Quantum dynamics of inter-graph Rydberg atom interactions

Recently there is tremendous and glowing interest in using Rydberg atom systems for quantum computing and quantum simulation, especially because of their large scales and complex configurations adequate for mathematical graphs [1-2]. This, as we consider here, opens a new possibility to study the interactions among Rydberg atom clusters, i.e., the inter-graph Rydberg atom interactions [3]. The simplest case is two Rydberg atom graphs of a fully blockade distance, which results in super-atom interactions, the interactions among N-level Rydberg atom graphs are qutric couplings (for N=3) and beyond (for N=4,5,etc), and the interaction between two layered Rydberg atom graphs provides, for example, the bi-layer many-body physics. We experimentally investigate the quantum dynamics of as-interacting Rydberg atom graphs, where, for example, over 10 graphs are prepared identically or differently from each other, so that up to total N~100 atoms can be simultaneously used in an area of 100 um x 100 um. We investigate the mesoscopic structural phase transitions by tuning the strength of the given inter-graph interactions.