量子多体物理中的零点定理
Zero-point theorems in quantum many-body physics
浏览论文内容
中文总结 AI 辅助
该研究将传统单参数零点定理推广至多参数哈密顿量族，基于量子自旋系统相图能隙零点提出论证，给出普适的模型无关约束，为高维量子自旋模型临界现象研究提供支撑。
中文摘要 AI 辅助
我们基于不同维度量子自旋系统相图中能隙不可避免的零点，提出了若干零点型论证。我们考虑多参数哈密顿量族，将仅含单参数的传统零点定理进行推广。与零点定理类似，我们仅要求参数边界处与模型无关的变换关系，而不指定任何低能动力学或响应。我们进一步给出一系列猜想，以统一方式推广上述结论。我们的结果对任意高维量子自旋模型临界现象的可能相关算符，给出了强大且普适的与模型无关的约束。
英文摘要
We propose several zero-point type arguments based on the inevitable zero point(s) of a spectral gap in the quantum spin system phase diagrams in various dimensions. We consider multi-parameter families of Hamiltonian extending the conventional zero-point theorem that includes only one parameter. Analogously to the zero-point theorem, we only impose model-independent transformation relations along the parameter boundary, rather than specifying any low-energy dynamics or response. We further give a series of conjectures, which generalize our statements in a uniform way. Our results give powerful and universal model-independent constraints on the possible relevant operators for critical phenomena in quantum spin models in arbitrary high dimensions.
