Abstract:
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.
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Note location for this seminar is the Discover Learning Center, Room DLC 1B70, 1095 Regent Drive.
Refreshments @ 3:30 p.m.
See the CUbit website for streaming information https://www.colorado.edu/initiative/cubit/events