Entanglement scaling for λϕ24

Abstract

We study the $\ensuremath{\lambda}{\ensuremath{\phi}}^{4}$ model in $0+2$ dimensions at criticality, focusing on the scaling properties originating from the UV and IR physics. We demonstrate that the entanglement entropy, the correlation length $\ensuremath{\xi}$ and order parameters $\ensuremath{\phi}$ and ${\ensuremath{\phi}}^{3}$ exhibit distinctive double scaling properties that prove a powerful tool in the data analysis. The calculations are performed with boundary matrix product state methods on tensor network representations of the partition function to which the entanglement scaling hypothesis is applied, though the technique is equally applicable outside the realm of tensor networks. We find the value ${\ensuremath{\alpha}}_{c}=11.09698(31)$ for the critical point, improving on previous results.