Matrix Holography on an Optical Lattice

• URL: http://arxiv.org/abs/2609.05613v1
• Date: Fri, 04 Sep 2026 18:00:04 GMT
• Title: Matrix Holography on an Optical Lattice
• Abstract summary: We propose a quantum-simulation protocol based on a lattice of atomic ensembles and time-averaged Floquet dynamics.<n>We show that the coupling parameter can be tuned beyond $mathcalO(1)$, enabling the simulation of strong-coupling physics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose an analog quantum-simulation protocol based on a lattice of atomic ensembles and time-averaged Floquet dynamics to construct the four-body potentials that typically appear in bosonic BFSS-like matrix quantum mechanics. In contrast to gate-based digital implementations requiring deep circuits, our approach generates the target model through a fixed set of control stages per Floquet cycle, keeping the number of consecutive unitaries constant with respect to the matrix size $N$. The principal scaling cost in our construction is given by the frequency range required to control the growing lattice. We show that this cost grows at most as $\mathcal{O}(N^3)$, giving a polynomial scaling route to large$-N$, attractive to experimental implementation. Additionally, we demonstrate that the coupling parameter can be tuned beyond $\mathcal{O}(1)$, enabling the simulation of strong-coupling physics necessary for holographic phases.

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