标题： 宏观尺度上的量子理论 显示英文标题

标题： Quantum theory at the macroscopic scale

摘要： 微观世界的量子描述与宏观世界的经典描述在数学和概念上都是不相容的。 然而，通常认为经典力学在宏观极限下是从量子力学中出现的。 在本文中，我们对此观点提出挑战，并证明宏观系统的行为可以以一种对退相干、粒子损失和粗粒度（不精确）测量具有鲁棒性的方式保留量子形式主义的所有方面。 这种对预期宏观系统经典描述的偏离不仅仅是数学上的，而且也是概念上的，我们通过显式违反贝尔不等式和莱格特-加尔格不等式来加以说明。 显示英文摘要

摘要： The quantum description of the microscopic world is incompatible with the classical description of the macroscopic world, both mathematically and conceptually. Nevertheless, it is generally accepted that classical mechanics emerges from quantum mechanics in the macroscopic limit. In this letter, we challenge this perspective and demonstrate that the behavior of a macroscopic system can retain all aspects of the quantum formalism, in a way that is robust against decoherence, particle losses and coarse-grained (imprecise) measurements. This departure from the expected classical description of macroscopic systems is not merely mathematical but also conceptual, as we show by the explicit violation of a Bell inequality and a Leggett-Garg inequality.