Thermal Area Law in Long-Range Interacting Systems

Understand

The area law of the bipartite information measure characterizes one of the most fundamental aspects of quantum many-body physics.

• In thermal equilibrium, the area law for the mutual information universally holds at arbitrary temperatures as long as the systems have short-range interactions.
• In systems with power-law decaying interactions, $r^{-\alpha}$ ($r$: distance), conditions for the thermal area law are elusive.
• In this work, we aim to clarify the optimal condition $\alpha> \alpha_c$ such that the thermal area law universally holds.