论文标题
在许多人体量子系统中，贝尔非本地性具有指数衰减相关性
Bell Non-Locality in Many Body Quantum Systems with Exponential Decay of Correlations
论文作者
论文摘要
使用钟形的质量作为探索非古典物理行为的工具，在本文中，我们分析了人们在多体量子物理学中会发现的东西。具体而言，将通常的相关场景构建为具体的自旋晶格，我们想知道是否有可能违反限制这种情况的铃铛。使用群集定理，我们能够证明一大批量子多体系统几乎在本地行为，只违反了钟声（如果是这样），仅以不重要的数量。我们还提供示例，通过反例解释我们的一些假设，并为我们的定理提供所有证明。我们希望该论文是独立的。
Using Bell-inequalities as a tool to explore non-classical physical behaviours, in this paper we analyze what one can expect to find in many-body quantum physics. Concretely, framing the usual correlation scenarios as a concrete spin-lattice, we want to know whether or not it is possible to violate a Bell-inequality restricted to this scenario. Using clustering theorems, we are able to show that a large family of quantum many-body systems behave almost locally, violating Bell-inequalities (if so) only by a non-significant amount. We also provide examples, explain some of our assumptions via counter-examples and present all the proofs for our theorems. We hope the paper is self-contained.
