论文标题
没有本征态热化的热化
Thermalization without eigenstate thermalization
论文作者
论文摘要
在孤立的量子多体系统正在进行统一进化中，我们研究了子系统的热化，将系统的其余部分视为浴缸。在这种情况下，提出了本征状热假说（ETH）来解释热化。考虑一个几乎可以整合的sachdev-ye-kitaev模型，该模型通过添加随机的全4体相互作用作为对随机自由屈服模型的扰动而获得的。当子系统的大小大于平方根的大小，但仍然是系统尺寸的一部分，如果系统以随机乘积状态初始化，我们证明了热化，而几乎所有特征态都违反了ETH。从这个意义上讲，ETH不是热化的必要条件。
In an isolated quantum many-body system undergoing unitary evolution, we study the thermalization of a subsystem, treating the rest of the system as a bath. In this setting, the eigenstate thermalization hypothesis (ETH) was proposed to explain thermalization. Consider a nearly integrable Sachdev-Ye-Kitaev model obtained by adding random all-to-all 4-body interactions as a perturbation to a random free-fermion model. When the subsystem size is larger than the square root of but is still a vanishing fraction of the system size, we prove thermalization if the system is initialized in a random product state, while almost all eigenstates violate the ETH. In this sense, the ETH is not a necessary condition for thermalization.
