论文标题
晶格玻色子的热区法律
Thermal Area Law for Lattice Bosons
论文作者
论文摘要
据说，如果吉布斯状态的两个相邻区域之间的相互信息由其边界的区域控制，则可以满足热区法律。已经为具有界面相互作用（例如量子自旋系统）的系统得出了热区定律。但是，对于格子玻色子而言，这些论点分解了，因为相互作用是无限的。我们严格地在任何维度上为一类玻色石哈密顿人提供了热区法律，包括范式bose-Hubbard模型。超越有限相互作用的主要思想是通过双重PEIERLS-BOGOLIUBOV估算引入一个准无参考状态，并通过人工降低化学潜力。
A physical system is said to satisfy a thermal area law if the mutual information between two adjacent regions in the Gibbs state is controlled by the area of their boundary. Thermal area laws have been derived for systems with bounded local interactions such as quantum spin systems. However, for lattice bosons these arguments break down because the interactions are unbounded. We rigorously derive a thermal area law for a class of bosonic Hamiltonians in any dimension which includes the paradigmatic Bose-Hubbard model. The main idea to go beyond bounded interactions is to introduce a quasi-free reference state with artificially decreased chemical potential by means of a double Peierls-Bogoliubov estimate.
