论文标题
具有普遍不确定性原理的弱相互作用的胶体气体：量子重力的影响
Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity
论文作者
论文摘要
我们使用时间依赖性的hatree-fock-bogoliubov理论，研究了三维弱相互作用的bose气体在零和有限温度下的量子重力校正。我们为耗竭，异常密度和一些热力学量（例如化学电位，基态能量，自由能和超流体密度）提供了有用的公式。发现最小长度的存在会导致修改弱和强量子重力方案中冷凝物及其热力学特性的波动。出乎意料的是，由相互作用引起的量子重力效应和量子波动的相互作用可能会增加冷凝水和超氟级分。我们表明，量子重力可最大程度地减少玻色子之间的相互作用力，从而导致超富叶凝结物的形成。我们可以在当前实验中很容易探索的结果可能会为了解量子力学框架中的重力提供一种新的吸引力。
We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using the time-dependent Hatree-Fock-Bogoliubov theory. We derive useful formulas for the depletion, the anomalous density and some thermodynamic quantities such as the chemical potential, the ground-state energy, the free energy, and the superfluid density. It is found that the presence of a minimal length leads to modify the fluctuations of the condensate and its thermodynamic properties in the weak and strong quantum gravitational regimes. Unexpectedly, the interplay of quantum gravity effects and quantum fluctuations stemming from interactions may lift both the condensate and the superfluid fractions. We show that quantum gravity minimizes the interaction force between bosons leading to the formation of ultradilute Bose condensates. Our results which can be readily probed in current experiments may offer a new attractive possibility to understand gravity in the framework of quantum mechanics.
