Semi-classical states in quantum gravity are expected to exhibit long range correlations. In order to describe such states within the framework of loop quantum gravity, it is important to parametrize states in terms of their correlations. Recently, we introduced a new class of states with presecribed correlations, called squeezed vacua (see Dr. Yokomizo’s talk). In this talk, I will explain node-wise and link-wise squeezing, how the resulting states relate to coherent states studied in the past, and how to encode long-range correlations.

[Slides]