标题： 一个量子全息的玻色子模型 显示英文标题

标题： A Bosonic Model of Quantum Holography

摘要： 我们分析了一个qubit模型，我们认为该模型具有类似于费米子Sachdev-Ye-Kitaev（SYK）模型的量子引力描述。 我们考虑的模型被称为量子$q$-自旋模型，因为它具有$q$-局域的qubit相互作用。 此前它作为量子自旋玻璃模型被研究过，尽管我们发现该模型对于$q=2$、$q=3$以及可能的$q=4$是玻璃态的，但我们还发现了证据表明，在$q \geq 5$的最低温度下，其淬火自由能表现出之前未预期的类似SYK的行为。 这种类似SYK的物理特性包括幂律相关函数和广泛的低温熵，因此我们将该模型称为Spin SYK。 该模型是通用的，因为它包含了所有可能的$q$-体耦合，缺乏大多数对称性，并且没有空间结构，所以我们的结果可以被理解为在主要由多体相互作用支配的系统中确立了量子全息图的某种普遍性。 此外，我们讨论了一组广义模型，其中包括Spin SYK，并且在大局部希尔伯特空间维度的可解极限下，这些模型明确表现出类似SYK的物理特性。 我们还评论了具有SYK类似性质的玻色系统的含义，对于全息图、哈密顿量复杂性及相关主题的研究。 显示英文摘要

摘要： We analyze a model of qubits which we argue has an emergent quantum gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model. The model we consider is known as the quantum $q$-spin model because it features $q$-local interactions between qubits. It was previously studied as a model of a quantum spin glass, and while we find that the model is glassy for $q=2$, $q=3$, and likely $q=4$, we also find evidence for previously unexpected SYK-like behavior for the quenched free energy down to the lowest temperatures for $q \geq 5$. This SYK-like physics includes power-law correlation functions and an extensive low temperature entropy, so we refer to the model as Spin SYK. The model is generic in that it includes all possible $q$-body couplings, lacks most symmetries, and has no spatial structure, so our results can be construed as establishing a certain ubiquity of quantum holography in systems dominated by many-body interactions. Furthermore, we discuss a generalized family of models which includes Spin SYK and which provably exhibit SYK-like physics in the solvable limit of large local Hilbert space dimension. We also comment on implications of a bosonic system with SYK-like properties for the study of holography, Hamiltonian complexity, and related topics.