发表机构
Indian Institute of Technology Bombay; Kyoto University; Indian Institute of Technology Madras; Okinawa Institute of Science and Technology Graduate University（印度理工学院孟买分校; 京都大学; 印度理工学院马德拉斯分校; 冲绳科学技术大学院大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究大量相互不兼容的局部对称性如何影响本征态热化，发现非可积性可存活且ETH行为深入多体谱边缘，为低能态热化提供机制。
AI 中文摘要
众所周知，当存在大量相互兼容或对易的对称性或守恒律时，热化会被破坏。我们在此探讨大量相互不兼容的局部对称性如何支配本征态热化（ETH）。我们将通过键依赖的$\mathbb{Z}_2$对称量子自旋-$\frac{1}{2}$哈密顿量类中的模型来研究这一点，这类模型自然具备这种结构。这导致谱中由不兼容的对称性结构支配的指数级简并。在这里，利用谱诊断，我们表明尽管存在大量守恒量，但当它们不兼容时，非可积性可以存活。此外，我们表明，由于这种结构，ETH行为深入多体谱边缘仍然持续。换句话说，不兼容的局部对称性使得在低激发能量密度下获得足够的热力学熵成为可能，从而使ETH在接近基态时具有可操作性或预测性。
英文摘要
It is well-known that thermalization breaks down in presence of an extensive number of symmetries or conservation laws that are mutually compatible or commuting with each other. We ask here how an extensive number of mutually incompatible local symmetries govern eigenstate thermalization (ETH). We will investigate this through models within the class of bond-dependent $\mathbb{Z}_2$-symmetric quantum spin-$\frac{1}{2}$ Hamiltonians that naturally admit this structure. This leads to exponentially large degeneracies in the spectrum governed by the incompatible symmetry structure. Here, using spectral diagnostics, we show that non-integrability can survive despite extensively many conserved quantities when they are incompatible. Furthermore, we show that ETH behavior persists deep into the many-body spectral edge due to this structure. In other words, incompatible local symmetries enable a mechanism to obtain enough thermodynamic entropy at low excitation energy densities to make ETH operational or predictive near the ground state.
Comments6+7 Pages, 3+12 figures
