Speaker
Description
We introduce an experimentally accessible network representation for many-body
quantum states based on entanglement between all pairs of its constituents. We illustrate the power of this representation by applying it to a paradigmatic spin chain
model, the XX model, and showing that it brings to light new phenomena. The
analysis of these entanglement networks reveals that the gradual establishment of
quasi-long range order is accompanied by a symmetry regarding single-spin concurrence distributions, as well as by instabilities in the network topology. Moreover,
we identify the existence of emergent entanglement structures, spatially localised communities enforced by the global symmetry of the system that can be revealed
by model-agnostic community detection algorithms. The network representation
further unveils the existence of structural classes and a cyclic self-similarity in the
state, which we conjecture to be intimately linked to the community structure. Our
results demonstrate that the use of tools and concepts from complex network theory
enables the discovery, understanding, and description of new physical phenomena
even in models studied for decades.
