generated by chaotic level repulsion, with width set by the number of zero modes times the mean level spacing. We verify this mechanism in an East-West kinetically constrained chain, develop a minimal random-matrix description, and show how the gap can be detected through linear-response spectroscopy.
Comments5 pages, 3 figures
