发表机构
University of Geneva; Geneva Quantum Center, University of Geneva（日内瓦大学; 日内瓦量子中心，日内瓦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出基于原子系综晶格和时均Floquet动力学的模拟量子模拟协议，以多项式标度构造玻色型BFSS矩阵量子力学的四体势，并实现强耦合模拟，为全息相研究提供可行途径。
AI 中文摘要
我们提出一种基于原子系综晶格和时均Floquet动力学的模拟量子模拟协议，用以构造玻色型BFSS类矩阵量子力学中典型出现的四体势。与需要深电路的基于门的数字实现不同，我们的方法通过每个Floquet周期内固定的一组控制阶段生成目标模型，使得连续酉操作的数目相对于矩阵大小$N$保持不变。我们构造中的主要标度成本由控制不断增大的晶格所需的频率范围给出。我们证明该成本最多以$\mathcal{O}(N^3)$增长，从而为达到大$N$提供了一条多项式标度的途径，这对实验实现具有吸引力。此外，我们证明耦合参数可以调节到超过$\mathcal{O}(1)$，从而能够模拟全息相所必需的强耦合物理。
英文摘要
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.
Comments33 + 24 pages, 13 figures, 1 table
