论文标题
关于量子介质的集体特性
On the collective properties of quantum media
论文作者
论文摘要
我们讨论了广泛的量子培养基的流体动力表示，这些量子具有相似的基本激发和分散性能。该表示涵盖了以任意潜力相关的任何类型的（远程）自我相互作用的量子系统。它还说明了可能出现的非线性，例如，由于玻色子的情况或费米（Fermions）的Pauli排除原则，例如，由于短期相互作用（碰撞）。该方法同样适用于各种物理场景，例如自我磨碎的量子介质（例如暗物质），量子等离子体，bose-Einstein凝结物和不符合的冷原子云。我们讨论了可以在这些不同系统之间绘制的形式类比，以及如何使用它们来实现模拟引力现象的实验室实验，尤其是在重力理论的背景下。为了证实我们的观点，我们更加仔细地详细介绍了非最小物质曲率耦合重力理论的情况。
We discuss the hydrodynamic representation of a wide class of quantum media exhibiting similar elementary excitations and dispersion properties. The representation covers quantum systems characterized by any type of (long-range) self-interaction, associated with an arbitrary potential. It also accounts for possible nonlinearities, which may arise e.g., due to short-range interactions (collisions) in the case of bosons, or from the Pauli exclusion principle for fermions. The approach equally applies to various physical scenarios, such as self-gravitating quantum media (e.g., dark matter), quantum plasmas, Bose-Einstein condensates, and non-condensed cold atomic clouds. We discuss the formal analogies that can be drawn between these different systems and how they can be used to realize laboratory experiments emulating gravitational phenomena, especially in the context of alternative theories of gravity. To substantiate our point, we elaborate more closely on the case of non-minimal matter-curvature coupling gravity theories.
