Experimental Demonstration of 7-Dimensional N-Vector Model with Dimensional Inflation and Annealing

Daniele Veraldi; Marcello Calvanese Strinati; Paolo Charlesworth; Matteo Spaziani; Silvia Gentilini; Davide Pierangeli; Claudio Conti

arXiv · 2610.18153

Experimental Demonstration of 7-Dimensional N-Vector Model with Dimensional Inflation and Annealing

Daniele Veraldi·Marcello Calvanese Strinati·Paolo Charlesworth·Matteo Spaziani·Silvia Gentilini·Davide Pierangeli·Claudio Conti

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Abstract

We report the first experimental realization of a physical system described by a high-dimensional Hamiltonian comprising up to seven dimensions. Our setup is based on a holographic optical computer, which realizes a dimensional inflation by spatial and temporal multiplexing of lower dimensional systems. We demonstrate an $N$-vector model, with applications in field theory and computing. The approach is scalable and enables table-top implementation of high-dimensional theoretical models, and novel methods for combinatorial optimization. We experimentally demonstrate dimensional annealing: by dynamically reducing the number of dimensions, the ground state of an Ising model is found in complex graphs by an adiabatic evolution from high-dimensional spaces.

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Daniele Veraldi, Marcello Calvanese Strinati, Paolo Charlesworth, Matteo Spaziani, Silvia Gentilini, Davide Pierangeli, Claudio Conti. 2026-10-13. Experimental Demonstration of 7-Dimensional N-Vector Model with Dimensional Inflation and Annealing. https://arxiv.org/abs/2610.18153

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