Experimental investigation of boundary effects and small-to-large-N interpolation

Investigate the effects of boundaries in high-dimensional N-vector models and characterize the interpolation between small-N and large-N regimes experimentally.

Background

The paper situates the N-vector model as a framework spanning several physical systems, from the Ising model at N=1 to higher-dimensional models such as XY and Heisenberg systems. It identifies boundary effects and the relationship between finite- and large-dimensional regimes as unresolved high-dimensionality issues that had not yet been clarified experimentally.

The authors present a holographic optical platform capable of realizing N-vector Hamiltonians with dimensions up to N=7 and with dynamically varying dimensionality. Such a platform is intended to provide an experimental means of studying the explicitly identified open issues, although the paper itself does not investigate boundary effects or establish the interpolation between small-N and large-N regimes.

References

However, beyond theoretical models, no experiment helped to shade light on the open issues with high-dimensionality, such as the effects of boundaries or the interpolation between small- and large-$N$ regimes.

— Experimental Demonstration of 7-Dimensional N-Vector Model with Dimensional Inflation and Annealing  (2610.18153 - Veraldi et al., 13 Oct 2026) in Introduction